Given the graph of f(x) below, find the graph of the derivative of f(x). Select the correct answer below: O O O O -4-3-2-1, 124 + +

Q: 7. Determine where fis discontinuous. Justify your answers. √=x if x < 0 3-x if 0<x<3 (3-x)² if x ≥…

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Q: 6. Let So f(x) dx = 12, 5 Calculate the following integrals. (a) [°*3f(x)dx = (b) *2f(x) – g(x)dx =…

A: Let To calculate the following: (c) If  is an odd  function, then to find .Note:  Since, the student…

Q: -10-9-8- -1⁰+ Given the graph of f(x) shown above, evaluate lim f(x). Select the correct answer…

A: The condition of the existence of limit at

Q: 2 sin(x) cos(x) + √3 sin(x) = 0 Find all angles in radians that satisfy the equation. For each…

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Q: Which of the following are solutions to the following integral. X 3x² - 12x □ Check ALL that apply…

A: The given integral is x/(3x2-12x).

Q: Use complex number operations to determine the solution to the expression below. The final solution…

A: To simplify the following expression.

Q: Given f(x)dx= 3 and 3 } pixkidk g(x)dx= -1, find 3 158x [5f(x)-2g(x)]dx. ...

A: Integral f(x) is equal to 3 limit from 3 to 12.Integral g(x) is equal to -1 limit from 3 to 12.

Q: Find y' 4x-5 y= 2x+3

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Q: I need to find whether a series converges and if so I need to find the sum. the series is: the sum…

A: the series is: the sum from k=1 to infinity of 1/(16k2 - 4)

Q: Find the center, foci, and vertices of the ellipse. Graph the equation. 4(x + 5)2 +8(y-2)² = 32 Find…

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Q: Find an antiderivative of the function g(t) = e-³t. An antiderivative is

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

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Q: Determine Ax and the midpoints of the subintervals formed by partitioning the given interval into n…

A: Determine Δx and the midpoints of the subintervals1≤x≤15;n=5

Q: Determine the integral using the substitution u = √√x+11. √(x +11) 1/2 √x+11 dx

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Q: Which of the following are solutions to the following differential equation. xy + y = x lnx;_y(1) =…

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Q: Find the intervals on which the graph off is concave upward, the intervals on which the graph off is…

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Q: Determine the integral by making the appropriate substitution. √9(x-1) 9(9x-10)' 'dx

A: To determine the following integral by making the appropriate substitution.

Q: 7. Use the Fundamental Theorem of Calculus, if possible, to evaluate the definite integral. a) f³…

A: The given integrals

Q: 5 -5 O 10 X

A: Given that the graph of the circlewe have to find the equation of the circle

Q: Find the length of the spiraling polar curve 40 = 4e46 From 0 to 27. r = The length is

A: The given curve .The aim is to find the length of the curve from  to .

Q: Use a familiar formula from geometry to find the area of the region described and then confirm using…

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Q: Evaluate the integral by making an appropriate change of variables. JJ₂² 7 cos(3 (y + x)) dA where R…

A: The given integral  where R is the trapezoidal region with vertices

Q: Given the graph of the function f(x) below, estimate the slope of the tangent line to the curve at x…

A: The graph of the function  is given as,Estimate the slope of the tangent line to the curve at

Q: Given that ß = 101°, y = 24°, c = 15. Which of the following equations solves for a? a) a = (15 sin…

A: Given that the triangle we have to find choose the correct option

Q: Describe the given set with a single equation or with a pair of equations. The plane through the…

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Q: The amount, A, of 159 grams of a certain radioactive material remaining after years can be found by…

A: Given that the amount A of 159 grams of a certain radioactive material remaining after t years is

Q: Solve the following problem and show your complete solutions. 3. Find the area bounded by y = x³ ; y…

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Q: Use complex number operations to determine the solution to the expression below. The final solution…

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Q: Calculate the Riemann sum R(S, P. C) for the function f(x) = x² + 8x, the partition P= {4,6,9, 12)…

A: Solution

Q: Find the area A of the region that is bounded between the curve f(x) and the curve g(x) sin (x) over…

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Q: Given the function f(x)=x-7, find the net signed area between f(x) and the x-axis over the interval…

A: Given that the function y=x-7 we have to find the area of the region [-1,9]

Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. 14 In (x¹4…

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Q: ate and classify all (by classifying the extrema, we mean listing whether locate any stationary…

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Q: Find the area of the region enclosed by the curves between their intersections. y=x² and y= 2x

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Q: Prove that the equation is an identity. (sin 0 - cos 0)² + 2 cos 0 sin 0 = 1 Working from the…

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Q: Question 1 (i) Determine dy/dx in the following: (ii) y = cos(x³ - 2x) y = x²-2 sin x y² −2(x+y)+x²…

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Q: Given f'(t) = -0.4t+e-2¹, compute f(5) – f(3).

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Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WO FOR BETTER…

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Q: To find an antiderivative of f(x) = arctan(3x) you used integration by parts, and obtained…

A: The integration by part formula is:                             ..(1)

Q: Suppose a dog jumps in the air and that its height (in feet) above the ground is given by h=-16t²…

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Q: Determine if the following function is continuous and differentiable at x = 0. ex - sin x f(x) = {…

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Q: 5 Find an antiderivative of the function g(z) = = 23 An antiderivative is

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Q: Given the definitions of f(x) and g(x) below, find the value of g(ƒ(8)). f(x) = X 11 g(x) = x² + 7x…

A: The given functions  and .The aim is to find the value of .

Q: Use the figures to calculate the left and right Riemann sums for f on the given interval and the…

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Q: Simplify the following. Always enter your answer in the most simplified form. (a) 2√5 +3√7+8√5-5√/7=…

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Q: As a preparation for the long bright summer days, Dr. Acula plans to store gourmet plasma in closed…

A: We have to use the concept of derivatives

Q: X = = 3 sin(t), y = 4 cos(t), 0 < t < 2π (a) Eliminate the parameter to find a Cartesian equation of…

A: Consider the parametric equation

Q: Find F as a function of x and evaluate it at x = 0, x = π/4, and x = π/2 8 de F(x) F(0) F(7) F(-/-)…

A: The given integral is .The aim is to find the values of .

Q: The time it takes an object to hit the ground, if air resistance is ignored, is a function only of…

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Q: Evaluate the following definite integral: [²22 (2² 1 2x (x² + 1)² dx Enter your answer as an exact…

A: Let