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

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

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Q: The domain of f(x, y) is the xy-plane, and values of f are given in the table below. Find fe grad…

A: To find the line integral of a scalar field f(x,y) over a curve C, the general formula is:Segra…

Q: d. y = 2x+1 x²-4 5x+1 e. y = 2√x-1 f. y = sin x ln x-1 x²+1/

A: To find the derivative of the following functions.

Q: Find ∫∫R x^2dA where R={(x,y)∣9x^2+4y^2≤36

A: To find the double integral , where R is the region defined by  ythe ellipse defined by The…

Q: 6. Find the equation of the line tangent to the following functions ate the given points. a. y = x²…

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Q: To check for the result, you have to prove that + C] = 8⁹. + sec²0. d 1 10 de Evaluate the left side…

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Q: Approximate the critical numbers of the function on the open interval shown in the graph. Determine…

A: The objective of the question is to identify the critical numbers of the function and determine the…

Q: The function y(x) saifies the following equation: Find an expression for dy dx 5 x² + 3xy +…

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Q: At time t, the position of a body moving along the s-axis is s=13-1512+72t m. Find the body's…

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Q: X 1+x (a) If Q is the point (x,x/(1+x)), use your calculator to find the slope of the secant line PQ…

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

Q: 8. Find the local maximum and minimum values and saddle point(s) of the function ● • f(x, y) =…

A: As per the company's guidelines, we are supposed to answer the first question for you, Kindly repost…

Q: Find the area of the region between the curve and the x-axis. 2 f(x)= x(x² -26), from - 5 to 5.

A: The region is bounded by curve  and x-axis from

Q: (3, 7/7). 2 Plot the point whose polar coordinates are (3,

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Q: A cup of coffee has cooled from 98°C to 50°C after 10 minutes in a room at 25°C. How long will it…

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Q: 9. In the following exercise: i. Identify the function's local extreme values in the given domain,…

A: As per the company's guidelines, we are supposed to solve the first three sub-parts for you, Kindly…

Q: Find the integral. Use C for the constant of integration. | (x² (y² + 3)² dy

A: The objective of the question is to find the integral of the given function with respect to y. The…

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

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Q: Use the Comparison Test to determine the convergence of the following series. n=1 n sin² n n³ + 1

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Q: Use the Ratio Test to determine the convergence of the following series. 8 Σ(-1)n+1 n=1 5 nn n!

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Q: 3. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given…

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Q: Convert the following equation to polar coordinates. x=2y² The polar form of x = 2v² is. (Type an…

A: Given,

Q: 2. Given the graph as shown, find the limits. lim f(x)= x → -2- A) B) D) E) lim f(x)= x-2 lim f(x)=…

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

Q: Given the parametric equations Compute the derivative dy/dx as a function of t. -t³, y = 6-3t x =…

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Q: Suppose f(1) = 2, ƒ'(1) = 3, ƒ (2) = 1, ƒ'(2) = 4, and g(1) = 3,g'(1) = 5,g(2) = 1,g′(2) = 4. If…

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Q: Consider the triangle below. Click on the picture to see it more clearly. If a = 8, the angle C =…

A: The given triangle has measures .The aim is to find the remaining meausres .

Q: For the function f(x)=x^3 - 3x^2 - 9x A. Find the critical points of f(x) B. Where is the function…

A: As per the company's guidelines, we are supposed to answer the first three sub-parts for you, Kindly…

Q: Determine the moment of inertia of the area about the x axis. ' 2 in. 4y=x² T 1 in. X

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Q: Find all exact solutions on the interval 0 ≤ 0 < 360°. If there is more than one answer, enter them…

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Q: 8. Evaluate the definite integral. a. 6 e² + 18 e² + 18z dz

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

Q: Sketch the graph of the function shown below. From the graph, find its domain and range. |xif -3<x<0…

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Q: sinh(x) = 314

A: sinh⁡(x)=34sinh⁡x=12(ex−e−x)

Q: Use the table of values to find lower and upper estimates of 10 [to f(x) dx. Assume that f is a…

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Q: For answer in part "E", is the answer 1/2 ln| sqrt(x^2+4/x^2) - 2/x |+C or 1/2 ln| sqrt(x^2+4) / x^2…

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Q: 1. Solve the system of equations 7₁-272 +373 2₁-22 +22 271-72 +373 b₁. b₂. ba

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Q: Given f(x) = -√√/16 - x is concave up on its domain, what is an estimate for f (4.9) using the local…

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Q: 5. Find two antiderivatives of f(x) = x0.8 - 3e²¹ + π cos(2x)

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Q: 8. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval [0, π/2], are…

A: The given functions are the inner product of two functions f and g on the interval [a, b] is the…

Q: Find the domain of f(x). ƒ(x) = √√x² − x − 12 Answer Attempt 1 out of 2 Answer Type: Interval…

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Q: Find the integral. Use C for the constant of integration. | cv² (y² + 3)² dy

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

A: The given equation is

Q: Evaluate ∫∫∫E 1/(x^2+y^2+z^2 )dV where E lines between the spheres x^2+y^2+z^2=4 and x^2+y^2+z^2=16…

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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: 1 if x > 0 - 1 if x < 0 c. Find the domain and range of f. Let f(x) = .a. Find f(-16) and f(14). b.…

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Q: tinues to grow for a while, but then stops growing and begins to decline. The +124t-12312. Find the…

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Q: 9. Let f(x) = sinx, g(x) = cos x. The functions f and g, considered on the interval 0, π], are…

A: Given that the function are

Q: 9. Linda's Bakery sells three kinds of cookies: chocolate chip cookies at 15 cents each, oatmeal…

A: We use the concept of linear equations to solve the given problem.

Q: Solve the following problem and show your complete solutions. 1. Find the area bounded by x = y²; x…

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Q: Solve the following initial value problem. dr dy = x3 / x5, y(0) = 0 y =ㅁ

A: To solve the following initial value problem.

Q: Find the sum of the series: n=3 3n+2 57-3

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Q: Let g(x) = f(t)dt, where f is the function whose graph is shown. y f 20 (a) Evaluate g(0), g(4),…

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