sech (Insinx) cotxdx=2tan-1(sinx) +C A True False 2m + ") đm=2 -2m cosh2m dm True B False sinu tan"u du where n is any integer, we use the transformation for tan²u= cos?u In A True B) False

Q: Which of the following is one of the correct steps to evaluate cos dt to obtain the correct indef…

A: Follow the procedure given below.

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Q: What is the general solution to the trigonometric equation? -V3 sec0 = 2 Drag the solutions to the…

A: Given, -3secθ=2 Divide by -3 on both sides, -3secθ-3=2-3 we have  secθ=-23

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A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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Q: /*[cosh?(2x²) – sinh2(2x²) ]dx is equal to A xdx B 2 x²dx D None E dx

A:

Q: Question 6 To begin evaluating sin*xcos°xdx conveniently, express: A sin'x as (sin²x)²and use the…

A:

Q: © J tane x*dx Using trigonometric substitution technique, the simplified integral after substitution…

A: sec2(x)-1= tan2(x)

Q: dx dx is converted to: 4+Vx By algebraic substitution, the integral - 2ydy y+4 B y+4 © [ vdy y+4 dy…

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Q: Question 17 (3x²+&x – 12) dx In the complete factored form of the denominator is x(x+4)(x+3). x3+…

A:

Q: Consider the alternating series -1)"bn with n=4 3n2 bn |3D n2 - 4 (a) Is the sequence {bn}…

A: The given series is: ∑n=4∞(-1)nbn, bn=3n2n2-4

Q: In tan"u du where n is any integer, we use the transformation for tan?u sin?u cos?u

A:

Q: Question 11 sin?u In tanmudu, where m is any positive integer, we use the transformation for tan?u=…

A: Here we have to check whether the transform is true or not.

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Q: What is the equation of the mean line of y=a sin(k(z – d)) + e? %3D O a) y = -a+c O b) x = c c) y =…

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Q: To evaluate y?csc2(y³) cor?(y³)dy, we let u =cse(y³)

A:

Q: If h (x) = cosxdx and h =4, then h (0) is equal to

A: answer is in step 2

Q: 4+4 n i) The sequence { ") is bounded by 3 n ii) The 11 th. element of this sequence is

A: We will the upper and lower bound of the sequence and the 11th element of the given sequence as…

Q: Find the linearization of the function f(x, y) 155 – 2x2 – 5y² at the point (5, 4). L(x, y) = Use…

A: Given:      f(x,y) = √ (155 - 2x2 - 5y2 )     Point : ( 5 , 4 )  Now     Linear approximation f (…

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A: Since the extreme value theorem states that- If f is a continuous function on [a,b] , then f has…

Q: 7. cot*xdx

A:

Q: To begin evaluating | sin*xcos xdx conveniently , express: A) None B sin*x as (sin?x)²and use the…

A:

Q: In the year 2000, the population of a small city was 41,000. The population grows at a rate of…

A: 2037 -2000 = 37 =t at 2037 population growth is = 1300*e(0.03*37) population  growth= 1300e1.11…

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Q: dx The only solution to evaluate is using algebraic substitution technique. 3+ A True B) False

A:

Q: Numerically integrate f (x) = x³ + 3x? + 4x = 2 using Single-Trapezoidal Rule. 6 from a = 1 and b -…

A: (1) solution

Q: 3号x}

A: answer is in next step

Q: 5 sin e cos ede 2. sin' 0+3 sin 6 -4

A: ∫5sinθcosθsin2θ+3sinθ-4dθ=5·∫sinθcosθsin2θ+3sinθ-4dθLet u=sin θ.=5·∫uu2+3u-4duBy partial…

Q: Find the vector PQ × PR if Р%3 (7,7,0), 0- (1,7,—1), R = (3, 2, –4) (Give your answer using…

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Q: The line in the direction of i −3j + 4k through the point (1, 0, −2).

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Q: Classify each as an identity equation or conditional equation 1. tan 2x = 2 tan x 2. sec x =…

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Q: Use Theorem 7.4.3 to find the Laplace transform F(s) of the given periodic function. F(s) = f(1)4 1…

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A: To find out the velocity and acceleration.

Q: Use logarithms to solve the equation for t. (Round your answer to two decimal places.) 20 = 10 1 +…

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Q: sin(en sin-lx )dr =- cos( sin-!x) +C V1-x? A) True B) False

A: To solve the following integral

Q: Question 6 To begin evaluating J sintrecor^rdx comvenienty, express: sin'x as (sin²x) ²and use the…

A: Here we put cos^5x as (cos^2x)^2 cos x and then  Use the identity cos^2x=1-sin^2x.

Q: x²-4 dx can only be evaluated using trigonometric substitution technique . The True B False

A:

Q: Find the Integral by using the substitution method.  x(7-x^2)^1/2

A: Given query is to find the value of the integral.

Q: 1 6. cos-xdx cos* xdx xprt.

A: We need to solve the integral.

Q: Express f(x) in the form f(x) = (x-k)q(x) +r for the given value of k. f(x) = 3x +x +x - 4, k= - 1

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Q: Evaluate the line integral, where C is the given curve.   z2 dx + x2 dy + y2 dz,   C C is the line…

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Q: The only solution to evaluate dx is using algebraic substitution technique. 3+ A True B) False

A: