Compute the given integral. fain' sin" x cos xdx +C

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A: Explanation of the answer is as follows

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

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Q: V. 90) Preview 5 = 5. v. lim g(x) = Preview H-1 vi. lim g(x) = Preview I-1" vii. lim g(x) = Preview…

A: As per our guidelines we can help you in solving only first three subparts.Rest of the problems you…

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A: As you have asked to answer question 8, we will answer question 8.Question 8.The given integral…

Q: use the first fundamental theorem of calculus

A: To solve the following problem

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A: This question is based on application of derivative.

Q: dy Differentiate parametrically to find dx in terms of t: x = 4t?,y= 2t3

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Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

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A: To find out the derivative of the function.

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A: According to guidline, 1st are solved

Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

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A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly…

Q: hey got wrong answer still

A: Here, given that: y=x4+2, x=-3, ∆x=0.01

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Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: Show that the particular solution of the differential equation dy 5dy + 6y = 12(x+e") dx dx dy is y…

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Q: (iii) Find the angle between the vectors. a = 8i – j+ 4k, b= 4j+ 2k (iv) Find the volume of the…

A: Given a=8i-j+4k, b=4j+2kTo find angle between two vectors:

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A: We can solve this as follows:

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Q: If T is the point at the given distance on the unit circle C from P (1, 0), determine the quadrant…

A: Here, T is on the unit circle, and its distance from the point P(1,0) is 13π12 that is:

Q: Given f (x) = a +1 and g (x) = 2x +3, find f[g(x)]. %3D %3D O A. fg(x)] = 2a2 + 5 O B. f9(x)] = 2a?…

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Q: Evaluate, with an exact value, the definite integral º -1/1+a dx.

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Q: Evaluate the following limits: (1) lim (V +1- V). x→+∞ |2² – 1| (z^ – 1+8^) (ii) lim x-1 x – 1 x<1

A: Limits

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A: Given

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Q: Could you help me with part b) also please?

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Q: why

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Q: Differentiate exp(sec(x^2)

A: Given query is to find the derivative of the expression.

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A: We know volume of a sphere of radius r=43πr3 cubic unit

Q: Uncover the function's average value. Given: f(x) = 7x + 9y; R is a triangle with vertices (0, 0),…

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Q: culate the value of (100°)' × [10-7 x (0.1)* ] ". . Give answer as a power of 100.

A: Topic:-  simplification

Q: Express the vector 7i - 6j + 6k as a product of its length and direction. 7i - 6j + 6k =[Oi+…

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Q: find the derivative of y=4x^2+4x+1

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Q: can i have handwritten solution, thanks!

A: We can solve this as follows:

Q: 21 Given the function F(x) = x3 + 2x – 1, find the value F(-2).

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Q: 8 In what quadrant does the angle lie? 7pi/3 IV II I III

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Q: I don't understand the a20 answer?? Is that 2n-7??

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Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx