Find the absolute extrema of each function for the given interval: ƒ (x) = x² + 1 on [1, 3]. Show all work.

Q: f(x) = x² - 12x + 20 2x - 4

A: f(x)=x2−12x+202x−4

Q: 3. Evaluate x³ + x 4. Find the area of the region in the polar coordinate system that is enclosed by…

A: Note:-As per your demand we solve question 4 for you.Given that the regioon bounde in the polar…

Q: Find all x-intercepts of the following function. Write your answer or answers as coordinate points.…

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Q: Write the differential formula that estimates the given change in volume or surface. Then, use the…

A: We have given, for a right circular cylinder,the lateral surface area= to find-We have to find the…

Q: Find the integral. √(3x² - 6x+5) dx (3x² - 6x + 5) dx =

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Q: Evaluate fay'da + x³dy, where C' is the rectangle with vertices (0,0), (4,0), (4,1), and (0,1).…

A: The Green's theorem:

Q: Solve the following problem and show your complete solutions. Explain your answer for better…

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Q: Find the indefinite integral. (Use C for the constant of integration.) /(- 800 (0.04p - 1)3) Now…

A: To solve:

Q: Let f be a function such that f (3) < 4 < f (5). Which of the following statements provides…

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Q: o Center Financial Aid Student Accounts Resources estion 1 wer saved ints out of 00 Flag uestion…

A: The objective of the question is to calculate the food cost percentage for the first part and to…

Q: A B D g(x) Let g be the function defined above, where k is a constant. For what value of k is g…

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Q: A graph is defined by the equation 3x²-√√2xy + y² =3. Part A: Find dy dx Part B: Find the equation…

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Q: T 12.Given h(x)=xinx find the equation of the tangent line at x == 2

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Q: Use the graph of g in the figure to find the following values, if they exist. a. g(0) b. lim g(x).…

A: We will find the limits of the given function using the graph.

Q: For each problem, approximate the area under the curve over the given interval using 4 right…

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Q: 6. Sketch a graph of the pair of parametric equations. Mark the direction of the graph by using…

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Q: Find the volume of the smaller region cut from the solid sphere p<= 8 by the plane z=4

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Q: Use a change of variables or the table to evaluate the following indefinite integral. √x³ (x²-5) d…

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Q: Consider the figure below. y 2 (1,1) a 2 (a) Find the length of each side of the right triangle. 4 6…

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Q: Graph the lines 2x + 4 = 0 and 2x + 5y = −15

A: To draw the graph of the lines .

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: elf" (x) Find the maximum value of f(x)=√1+x² [0,2] on the indicated interval.

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Q: What is dy of x = cos(v)? dx O sin(y) O-sec(y) O-csc(y) O tan(y)

A: Given,.

Q: Find a function f that satisfies the conditions. f"(x) = x-3/2₁ f'(1) = 7, f(x) = f(4) = -2

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Q: Evaluate. (Assume x>0.) Check by differentiating. √x² In x dx Sx √x² In x dx = [

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Q: Let / be a function defined for t≥ 0. Then the integral (RD)) = f* e-str(t) dt е is said to be the…

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Q: Find and Graph vertical traces Find the vertical trace of the function f(x, y) = −x + y² for x = 0.…

A: The given function is

Q: Find the integral. √ ³√x¹¹ dx 3 11 √ ³√x¹¹ dx= 11

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Q: (c) Evaluate the integral SSS f(x, f(x,y,z)dV where f(x,y,z)=7x+3y and E is the rectangular box…

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Q: Find the radius of curvature of 6y=x3 at the point (2,43).

A: To find the radius of curvature of  at the point .Note: We observe that, there is a typing error in…

Q: Suppose Then 6 Sº f(x f(x) dx 10 [₁ f(x) f(x) dx = A 5 and 10 [ f(x) 6 f(x) dx = 7.

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Q: evaluate the integral dx 8+2x-X² S

A: The given integral is 1/sqrt(8+2x-x2)

Q: Consider the solid created by rotating the region under y = 1/x for 1 ≤ x <∞o about the x-axis.

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Q: Calculate Duf(-1, -2, -4) in the direction of 7 = i-37 + 37 for the function f(x, y, z) = 3x² + xy +…

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Q: Consider the parametric equations below. x = t2 − 2,    y = t + 3,    −3 ≤ t ≤ 3   Eliminate the…

A: Given,

Q: Find the curl of the vector field F = (2y cos(x), 7x sin(y)). curl F-

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Q: Problem (g. f) (1) r|1|5|8| 12 f(x)|-2|8|2|12 x|5|2|1|3 g(x) |1|5|5|8 <TD

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Q: Find the area of the region that lies above the x-axis, below the curve x = 0 ≤ t ≤ 1. Give your…

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Q: given below. Check your answer by differentiating. er. +C

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Q: 3. Suppose f'(x) is a differentiable decreasing function for all x. In each case, determine which…

A: The objective of the question is to determine which quantity is larger in each of the given cases.…

Q: For the polynomial function f(x) = (3x² + 5)² (x² + 7), answer the following questions. (a) List…

A: Part (d):Given: To Find: To determine the end behavior; that is, to find the power function that the…

Q: Find the divergence of the field. F=2ye¹xyz1+2zexyz + 2ye7xyzk

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Q: Find the area of the region enclosed by x = y² and x + y = 2 3 2 0 2 13 من

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Q: 2 6 [₁² ( 4x² + $/2 ) dx = x²

A: I=∫12(4x2+6x2)dxUsing the Power Rule∫xndx=xn+1n+1+C

Q: Let t be time in seconds. The velocity function (in metres per second) is given by v(t) = 9t – 15…

A: Given Velocity is as follows

Q: Current Attempt in Progress Evaluate the integral using an appropriate substitution. NOTE: Enter the…

A: The given integral is x3+5)3

Q: What is the inverse Laplace transform of the function: S-3 s²-2s+10 O O 5 2e cos3t+-e'sin3t e'sin 31…

A: To find the inverse Laplace transform of the following function.

Q: 12. Isolate X. Answer with this structure: 0<x<1 7 itanu 6 <8-X < 20 lu

A: 6&lt;8-x&lt;20

Q: Find the derivative of the function. y = [x + (x + sin²(x))51³ y' =

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Q: Find all holes of the following function. If a hole exists, write your answer as a coordinate point…

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