7. For the iterated integral sketch the region of integration. [*[ f(x,y) dx dy

Q: Find the slope of the curve to: 4 where x=2 - 2x³ 3x² + 5x + 9 at the point

A: Let,

Q: 3. Sketch the region bounded by the curves. Find the exact coordinates of the centroid. Show all…

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Q: Use the four-step definition of the derivative to find f'(x) if f (x) = −4x² - 7x + 16. f (x + h) =…

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Q: 2. Provide the general set up to find the surface area of the surface obtained by rotating the curve…

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Q: On a grid (x-y plane), a road is designed have a curve defined by f(x) = x² + 2 for 0 ≤ x ≤. Find…

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Q: A solid is formed by adjoining two hemispheres to the ends of a right circular cylinder. The total…

A: The total volume of solid is 28 cubic centimetres.

Q: Packaging Costs A rectangular box is to have a square base and a volume of 60 ft3. The material for…

A: A rectangular box is to have a square base and a volume of 60 ft³. The material for the base costs…

Q: 2. For this pro Jo Useful fact: the function et does not have an easy-to-write-down antiderivative,…

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Q: Find any critical numbers of the function f(x) = (5x (5x - 4)e-3x Enter your answer(s) as a fraction…

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Q: Find the ƒ (x) = 2²x+5 ƒ'(x) = derivative of f (x):

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Q: Let r(t) = (et, et sin t, et cos t).  Find the equation of the plane that is normal to the curve at…

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Q: The position function of a particular particle is given by f(t) -t³ + 3t + 4. Assume that it is…

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Q: In each part, complete the table and make a conjecture about the value of the limit indicated.…

A: Since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: Find the linearization L(x, y, z) of the f(x, y, z) = 6(x3 + y3 + z3)1/2 at the point (1, 2, 3).

A: f(x, y, z) = 6(x3 + y3 + z3)1/2We have to find linearization L(x,y,z) of f(x,y,z) at point (1,2,3)

Q: can you do the same but given that X(t) = 0.03 for 0 < t< 5 and X(t) = 0.08 for t ≥ 5 and payment…

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Q: Complete the following. f(x) = 3x² - 7x + 25-24 at x = 4 (a) Find the derivative of the function and…

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Q: The liquid base of an ice cream has an initial temperature of 93°C before it is placed in a freezer…

A: By Newton's cooling law k=Proportionality constant surrounding temperature temperature of an object…

Q: To find the inverse of the function  f(x) = −5x − 6  we first replace  f(x)  with y. f(x)  =  −5x −…

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Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: We have to find the volume of solid.

Q: Find the length of the curve r(t) = (2t3/2, cos 3t, sin 3t) from 0 to 3.

A: To find the length of the curve  from 0 to 3.

Q: Use derivative rules to differentiate the function. Perform reasonable simplifications. g(y) cos…

A: given the function isg(y)=cos(5y4 )+7e-7y&amp;nbsp;we know that by the formulai.…

Q: 3e" - 3x² +5, find f'(x).

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: Find the derivative of f(x)=ex^2sin(ln(x))

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Q: 1. Let and let g(x) = f(x)= f(t) dt. x² -1 ≤ x ≤1, 1 < x < 3, 3≤x≤ 5, ·1² f Write down a piesewise…

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Q: Find the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

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Q: Decide whether the integral is improper. Lo str sin(x) dx -∞ 4 + x² proper O improper Explain your…

A: The given integral is improper. The improper integral has either one or both the limits infinite Or…

Q: The graph below is the function f(x) 3 2 1 -5 -4 -3 -2 -1 1 2 3 4 5 Determine which one of the…

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Q: Solve the following logarithmic equation. In addition, use a calculator to approximate the solution.…

A: lny=5

Q: Find the average height of the paraboloid z = x² + y² over the square 0 ≤x≤2, 0≤y≤ The average…

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Q: find initial value for the following transform X (+) = t" - 6+² +9t -8 4 t (t-2) (t ³+2t²-t-2) 3

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Q: Determine the radius of convergence: (a) Σ(2η n=0 (2n + 1)(2x)²n.

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Find the equation of the tangent line 7 to the graph of f(x)= 7 sinx at the given point (3,7sin3).…

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Q: Set up, but do not evaluate, an integral for the area of the surface obtained by rotating the curve…

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Q: Use derivative rules to differentiate the function. Perform reasonable simplifications. f(y) = tan…

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Q: The radius of a spherical balloon is measured to be 7 inches,

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Q: 4. A coffee shop currently sells 480 lattes a day at $3.00 each. They recently tried raising the…

A: Given that coffee shop sells 480 lattes a day at $3.00.As given let x= number of $0.60 increase in…

Q: A student takes the derivative of the function h(x) = (x² + sin (x) )(1 − cos (x)) as follows: h'(x)…

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Q: Solve 3x³ + 2x²-412-60 < 0 A Y J I

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Q: 91. Tangent lines Determine an equation of the line tangent to the graph of y = (0, -1). (x²-1)…

A: Given,

Q: 81. {Use of Tech} Mass of juvenile desert tortoises A study conducted at the University of New…

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Q: f(w) = cos (sin ¹2w) -

A: The given function .The aim is to find the derivative of the function.

Q: Find the derivative of f(x)=(ln(g(x)))2

A: f(x)=(ln(g(x)))2

Q: With data from the Social Security Trustees Report for selected years from 1950 and projected to…

A: The Average of a continuous function y=f(x) over an interval [a,b] is :

Q: The function f: R → R defined by f(x) = 1x2 + 2x - 24| x+6 x = -6 0 x = -6 has a discontinuity at…

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Q: Find the length of the curve a = 3y from y = 0 to y = 5. Round your answer to four decimal places.

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Q: The following table records some values of the functions f and g. T 2 3 4 5 0 1 f(x) 1 0 3 10 21 36…

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Q: Find Proof for Derivative Formula f'Q) = lim f(x tb) - f(x) h

A: The objective of the question is to describe the definition of derivative.

Q: Solve the initial value problem 2yy' + 4 = y² + 4x with y(0) = 7. a. To solve this, we should use…

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Q: Let f(x)=  x+2/1-x •Show that the function is one to one  • Find d f^−1(x)/dx at x=1/2 without…

A: Here we will first check that the given function is one to one or not that is if one to one then…