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Q: how to solve problem in photo attached

A: Given:

Q: Evaluate the integral by changing to spherical coordinates. 2 - x2 -y2 16 x2 4 yz dz dy dx 0 10 x2 y...

A: The integral is given by,

Q: Find the derivative of the function. f(x) = x6 ln(x)

A: Click to see the answer

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. 4. ...

A: We have to use area formula of polar coordinates with a= pi/2 and b=2pi

Q: 3.4 Can you show me the steps to solve the problem? Directions: Find the limit or show that it does ...

A: The given limit is,

Q: Consider the following.x = 1 + t2y = t2 + t3 (a) Find the following.(dy)/(dx) = (d^2y)/(dx^2) = (b) ...

A: Click to see the answer

Q: Differentiate y = e*cos x У'3

A: To find the derivative of the function which is exponential in nature

Q: #9

A: To find: The limit exists or not.

Q: Find the volume of the solid created by rotating the region bounded by y = sinh x, y = cosh x, x = 0...

A: Sketch of the region:

Q: Change from rectangular to spherical coordinates. (Let p 2 0, 0 < 0 < 2n, and 0 s p n.) (0, 2 3, 2) ...

A: Formula for the converting rectangular coordinates to spherical coordinates.

Q: dy Given the equation below, find 36542yys = 41 dy da

A: We are given,

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 44...

A: Click to see the answer

Q: Does the series ∞ ∑(cos(πn))/n(squareroot(n)) n=1 converge absolutely, converge conditionally, or...

A: Consider the given series,

Q: Video Example Suppose that f(0) = -7 and f'(x) < 8 for all values of x. How large can f(3) possibly ...

A: To estimate the maximum possible value for f(3) under the given conditions

Q: let f(x)=1/2ln(1+x/1-x). compute the inverse function f-1 (x) and find its domain and range.

A: Find the inverse of the function and find its domain and range

Q: Can I get help with this problem step by step?

A: The gives figure is shown below:

Q: + SPreCalc7 6.2.053. The angle of elevation to the top of a very tall Building is found to be 6° fro...

A: The angle of elevation from a point A to the top of a building is given as 6 degree and the distance...

Q: If f(x) = exg(x), where g(0) = 5 and g'(0) = 2, find f '(0).

A: Consider the function f(x) = ex·g(x).we have g(0) = 5, g’(0) = 2To find the first derivative of f(x)...

Q: Calculus Question

A: Given,

Q: The population (in millions) of the United States between 1970 and 2010 can be modeled as p(x) = 20...

A: Consider the given information:

Q: Did I solve the question correctly? (my work is the second picture.)

A: To write down the first few terms of the sequence defined by the given conditions

Q: A sandbag is dropped from a balloon at a height of 60 meters when the angle of elevation to the sun ...

A: Click to see the answer

Q: let q be the quantity and p be the price in this question. find the instantaneous rate of change, of...

A: To determine the instantaneous rate of change of q with respect to p.

Q: Find the arc length of the following curve on the given integral by integrating with respect to x. f...

A: Consider the given curve.

Q: for this problem in the answer it says, cos^-1 (1/2)= pi/3,-pi/3. Why is that? Why did they go count...

A: According to question

Q: Calculus Question

A: The given function is,

Q: Find the integral of x^2 * cos(4x) dx.

A: To compute the indefinite integral.

Q: indefinite integral of 3x−5/6 dx

A: The given integral is,

Q: dz Find given: dt ce dz dt Your answer should only involve the variable t

A: To find the derivative of z with respect to the parameter t

Q: Use the graphing guidelines to make a complete graph of f(x)=tan-1(x2/square root of 3)

A: The given function is

Q: Eavluate the gradient vector at the given point. a) f(x,y) = cos2(πxy) at (1,-1) b) f(x,y,z) = xeyz ...

A: a) Given function is

Q: 62. If a couple has $80,000 in a retirement account, how long will it take the money to grow to $1,0...

A: If P is the principal invested at a continuously compounded rate of r over time period t, the the ma...

Q: Express the given quantity as a single logarithm In(x 2)7 In x In(x23x 2)2 2

A: Make the coefficients into exponent. And they will multiply with the existing exponents.

Q: Recall the arithmetic mean of two positive numbers a and b. Show that the value of c in the conclusi...

A: Consider the two positive number a and b and the function

Q: Evaluate the definite integral from 0 to 1 of dt/sqr(t^2-6t+13)

A: Given integral is

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. 14 f(x) х

A: Given function is

Q: f(x)=2x^3-(15x^2)-36x+7 on the interval [-6,9] By the Mean Value Theorem, we know there exists at...

A: Given function

Q: 16. Suppose that $50,000 from a retirement account is invested in a large cap stock fund. After 20 y...

A: Click to see the answer

Q: Help please

A: To determine whether the given series is converges or diverges.Consider the function

Q: What are the coordinates used to evaluate the following problem and how are they found?

A: Given that D is a region that lies below the sphere and above a cone.

Q: a) Why doesn’t the idea of “any number minus itself is 0” apply to the situation of ∞ − ∞? (b) Expla...

A: Refer to the questions , we need to give explanation to the provided questions of (a), (b) and (c).

Q: Evaluate the expression without using a calculator. cos T 6 6 sin TT

A: From unit circle cos(pi/6)= sqrt(3)/2 sin(pi/6)=1/2

Q: For the composite function, identify an inside function and an outside function and write the deriva...

A: The problem conerns applying chain rule by expressiong f(x) as a composite function f(x)=g(h(x)). We...

Q: Consider the helix r(t)=(cos(3t), sin(3t), 3t). Compute, at t=π/6 The unit normal vector N

A: The given vector of helix is,

Q: I need help with question 39 in Section 4.1, page 284, of the James Stewart Calculus Eighth Edition ...

A: At first let us find the derivative of the function:

Q: Find the derivative of the function. f(x) = ex x4

A: given:

Q: Consider the parametric equations below.x = t2 - 4y = 5 - 2t-3 ≤ t ≤ 4(a) Sketch the curve by using ...

A: Make a table of t,x,y. Pick random values for t between -3 to 4. Then find x and y for those ts.

Q: Given that the graph of f passes through the point (1,6) and that the slope of its tangent at (x, f(...

A: Given that the slope of the tangent at (x, f(x)) is 2x + 1.That is,

Q: A curve passes through the point (0,5) and has the property that the slope of the curve at every poi...

A: Slope of the curve is given by dy/dxdy/dx is twice the y coordinate. So, dy/dx=2y

Q: Optimization: You and your classmates have decided to enter an ice sculpting contest. Before you beg...

A: Given an ice block with the following conditions,