Question 19 9 Let the integral be 'solvable' using trigonometric substitution. What is the correct choice of u given S- +6x-7 u= x² +6x+9 u= x² +6x u= x+3 u= x +9 B D C dx?

Q: 2+3x-7) X-2 dx Evaluate the integral: Se A²+ +In|3x-6|+C Ⓡ 1/²/₁ 2²+5x+! In/x-21 +C B 3 x²+5x+In…

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Q: HW.1 X y 58 Find y. (10) for the following data in the below table. 6 9 14 17 10

A: We will use Lagrange's Interpolating polynomial to find y10.

Q: Find the slope of the line if it is defined Through (-6,-7) and (-1,12) Select the correct choice…

A: Given query is to find the slope of the line.

Q: X+2 Determine the case of the following proper rational function after simplification: (x2 -…

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Q: Evaluate the double integral: A 40 B 80 C 60 30 ²(3x² +9y²) dxdy

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Q: |x-4|dx

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Q: Evaluate the line integral, where C is the given curve. Lexy² ds, C is the right half of the circle…

A: Solution: I=∫cxy4ds

Q: A lighthouse is on an island 400 meters off shore. The lighthouse beam makes a full turn every 15…

A: First we diagram the problem, labeling the point A , the lighthouse beam as B and C as another…

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

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Q: antiderivatives does a function of the form f(x)=x" have when n*O? may vary depending on n How many…

A: Formula: Antiderivative of xn = xn+1/n+1

Q: y=1/x²₁ y = 8x₁ y=x/8

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Q: -x/3 Jx/4 cscxcotxdx

A: topic- definite integral

Q: Question 2 Solve the integral: A √√x 3 B 33√/ x² +C 3√x² +C 6 6√√x +C D √√ 3√x dx

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Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: The region bounded by line y = x - 1 and the curve y = (x - 1)3 is as below

Q: Please show work! The area of a rectangle is fixed at 60 square meters. The base is increasing at a…

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Q: tanx f f(x) = = [tion. A B C √1+1² 1+e' In (secx)√1+tan²x tanx 1+e sec²x 1+ e tanx sec ³x tanx 1+e…

A: Integration

Q: Solve the integral: 1 √√√√√x+x dx

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Q: What is the instantaneous rate of change of y=√√zat z=2? 0 ม O - O none of the above 0

A: The function is given by y = x To evaluate: The instantaneous rate of change of the function at x=2.

Q: Question 12 12/201 iven хр (A) {0,1} B (-∞,1] Ⓒ (-∞0,00) C (D) (1,∞0) -dx, determine all…

A: Topic:- application of integration

Q: Let g be a differentiable function, and let the range of g be an interval I. Suppose that f is a…

A: A option is correct.

Q: Question R is the region bounded by the functions f(x) = 2e - 2 and g(x)=x²-5. Find the area of the…

A: We have to find out area

Q: 1 1 11 f_²_f(x) dx = f(x) dx = 0 and f(x)dx [² f(x) dx = 1 1 ₁ 6' 1 0 [²3F(x) dx - √ 2P(x)dx -1 11 6…

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Q: 1. Write the explicit formula for the sequence. Then find the fifth term in the sequence. a₁ = 120,…

A: Considering the sequence to be geometric

Q: A balloon is released fromthe ground 100 meters from an observer.The balloon rises directly upward…

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Q: (2) secxtanxdx e definite integral by substitution: -21 1- (2) dx (3) [x√x-2dx

A: We have to find the value of the given definite integral according to the given information

Q: en [_²_f(x) dx = 0 and ² fl Given f(x) dx = 11 6 T evaluate √3f(x)dx- -S__2f(x)dx.

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Q: the integral: (u +3) du 1²5 -dx (3) √74³ cscxcotxdx

A: We have to find out integral

Q: x + 2 Determine the case of the following proper rational function after simplification: (x² – 4)(x³…

A: Ans: C

Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

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Q: x²+4x x-4 x²+3x-12 Evaluate the limit: lim

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Q: Evaluate the double integral: (A) 40 B 30 C) 60 D) 80 ²(3x² +9y²) dxdy

A: The integration are.  .

Q: Which of these expressions represents the area bounded by y = 1/2 x^2 and y = 3x? * 6x + x²dx 6x…

A: To solve the following problem

Q: хра (q

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Q: X √√x dx Solve the integral: (A) 3 B + C 6 с 6√√x +C D 3√√√x² +C

A: To integrate the following problem

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

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Q: y = 5 tan x³ + sec(3x)

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Q: Question 26 Determine the integral: x²cosxdx A x²sinx-2xcosx +2sinx + C B x²sinx + 2xcosx-2sinx + C…

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Q: Solve the integral: Seln(2x²+3x-4)²³ (4x + 3) dx (2x²+3x+4)4 (A) + C 4 B eln(2x²+3x-4)³ (4x+3)…

A: To solve the integral.

Q: sinh xte cosh x + e* In the indefinite Integral in(cosh x + e*)- (A) sinh x + ex sinh x tế B cosh x…

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Q: Solve the int B ²+3x-4)³ (4x+3)dx integral: Seln (2x² + 3 eln(2x²+3x-4)³ + C (2x²+3x-4) (-4)³² (4x +…

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Q: Question Find the volume of the solid whose base is a circle with radius 25 that has cross-sections…

A: Solution:

Q: Let one week's supply and demand functions for gasoline be given by p= D(q)-294-39 and p = S(a)= a,…

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Q: 2x* dx

A: Here is the solution

Q: 3 Evaluate the triple integral: (x+y+z)dydxdz A) 12 B) 24 с 6 (D) 18

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Q: If f(x) = (A) B - St √1+1² 1+e' 0 In (secx) √ 1+tan²x tanx 1+e 1+tan²x tanx D tanx 1+e sec ³x 1+…

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Q: A B 15 / = √=42+ = ²1 If S (x+1) dx (x+2)(x-1)² + x x-1 1 2 A - 93 2 B C (D) 1 -la - 93 -la I 2 3 2…

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Q: Find the value of x If f'(3) = 52? X 1 2 4 f(x) -2 8 x

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Q: Which of the following is NOT a method for finding volume of solids of revolution?

A: answer is in next step

Q: S sec (x-1) tan4 (x - 1)dx, which of the following equations will be useful for 1 + cos2u cos²u= 2…

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Q: dx S using miscellaneous substitution will yield to secx+1 z²+z 1-z² 1+z² 1-z² -z² 1+z² Transforming…

A: solution