dx using miscellaneous substitution will yield to secx + 1 Transforming Ⓒ S A 1-z² B 1+z² © √ 1 + 12²/2 -dz - 2z² D -dz 1+z² z²+z -dz -dz

Q: integral sin ³0cos Odt sin20 2 sin²0 = 1 - cos²0 1+ cos20 cos²0= 2 1- cos20 (D) sin²0= 2 To evaluate…

A:

Q: Question 11 If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant,…

A: Topic:- application of integration

Q: Question 36 Evaluate the triple integral: (x+y+z)dydxdz 0 A 24 B) 18 (C) 6 D) 12

A:

Q: Question 16 d If g(x) = == S[e²-In (21+1) ]dt, find g(x). dx 4 A et + (2x+1)2 e* -In(2x+1) 4 e¹+ (2x…

A: We will first find g(x).

Q: lim x-2 x²+2x-8 x-2

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

A: The integration are

Q: 9 Let the integral be solvable' using trigonometric substitution. What is the correct choice of u…

A: A detailed solution is given below.

Q: A company's revenue from selling å units of an item is given as R. = 1500x – x². If sales are…

A:

Q: If g(x) = - [e' - In(2t+1)]dt, find g''(x) . dx A e* -In(2x+1) 4 B (2x + 1)² 4 C (2x + 1)² 2 D (2x +…

A: To solve the following problem

Q: Given 1 [₁f(x) dx = 0 and -1 1 S²F(x f(x) dx = 11 6 I evaluate 1 √²3f 3f(x) dx - .0 -1 2f(x) dx.

A: Explained below

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: Question 8 - Find the radius of convergence and interval of convergence of the series Σ (-3)”.x” √n…

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Q: Evaluate the integral by interpreting it in terms of areas: (2) [+ |x|dx (1) L₂ (3+√4-2²) dx

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Q: Let f(x)=√3x-2 on the interval volume of the resulting solid. W|N - Revolve the region between the…

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

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Q: 9n + 5 5 | 4m3 + 2n? + 5

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Q: Let f(x)=√√3x-2 on the interval volume of the resulting solid. 43л A -unit 3 125 43л B 135 83ñ 125…

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Q: The sum of one number and five times the second number is 50. A. What are the numbers so that their…

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Q: Find and sketch the domain of the function. f(x,y)=√y-x-8 Find the domain of the function. Express…

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Q: Give the domain and range. Then, use the graph to find (a) f(-2). (b) f(0), (c) f Ay 40 & M 2 X and…

A: Answer: The solution is given below:

Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

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Q: Evaluate the double integral: A B D) 9|N 2 N|G m 100 3 8 •√x 1. √ √V 24 +10 2ydydx

A: Evaluating the double integral

Q: area of a rectangle is fixed at 60 square meters. The base is increasing at a constant rate of 2…

A: Given the query is to rate of change of height.

Q: 25+1 c) r³-3x²-10x dx

A:

Q: QA-evaluate the flux of the filed F-xi+yj+zk through the upper part of the cylinder x² + z² = 1 that…

A: Given

Q: dx aluate: :S₁ (x+1) log(x+1) A In10 In[log(x+1)] + C 1 B -In[log(x+1)]+C In 10 O In 10 log² (x + 1)…

A: Topic:- application of integration

Q: Evaluate the iterated integral. r4y *x + y [IT*** 6xy dz dx dy

A:

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

A: A detailed solution is given below.

Q: Micky needs to earn at least a 2.5 in the class to keep a scholarship. What is the lowest percentage…

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Q: dx Transforming - using miscellaneous substitution will yield to secx + 1 A -dz 1+z² B 1² 2-2z² 1+z²…

A: Given problem:-

Q: Find the gradient vector field of f. f(x, y, z) = 2√x² + y² + z²

A:

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: The integration are

Q: We can apply General Power Formula of Integration on which of the following integrals? Aeschuco…

A: To find the solution for integral

Q: Where is f(a) not continuous? JAROMEN M 0 :-2 SE 4 O 0 02 O nowhere O-2 and 2 O-2 0 2

A: here in graph we see that function is not contineous at 2 and -2 value there is not contineous graph…

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

A: The integration are.  .

Q: Find the area bounded by : f(x)=e*, g(x) = e¯* and x=3. -X A (e³+ 1)² e3 sq. units (e³-1)² e3 sq.…

A: Option (B) is the correct answer.

Q: Evaluate the integral: A B C D 16 1 "Im =|m 1 7/6 دان داww 3 sin(3x)cos(3x) dx

A: We have to find out integral

Q: Solve

A: We have to calculate the given indefinite integral

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: Find the derivative of the function at Po in the direction of A. f(x,y,z)= -2 ex cos (yz),…

A:

Q: If a horizontal element is used to find the area bounded by y=√x, x=4 and the x-axis, the limits of…

A: Integration

Q: . Evaluate 1 4-x² dx

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Q: Find the area of the surface. The part of the sphere x2 + y2 + z² = 49 that lies above the plane z =…

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Q: Question 17 The improper integral A 00 B) e C) 0 (D) 1 if the 0 edx is

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Q: How many antiderivatives does a function of the form f(x)=x" have when n*0₂ (A) 1 (B) none may vary…

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Q: Given B ₁ [_²_f(x) dx = 0 and [ f(x) dx = 11 2 55 6 D 0 11 11 = √²3f(x) dx - _2f(x) dx. evaluate

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Q: Consider the functions z= -5 e* Iny, x= In (u cos v), and y= u sin v. əz əz (a) Express and as…

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Q: хра (q

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Q: The integral of x^7(2x^6 - x^8) dx with limits -5 to 5

A: Evaluating the definite integral