Let x3+tan y=10. If x increases, then y: O always decreases O is constant always increases

Q: Determine all of the relative extreme values of the function f (x) =1–(r– 2)²

A: Given,         The relative extreme values of the function fx=1-x-22

Q: let x represent the first number, y the second number, and z the third number. Use the given followi...

A: First frame the equation using the given statements. "The sum of three numbers is 16". x+ y+ z=16 …....

Q: X+3 44 dt at x= 5. 3+t 8. Find the linearization of f(x) = 5-| x+3 The linearization of f(x) = 5- 44...

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Q: If g(x) = [ √(x - 3) if x≥3 or 3 - x if x < 3] , find g(-1) and g(7).

A: Guven function with intervals --g(x) = x-3    when  x≥3                   ...................(1)g(x)...

Q: Solve and graph following problems: By Differential Calculus 1. A curve has an equation y = x³ – 3x2...

A: Given,         The equation of tangent and normal lines at 1,-4 and the curve has an          equati...

Q: Consider the piecewise-defined function Ax if x 0 h(x) е (a) Give values for A and B so that h(x) i...

A: Given Data: Function: hx=Axif x≤0e-1/x+Bif x>0 (a) The condition for the continuous function is, ...

Q: Let f"(t) = /t – 2 cos t. Determine a general f(t). -

A: Given : f'''t = t - 2cost

Q: Sketch the region enclosed by y = 7x and y = 4x2. Find the area of the region

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Q: Explain how to write a vector in terms of its magnitude and direction.

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Q: 10- 6- -10 -8 +6 10 8- Identify where f' (x) < 0 given the graph of f(x) in the figure. Select the c...

A: Considering graph of f(x)  For f'(x) to be negative slope of Given function should be negative  In t...

Q: MATHEMATICAL INDUCTION Kindly indicate all the necessary solutions.Exercise 3.2: Prove the following...

A: Any positive integer is of the form 2m or 2m + 1, where m is some integerWhen n = 2m, n²+n=(2m)²+2m ...

Q: 1. Consider the parametric curves. (a) Determine dy/dx in terms of t and evaluate it at the given va...

A: Consider the parametric curves  a)     x=cost,y=8sint,     t=π/2b)     x=t,y=2t,              t=4  

Q: The volume of a sphere with radius rr is given by the formula V=4/3πr3Find the volume of a sphere wi...

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Q: The cost of producing x smart phones is C(x) = x2 + 600x+ 4000. (a) Use C(x) to find the average cos...

A: Given,         The cost of producing x smart phones is Cx=x2+600x+4000.

Q: Resolver the integral

A: Given integral is ∫dxx3x+1

Q: Let G(u, v) (2u + v, 9u + 2v) be a map from the uv-plane to the xy-plane. Describe the image of the ...

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Q: In Exercises 5-40, determine whether the improper integral convergesand, if so, evaluate it.

A: Given information: ∫36xx-3dx

Q: In Exercises 47-60, solve the initial value problem.

A: Given: The initial value problem dydt=e-t, y0=0 To determine: The solution of given initial value pr...

Q: Need to use substitution for the problem. Please show steps on how to find results. TY.

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Q: Which expression below can be obtained from 6cos40 by using a power reducing formula? Select the cor...

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Q: Describe the behavior of f(2) = (x– 3)* for all values of x. O f(x) is increasing when x 3. O f (x)...

A: Given Data: Function: f(x)=(x-3)3 The first derivative of the function with respect to x is, f'x=3x-...

Q: Simplify or perform the indicated operation (and simplify, if possible), whichever is appropriate : ...

A: 4√50 - 3√18 = ?

Q: Find the average value of the function over the given interval and all values of x in the interval f...

A: Given: fx=x3 , 0, 2 To determine: Average value of the function over the given interval &amp; all va...

Q: The volume of a cylinder with radius rr and height hh is given by the formula V=πr2hFind the volume ...

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Q: A barn is 100 feet long and 40 feet wide (see figure). A cross section of the roof is the inverted c...

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Q: Find the differential dy of the given function: y=sin2x-4x

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Q: Let f(x) = x - 5 and g(x) = x2 - 1. Find the function: (f/g)(x).

A: Given:fx=x-5gx=x2-1fgx=?fgx=fxgx

Q: area under the graph

A: Note: Here we are solving part 1st for the next part please submit it again. Given: f(x)=e-x from x=...

Q: The function f(t) gives the speed of a car in miles per hour, t hours into a journey. Give a single ...

A: distance = speed x time the derivative of speed wrt time is acceleration. i.e.,                   ...

Q: Integration techniques Use the methods introduced evaluate the following integrals.

A: Given,∫01dyy+1y2+1 Let I=∫01dyy+1y2+1 Here we use Partial fraction decomposition, Take  1y+1y2+1=Ay+...

Q: Q6) Find the area of the region R enclosed by the curves y = x² - 2x and the х — ахis.

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Q: Use Newton’s method to estimate the two zeros of the function ƒ(x) = 2x - x2 + 1. Start with x0 = 0 ...

A: Given :           fx=2x-x2+1  

Q: I need help with this question.

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Q: Evaluate the definite integral. (x - 3)(x - 5) dx

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Q: Please show. all the work including the test your using.

A: Ratio test: Let an be a sequence of positive real numbers and limn→∞an+1an=l then 1. The series ∑n=1...

Q: Use linear approximation to approximate v64.1 as follows. Let f(x) = Vx. The equation of the tangent...

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Q: f(x) = + 42? – + 4x2 252x + 7 Given the function above, use the First Derivative Test to find the lo...

A: Given:        f(x)=43x3+4x2−252x+7

Q: I need some help on my homework

A: fdv ffddf

Q: Show that, for all positive values of x and y, etty > e? ху

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Q: Need help to solve equation for volume for cylinderical.

A: We first sketch the region using a graphing calculator   The shaded region rotates about the black ...

Q: Use newtons method to find the fourth root of 26 by solving x4 - 26 = 0. If x0 = 2, find x2 (in frac...

A: Given: x4-26=0 And x0=2 To find: The fourth root using the newtons method.  

Q: 10. b. Use Part 2 of the Fundamental Theorem of Calculus to evaluate the definite integrals. Show al...

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Q: Please solve this question with step. Thank you... P=4

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Q: Maximize where x and y are positive numbers.

A:   Given = x and y are positive numbers such that x+y2=7   we have to maximize  B=2xy2   We have   x+...