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Q: Find d^2y/dx^2 as a function of t, for the given parameteric equations written below show all work ...

A: From the parametric equation, the derivative dy/dx can be calculated as follows.

Q: Is y=e6x −3x−2 a solution to the differential equation shown below? y′−6y=7x+3

A: Here given differential equation is:Find the solution of given differential equation and match the g...

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is inf...

A: The given function is f(x)=(7x2-70x)/(x2-100).The limit is to be calculated.

Q: Explain in your own words how to find the volume using the disk method. Include on example in your ...

A: Suppose that any solid of revolution with disc cross-section.In order to find the volume of these ty...

Q: Evaluate the integral. Integral from nothing to nothing hyperbolic cotangent StartFraction x Over ...

A: Refer to the integral,Rewrite the hyperbolic cotangent as,

Q: How can I get the result? Which is the result?

A: The function is given as

Q: Solve for complex x. e^(x^2+4x)=8

A: Solve the equation e^(x^2+4x) = 8 for complex x as follows.

Q: A grain silo consists of a cylindrical concrete tower surmounted by a metal hemispherical dome. The ...

A: Click to see the answer

Q: Find an equation of the tangent line to the curve at the given point. y x-2x + 1, (2, 5) Need Help? ...

A: We know that the value of slope of tangent to the curve y=f(x) at (a,b) is the value of dy/dx at (a...

Q: find the inverse of y from the function that is in the picture below

A: Giveninformation:The given function is

Q: Activity 5 Inverse Functions and their Derivatives 10. When a camera flash goes off, the batteries i...

A: Given:The function is Q(t) = Q0(1−e−t/a), where t is the time in seconds and Q0 is the maximum char...

Q: If l0g x=0.35 and fog6N0.5, evaluate the fo llowig expression.

A: Here, we use the above log rules.

Q: How can I get the result? Which is the result?

A: The given function is,

Q: How do I solve this Bernoulli equation using P(x), Q(x) and n as well as u(y)?

A: First, we write it in form of Bernoulli Differential equation.

Q: How can I get the result? Which is the result?

A: Find the critical points.

Q: A storage shed is to be built in the shape of a box with a square base. It is to have a volume of 56...

A: Let the length of each side of the base= x feet and the height of the box= y feet. Volume = length *...

Q: What is the particular solution for y′=−6x+3 that passes through the point (−4,−8)? Do not include "...

A: The given differential equations is y′=−6x+3.

Q: please show ALL your steps

A: we are given a function

Q: The number of miligrams x of a medication in the bloodstream t hours after a dose is taken can be mo...

A: we are given a function

Q: A fence is to enclose a lot with area 100 square meters. The front of the fence (considered the east...

A: Let the length of the east-west side is = x meter and the length of the north-south side is = y mete...

Q: for the function f, given below, find the antiderivative F that satisfies F(1) = 1 The antiderivativ...

A: First, we find the general solution using integration.

Q: Find the point on the plane 4x+5y+x=11 that is nearest to (2,0,1). What are the values for x, y, and...

A: The equation of the plane is

Q: Please help me solve this differential equation.

A: Let, z=x-y

Q: I need help with this please. How do I find the volume generated by revolving the region bounded by ...

A: Given information:The region bounded by y = -sinx and y=0, from x= -2pi to x=0, about the x-axis

Q: Find the aveage temperature in the box. Please refer to image. The bounds of x are 0 and ln3 The bo...

A: Given information:The given temperature distribution is T(x,y,z)=15e-x-y-z.

Q: Please help

A: Since f(x0,y0) is minimum of f(x,y). Then g(0) is minimum of g(t). That means g(0)<g(t) for t any...

Q: 2x4 +4x3 y″−6(lnx)y‴=−3x3 −2x5 y(4) +7(lnx)y′ What is the order of the differential equation shown...

A: The given differential equation is ,2x4 +4x3 y″−6(lnx)y‴=−3x3 −2x5 y(4) +7(lnx)y′. The order of the ...

Q: An important question about many functions concerns the existence and location of fixed points. A f...

A: Given functions are f(x) = 17x cos x and f(x)=x. We graph them first and find where do they meet on...

Q: Find the absolute extrema of the given function on the indicated closed and bounded set R. (Order yo...

A: We are given a function and a closed interval as

Q: A theorem states that one local extremum implies an absolute extremum. Verify that the following fu...

A: The given function is,

Q: How can I get the result? Which is the result?

A: In a graph, a function is said to be increasing if it is rising from left to right and is said to be...

Q: I need help please.

A: Rewrite the given series and proceed further.

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)32t +53, where t is in second...

A: a)The given velocity function is v(t) = −32t + 53.In order to find the initial velocity, substitute ...

Q: Use the Divergence Theorem to compute the net outward flux of the vector field F=<x2 , -y2, z2>...

A: The vector field is given as

Q: how to find Find the exact length of the polar curve. r = θ2, 0 ≤ θ ≤ 7π/4

A: The polar curve I given as, r = θ2, 0 ≤ θ ≤ 7π/4.The formula to calculate the exact length of th...

Q: Find the work required to move the object on the line segment. Please refer to attached image.

A: As a first step we need to parameterize the curve C. The curve has two points (1, 4, 1) and (4, 16, ...

Q: b. Find the area of the region bounded by Y = xe ax and the x-axis on the interval 0,41, where a> 0....

A: Area of region which is bounded by f(x) and x-axis on [0,4] computed as follows.

Q: Find the exact value of log10(15/4)+log10(4000/15)

A: Given information:The given expression is

Q: Determine if y=ex −7x−4 is a solution to y′−y=7x−3.

A: To test whether the given function y(x) is a solution of the given differential equation

Q: How can I get the result? Which is the result?

A: The definite integral is given as

Q: The graphs of y=1.1x and y=x have two points of intersection, while the graphs of y=2^x and y=x have...

A: Here, we are given that for a real number 1< p < 2 , the graphs of y=px and y=x have exactly o...

Q: Find the area, in square units, bounded by f(x)=3x+5 and g(x)=2x+1 over the interval [0,12]. Do not ...

A: Area of region between f(x) and g(x) over the interval [0,12] is computed as follows.

Q: Hello, How do I know when the limit is since it is not going by pi/6, pi/4, pi/3, pi/2, pi, and 2pi...

A: As a first step I will respond to your specific question "What is the limit? Or how do i know when t...

Q: If f(x) 3x-2then f(x) = x 2x+ 2x5/3 2x 2x-1 12 1+5x8/3 3x2 2x-53-3x-3/2 x2 none of the above

A: The given function is,

Q: The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers. Make a complete ...

A: The equation abs(y/a)^n + abs(x/a)^n = 1,

Q: curves. Find the volume of the solid generated when R is revolved about the x-axis Let R be the regi...

A: Use disk method to find the volume of the solid generated when R is revolved about the x-axis is cal...

Q: Which is the result?

A: We are given a function as

Q: Find the area of the following surface using a parametric description of the surface. The cap of t...

A: Consider the surface that is the cap of sphere:

Q: Kindly help me with this differential equation and identify P(x), Q(x) and v(x).

A: The given differential equation is,

Q: Use the Divergence Theorem to compute the net outward flux of the field F=(2x, 3y, -z) across the s...

A: To calculate the net outward flux of the given vector field across the given surface