Consider the following. (If an answer does not exist, enter DNE.) f(x) = 7 sin(x) +7 cos(x), 0sx s 2x (a) Find the interval(s) on which f is increasing. (Enter your answer using interval notation.) (b) Find the interval(s) on which f is decreasing. (Enter your answer using interval notation.) (c) Find the local minimum and maximum values of f. local minimum value local maximum value

Q: (9x-10) where "a" is f (x) = -i F (x) = 30

A: Follow the procedure given below.

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A:

Q: Which of the following trigonometric substitutions is the most appropriate to the intgral (4e2x +…

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A: As per bartleby guidelines we only give first three questions answers.

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A: Option C

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A: We need to find value of f(θ)

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A:

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A: First we divide the given differential equation both sides by x2 and then campare it with y'+Py=Q…

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Q: x² – 4 Evaluate:

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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.

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A: The value of c is 2.22

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A: This is a problem of integral of the trigonometric inverse function. Based on the general formula we…

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A:

Q: ,In sin –1x ) dx / sin(e n sin -x -cos(sin-!x) +C V 1– x² | A True B False

A:

Q: 9- 4x2 de Evaluate: x2 A f (x) /9 – 4x2 -2 sin () +C -1 9 – 4x2 + 2 sin () +C f (x) C None of the…

A: I have appended the formula used in the solution part.

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A: Given,            cosθ=-34, where π≤θ≤3π2            tanβ=34, where 0≤β≤π2To find : What is the…

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A: To find the antiderivative of the function

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A: integration if it helps, do like

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A:

Q: 9.There is no function f(x) such that S f(x) dx = f(x) +C. O A. True O B. False 10.lf the integrand…

A: yhi

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A: We use integrate by parts to solve the given integral.

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A:

Q: dx The antiderivativeof |- - 5ln +C. x +5 (A True B) False

A: To find if the given antiderivative is correct or not.

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A:

Q: xcos-1(x) If x =0.77 and y = 0.86, then value of C in the antiderivative of F(x) = is (use radian…

A:

Q: Consider the following graph. y -5 1 i 2 3 4 5 6 (a) Find the interval(s) on which f is increasing.…

A: To answer the given question using the given graph.

Q: x² – 4 Evaluate: A =Vx2-4+ sec-스)+C ⑥ -Vx2-4+2 sec-스)+C =V x2 – 4 – 2 sec + C (D =2Vx2-4+ sec-1스)+C…

A:

Q: dx The only solution to evaluate is using algebraic substitution technique. 3+V

A: Follow the procedure given below.

Q: ) Let F(x) = Vt? +7 dt. 3

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Q: 6x2 + 23x – 9 The antiderivative of f (x) is F (x) = a ln (|æ+ 3|) + b ln (Jæ|) + d ln (|x – 1|) +…

A: Given fx=6x2+23x-9x3+2x2-3x We ha1ve to find ∫fx=∫ 6x2+23x-9x3+2x2-3xdx…

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: Since the population increases by law of exponential growth.

Q: Question 18 -미ch2e-coth2e|+C csch2zdz = A) True B) False

A: A detailed solution is given below

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A:

Q: 9– 4x2 In solving for the antiderivative of f(x) = "using trigonometric substitution, ]f(x)dx is…

A:

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A: The given integral is ∫y2cos2y dy We solve the integral using integration by parts formula. From…

Q: Suppose a population of insects increases according to the law of exponential growth. There were 130…

A: There were 130 insects after the third day and 380 insects after the seventh day.

Q: Question 16 Which of the following is one of the correct/convenient steps to evaluate -+dx which…

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Q: (9xª –10) where "a" is equal to ) = - is F (x) = 30 choices

A: We have to choose the correct option according to the given information

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A:

Q: 12 Given sec A = and that angle A is 119 in Quadrant II, find the exact value of cot A in simplest…

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