Consider the function f(x) Enter an antiderivative of f(x). Do not enter +c as part of your answer. Answer: = 6x⁹ +5x7 - 8x² – 5. +c

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Q: An object traveling in a straight line travels s(t) kilometers after t hours, where s(t) = 8t² + 5t.…

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Q: 6. Evaluate the limit: lim x+-5+ a. 25 b. 2.5 5x X+ 5* C. c. -25 -co d.

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Q: X -4 -2 0 2 4 36 6 10 0 -10 -6 ind h(f(g(0))) X ind k(3) if k(x) = . -3 -1 0 1 3 x²g(x). g(x) -7 -5…

A: f(-4)=6 f(-(-4))=f(4)=-6=-f(-4) same for other values of f(x) hence f(x) is odd function    g(x) is…

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Q: Differentiate. y' = y sec(0) tan(0)

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Q: = 1/₂ F² A region R is shown. Decide whether to use polar coordinates or rectangular coordinates and…

A: We have to find the integral.

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Q: Use logarithmic differentiation to find the derivative of the function. y = (tan(x)) 5/x y' =

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Q: (x)) = main of f(g(x)). (Enter your answer using interval notation.) (x)) main of g(f(x)). (Enter…

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Q: The Ninth Gate You arrive at the final gate, which leads into a building-like structure. You hope…

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Q: Consi ider the ellipse 4x² + 2xy + 5y² The derivative = d on this curve is

A: Given: 4x2+2xy+5y2=149

Q: Consider the function f(x) = 1−3x², -3 ≤ x ≤ 1. Use the derivatives to algebraically answer the…

A: Given, As per given question we need to find the extreme points of the function fx=1-3x2 on the…

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A: Solution: f(x)=4x2-x3, (1,3)

Q: After an antibiotic tablet is taken, the concentration of the antibiotic in the bloodstream is…

A: The concentration of the antibiotic in the bloodstream is modeled by the function C(t) = 6(e−0.4t −…

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: Given function f( x ) = 36-x2

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: A function y=f(x) is said to be increasing in the interval (a,b) if for every x∈(a,b), f'(x)>0.…

Q: Identify the open intervals on which the function y=9x-18 cosx, 0<x<2pi is increasing or decreasing.

A: A function y=f(x) is said to be increasing in an interval a,b if for everyx∈ a,b, dydx=f'(x)&gt;0.…

Q: If a rock is thrown vertically upward from the surface of Mars with velocity of 20 m/s, its height…

A: We have to find the velocity.

Q: Find and classify the critical points of z= (a²-8x) (y² – 4y) Local maximums: Local minimums: Saddle…

A: The given function is;  z=(x2-8x) (y2-4y).

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Q: Locate all the critical points of the function f(x,y)=8x−x^2−4xy^2.

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Q: Find an equation of the tangent line to the graph of the given function at the specified point. f(x)…

A: Consider the given function. fx=5excos x

Q: Given the geometric sequence: 19, Find an explicit formula for an. an Find a7 = 190 3 1900 9

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Q: 1 e) lim (-—-—-₂--²-4) x-3x-2

A: M=limx→3(1x-2-4x2-4)

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Q: K For the following demand function, find a. E, and b. the values of q (if any) at which total…

A: Given p = 700e-0.2q

Q: X x+3 3x-1 Evaluate the limit, if it exists: lim a. 0 b. undefined C. co|w d. 1

A: Given : limx→3  x3x-1 To find: The value of given limit

Q: Solve the differential equation. 2xy + 4x + (x² - 4) dy = 0 dx

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Q: 2. When a particle is located a distance x meter from the origin, a force of f(x) = 3x² + 4x…

A: When a particle is located at distance x meter from the origin, a force of  fx=3x2+4x newtons acts…

Q: Consider the ellipse 4x² + 2xy + 2y² = 88. (a) The derivative on this curve is dr dy = dx (b) Find…

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Q: Each of the limits below represent a piece of the passcode that you must enter to proceed. The…

A: We have to find the limits to get the passcode.

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

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Q: Solve the equation for x given that 1 ≤ x ≤ 8: ln x = sin x, using 5 iterations of Newton's method.

A: To find the solution of the following equation ln x = sinx by using Newton's method For the…

Q: "This passcode consists of the two below limits which include an Remember to type "infinity" for 0,…

A: For x approaching c from the left, x&lt;c  ⇒  x-c5&lt;0The denominator is a negative  approaching…

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Q: Find the limit lim x (tan x) cos(x)

A: L'Hospitals Rule:

Q: ← Give integers p and q such that Nul A is a subspace of RP and Col A is a subspace of Rª. A = 1 245…

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Q: 98. Determine whether the vectors AB and PQ are B(-2, 2, 0), where A(1, 4, 1), equivalent, P(2, 5,…

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Q: cos* xdx

A: To evaluate the following integral. ∫cos4x dx

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: c) lim x³+1 X-2x+1

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Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

A: I have appended the formula used in the solution part of the question

Q: Consider the ellipse 9x² + 64y² = 576. Consider the point P(16,3). Find an equation for both lines…

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Q: As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you lies an…

A: Here is the solution:

Q: Solve the differential equation. 2xy + 4x + (x² − 4) d (x² - 4) dy = 0 dx Mangle METALT TANG

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Q: Find the linearization of the following function, at theta = pi/4  f(theta) = sin(theta) cos(theta)

A: The given function fθ=sinθ cosθ. We have to find the linearization of the function at θ=π4.

Q: The Map As you walk through Gate 4, you realize that Gate 5 is nowhere to be found. In front of you…

A: Given f( x ) is continuous in the given domain If a function is continuois at x = a then limx→a-f( x…