Evaluate tan" (x) sec²x dx m 1 1 n (m + 2)(x) + tan -tan" (x) + C m+2 m 1 -tan (m + 1)(x) — . m+1 m-1 1 -tan (m + 1)(x) + m+1 1 a (m + 3)(x) + m+3 - -tan -tan (m-1)(x) + C -tan (m-1)(x) + C -tan (m + 1)(x) + C 1 m+1

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: 19

A: We will solve the problem

Q: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

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Q: 12

A: We will solve the problem.

Q: Solve using Euler's Method dy dx sin(x+y) ex,y (0)-4, h-0.1 -

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Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2-4x about y=4 is to…

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Q: Evaluate Stan" (x) sec¹x dx 1 A m+1 I m+3 B 1 -tan (m + 1)(x) +- m-1 1 -tan (m + 3)(x) + m+1 -tan…

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Q: In this problem, you are asked to carefully read Example 6.4.2 of APEX Calculus. 1 The given…

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Q: 3x5 3x4+6x3-3x2 - 6x (x-1) 1/6(x+2) 16/3- +In x + 1 ¯ (x− 1) 1/6(x+2) 16/3- (x+1) 1/2 ¯ (x− 1)…

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Q: Find the area of the shaded region y = 5x-x² y=x 1 (a) (4,4) YA x=y²-2 y=-11 1 (b) y=1 x=e²

A: 1aThe area is bounded by the curves y=5x-x2 and y=x.

Q: What is the average rate of change of y with respect to z over the interval [-3,-1] for the function…

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Q: Find_f'(x) 16. f(x) = sec² x - tan² x

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Q: QUESTION 7 ·S sin²t sin²0 de csc³0 de sec ³0 de cos²0 de The integral dx (x²+4)² 01 Secto 0 + can be…

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Q: 3x5 3x4+6x³-3x² - 6x B с -+ x-1 x+1 x+m S= Consider Sx-m+- A xm+-+- -dx. Using the method of partial…

A: Since the degree of the numerator is not less than degree of the denominator, perform polynomial…

Q: dx The integral (244) ² + A = cos²0 de B - sec ³0 de Ⓒ+√x³0 de Ⓒ÷-sin²0 D sin ²0 de can be…

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Q: Question 4 Evaluate sin (Inx) dx- Integration by parts will be used repeatedly. What is the…

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Q: dx S can be transformed to which of the following when trigonometric substitution is used? (x²+4)²…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Given the vector function r(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

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Q: dy 5.) dx -2x +y = ye +y = ye (ye*) ³ 1 е : ²³-7e²ce Ans: y³ 3X ce ³2

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Q: Use Cramer's rule to solve the systems in Problems 21-32. 21. 3x + 4y = 2 5x + 7y = 1 22. 5x + 8y =…

A: 22. The given equation is: 5x+8y=38x+13y=5 To use the Cramer's rule to solve the system of…

Q: Question Define Q as the region that is bounded by the graph of the function g(y) = 2√y+2, the…

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Q: Consider ! x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 3/8 1/2 0…

A: The objective is to find the correct option.

Q: A payment of $2,690 was due two years ago, and a payment of $1,650 is due today. What single payment…

A: We have to solve for single payment.

Q: QUESTION 16 The volume of the solid generated by revolving the region bounded by x²=4y and y2-4x…

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Q: 3 Question 5 Example 6.4.2 of APEX Calculus uses this fact (which appears in an integral table): f…

A: The objective is to find the right option.

Q: 2. A cheetah chase a deer which is 100 m ahead. The time in which the deer takes 10 leaps the…

A: We have to use simple logic to solve the problem

Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x about y=4 is to…

A: Solution is here

Q: To evaluate x²cosx dx use integration by parts. What is the expression after the second integration…

A: We have to find the solutions

Q: Find an equation of the tangent line to the given curve at the specified point. = (1, e) X y =

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Q: Question Find the area of the region that is bounded above by the curve f(x) = (x + 8)2 and the line…

A: This question can be solved using the concepts of area bounded by curves.

Q: Suppose m and n are constants and m #n. Evaluate [sin (mx) cos (nx) dx.

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Q: The integral S x dx x²+√√x²-1-1 can be transformed to which of the following using trigonometric…

A: Please follow the next step.

Q: The integral ·S= dx (x²+4)² can be transformed to which of the following when trigonometric…

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Q: Consider S √(x-m+ 14/3 B 5 Ⓒ17/6 D 6 3x5 3x4+6x³-3x² - 6x A B C + + x-1 x+1 x+m -dx. Using the…

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Q: QUESTION 18 The volume of the solid generated by revolving the region bounded by x2=4y and y2=4x…

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Q: Estimate the slope of the tangent line to the curve at the given point (-3.5,1.250) on the graph to…

A: In this question, we want to find the slope of the tangent line of the curve at point (-3.5, 1.250).

Q: ydx-xdy + xydy = 0

A: To solve the given ordinary differential equation problem.

Q: 2 Find all local extreme values of f(x) = + 2x² + 6x + 80. - 3 The FIRST local extreme value, moving…

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Q: 2 I зах 9x²-6x+5

A: On solving this we will get

Q: A spherical tank of diameter 4 m is half-full of water (weight density = 9800 N/m³). Setup the…

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Q: Consider x sinx cosx dx = f(x) sin2x - g(x) cos2x + C. What is the value of f(1) + g(1)? 1/2 3/8 1/4…

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Q: Consider J x sinx cosx dx = f(x) sin2x-g(x) cos2x + C. What is the value of f(1) + g(1)? A) 1 B) 1/2…

A: We have to find the integral

Q: dy dx ³-√√3x² 2 √5x

A: We will solve the problem

Q: _et f(x, y) = xe - x². Calculate fx (x, y) and Jy (x, y).

A: To find the partial derivative.

Q: Find the area bounded by the trigonometric curves y=sinx and y=cosx from; x== 3.459 square units…

A: Area bounded by the curve .

Q: 1

A: We will solve the problem.

Q: Find the area bounded by the curve 16 square units 10 square units 4 square units 8 square units 16…

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Q: 172. Evaluate the definite integral using the Fundamental Theorem of Calculus, Part 2. 3 La+…

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Q: Find the derivative of the function. 4 24 y=. VF X X

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