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Q: Find the length of the curve. r(t) = (3t, 3 cos(t), 3 sin(t)), -3 sts 3 %3D

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Q: How do you find the angle between two intersecting planes?

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Q: 6

A: We take limit n approaches infinity.

Q: 6x2 + 48x + 96 f(x) = 5x2 + 5x – 60 Separate multiple answers by commas. Enter DNE if an asymptote d...

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function F(x) = 2X3 -...

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Q: Find the area of the region bounded by y=-x^2+3x+1 and y=-x+1

A: Please see the diagram below to understand what's going on:

Q: The figure below shows the graph of a rational function f. It has vertical asymptotes x=-2 and x=3, ...

A: Vertical asymptotes make the zeros of denominator. x-intercept makes the zero of numerator. horizont...

Q: 5. Find the derivative of h(x) = cos(sin(cosx)).

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Q: This question has several parts that must be completed sequentially. The following table shows tot...

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Q: Find the point on the line 6x + 2y –1 = 0 which is closest to the point (-7, –7).

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Q: 1) Describe the purpose of finding the first and second derivatives to sketch a graph of functions. ...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Calculate the average rate of change of the given function over the given interval. Where appropriat...

A: Given Interval: [2, 6]

Q: f(x) = x3 – 4.5x? – 12x +2 a) Determine the intervals on which f is concave up and concave down. f i...

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Q: Find the trace of the plane in the given coordinate plane. Зх — 9у + 82 %3D7, yz

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Q: Let 4x2 -1 y : tan | dy then dx

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Q: 2ху + 6х?у — 1 y = 1-x2 — 2х3

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Q: Maximum Profit A corporation manufactures digital cameras at two locations. The cost of producing x,...

A: Given: Cost of producing x1 units Cost of producing x2 units Profit function is

Q: Calculus Question

A: Given function

Q: Evaluate the indefinite integral: dx С.

A: First, we write the expression using exponents

Q: Express the number as a ratio of integers. 3.814%= 3,814814814

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Q: Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (5...

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Q: A Norman window has the shape of a rectangle with a semi-circle on top; diameter of the semicircle e...

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Q: 2. Find a value of k so that the following function is continuous at x = 1. f(x)={ x-1 x<1 2kx, x21

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Q: Find all the x-values at which the critical points occur of the function f(x) = 5x³ – 16x2 + 11x on ...

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Q: Find the volumes of the solids Find the volume of the solid generated by revolving the regionbounded...

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Q: Compute the integral ∫x2exdx.

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Q: 2 Find the critical points of the function f(x) = x³ + x² + 40x + 2. Use the First Derivative Test t...

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Q: Find the solution of the following system of differential equation: x' = -x +y - 8 y' = 3x + y – 4t

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Q: A company is increasing the production of a product at the rate of 20 units per week. The demand and...

A: Demand function is Revenue function is Now, cost function is Therefore, profit function is evalua...

Q: Calculus Question

A: First, we expand the given expression using properties of logarithm

Q: Not sure how to find the rate of change answer.

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Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded by the ...

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Q: -1 The integral (9x2 + 18x +9)dx is approximated by the following left endpoint Riemann sum (each te...

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Q: The radius r of a sphere is increasing at a rate of 6 inches per minute. (a) Find the rate of change...

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Q: A rancher raises chickens and pigs on his 500–acre ranch. Each chicken requires 1 acres of land and ...

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Q: 3 can you help with a-c subparts

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Q: Find the normal lines to the curve xy + 2x - y = 0 that are parallel to the line 2x + y = 0.

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Q: |Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answe...

A: The given sequence is

Q: Income Tax In a certain country the tax on incomes less than or equal to €20,000 is 10%. For incomes...

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Q: A spnencal balloonI Is being inliated al a constant rate of 20 cubic inches per sect How last is the...

A: Definition used – Related rate problem - These problems combine word problems together with Implic...

Q: Find the derivative of y with respect to x. 2x + 3 26) y = sec-1

A: Let, z=(2x+3)/5 We differentiate using the chain rule

Q: 1 (j) dx x² – 1 |

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Q: Find all points c satisfying the conclusion of the MVT for the given function and interval. y = -/3 ...

A:

Q: Use the fundamental identities to find the value of the trigonometric function. find sin theta given...

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Q: find the definate integral of the following please help me with G and H

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Q: 7

A:

Q: A wheel is rotating 720 times per minute. Through how many degrees does a point on the edge of the w...

A: 1 minute= 60 seconds So in 60 seconds the wheel rotates 720 times So, in 1 second it rotates 720/6...

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface are...

A: Let s ,in centimeters, be the length of edge of cube . All edges of a cube are expanding at a rate ...

Q: 34) The volume of a rectangular box with a square base remains constant at 1200 cm3 as the area of t...

A: Let the length of each side of the base= x Height = y time=t Area of the base= A= x2 So, volume=Ay...

Q: ketch the graphs of the functions f and g. 1 f(x) = V,g(x): - 4 10 10 8 6 y y 4 4 -10 -5 10 -10 -5 1...

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Transcribed Image Text

Solve the problem. 35) Estimate the volume of material in a cylindrical shell with height 28 in., radius 6 in., and shell thickness 0.4 in. (Use 3.14 for .)