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Calculus

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Q: Find all critical points of f(x) = 9x' – 27x – 31. (Use symbolic notation and fractions where needed...

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Q: The edge x of a cube is measured with an error of at most 0.1%. What is the maximun corresonding per...

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Q: Find the critical point and determine if the function is increasing or decreasing on the given inter...

A: We first find y' using the power rule

Q: convert the indefinite integral into definate integral using the interval [0,1]

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Q: i can t do this question

A: first use the formula of cube of sinx.

Q: convert the indefinite integral into definate integral using the interval [0,1]

A: (c)

Q: an implicitly de fined curve is gren below. 3x+4y²+3xy-24

A: Given In part (a) find the derivative of equation with respect to x. This is the required answer.

Q: The vectors below are adjacent sides of a parallelogram with area square root of 195 square units. D...

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Q: T/F (with justification) The function 1 −(1/x4)satisfies the hypotheses of Rolle’s Theorem on the in...

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Q: A spherical balloon is inflated with gas at a rate of 14 cubic feet per minute. How fast is the radi...

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Q: Select the correct parametrization of the following curve: The intersection of the plane y = 2 with ...

A: Find the relation between x and z from the equation of the plane y = 2 and the equation of the spher...

Q: Work integrals Given the force field F, find the work required to move an object on the given orient...

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Q: 2 | (t² + 3) cos(5t)dt 0.

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Q: need help about exercises

A: X2 = X02 +2X1 = 02 + 2 x 2 = 4 X3 = X12 +2X2 = 22 + 2 x 4 = 12 X4 = X22 +2X3 = 42 + 2 x 12 = 40 X5 =...

Q: Find the volume of the solid generated by revolving the region bounded by y=sqrt 1-x, x=0, and y=0 a...

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Q: y"' – 3y" + 4y = 6+80cos(2x)

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Q: Integrate ∫xcsc2xdx by parts.

A:

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

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Q: The equations for free fall atthe surfaces of Mars and Jupiter (s in meters, t in seconds) ares = 1....

A: The equation for free fall on Mars is

Q: This is the problem: Complete the given sentence. The closed-form function f(x) = 5 x2 − 9 ...

A: The denominator can never be 0

Q: A point is moving along the graph of a given function such that dx/dt is 3 centimeters per second. F...

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Q: Find a vector 5 units long in the direction opposite to the direction of v = (3/5)i + (4/5)k.

A: A vector in the opposite direction of v = (3/5)i + (4/5)k will be -v = -(3/5)i - (4/5)k.

Q: Consider the ellipse defined by the equation 81 = 1. What is the maximum area of a rectangle inscrib...

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Q: The intersection between the surface x + y + z = 4 and the circle x2 + y? = 16,z = 0 is Your answer:...

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Q: Two parameterizations Verify that fc (x – 2y + 3z) ds has the same value when C is given by r(t) = (...

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Q: Find the volume of the solid under the graph of the function f(x, y) = xy + 5 and above the region. ...

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Q: What is the value of ∇ ⋅ (∇ x F)?

A: If F= <f , g , h > then And

Q: Find f if f' (x) = 20x³ + 10x+7 and f(1) = -2. Answer: f(x) =

A: Given: Now, Using:

Q: Use a graph to estimate the critical numbers of f(x) =|x3 - 3x2 +2 |correct to one decimal place.

A: We graph f(x) =|x3 - 3x2 +2 | using a garphing calculator

Q: Find parametrization of the horizontal circle of radius 4 with center (5, -2, 6). r(t) = %3D

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Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and...

A: Given function is Differentiating with respect to t, we get

Q: A point is moving along the graph of a given function such that dx/dt is 6 centimeters per second. F...

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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: Use the Closed Interval Method to find the absolute maximum and minimum values of f on the given int...

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Q: Produce graphs of f that reveal all the importantaspects of the curve. Estimate the intervals of in...

A: The given function is

Q: Find a linear equation whose graph is the straight line with the given properties. Through (27, −2.8...

A: A general form of a straight line equation is given by, y = mx + c where, m is the slope of the line...

Q: Calculus Question

A: Let s, in centimeters ,be length of side of square and A , in square centimetes, be the area of the ...

Q: find dr/dθ r = sec θ csc θ

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Q: Consider the paraboloids S1 : x2+y2 - 2 and S2 : 8 - x2 - y2.

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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: Find the area of the parallelogram spanned by v = (1, 1, 1) and w = (0, 0, 2).

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Q: 3n Let sn = e 6" be the nth partial sum of an. Select all that apply n = 1 Your answer: Ean= e n = 1

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Q: Calculate the integral by interchanging the order of integration. 2, (x + 7e – 6) dx ) dy

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