Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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A: Given, y= cos x -2pi&lt;=x=0

Q: blc (x-) got cancelled out »PW-x(x-1) (x+) 7. For what value(s) of c is f(x) = 4- x°, cr2 + 13 x <…

A: Solving

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A: Disclaimer: “Since you have asked multiple questions, we will solve the first question for you. If…

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A: Given

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A: The given function is;  f(x)=x3+6x2+2.

Q: If f(x) is integrable on [a, b] , then f(x) is continuous on [a, b] . O True O False

A: Given statement:If fx is integrable on a,b, then fx is continuous on a,b.We need to check the…

Q: n f (x) = 6x² – 5x - 6 and g (x) = 2x + 8, find (g %3D - А. — 61 - В. 61

A: Please refer to the image below

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Q: 7. y = csc csc (3x – 1) 8. y = 3secx + 45

A: Solving

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A: Given query is to find the the interval where graph concave downward.

Q: The integral of the given function f dx is equal to a. 0.116 b. 0.611 с. О.117 d. 0.161 e. None of…

A: Here we have to find the definite integral.

Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

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Q: 3. Two vectors, à and b, have a common starting point with an angle of 120° between them. The…

A: Solving

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

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Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: Express the circle specified by x = 2 cos(0) y = 1+ 2 sin(0) in Cartesian coordinates and find the…

A: Given:x=2cosθ and y=1+2 sinθWe need to express the circle in cartesian coordinates.

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Q: a) Determine whether the series (-1)"n² 00 Σ is convergent, n3 + 3n + 1 n=1 absolutely convergent or…

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Q: (e) e3の+2 = 5 In in 3a¥ス= Ins Correc

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Q: A man on a wharf is pulling a rope tied to a raft at a rate of 0.6 m/s. If the hands of the man…

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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: (a) Use the Second Derivative Test to find the local extreme values of the function f(x) = (x³ +…

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Q: at is the absolute maximum value of = x - 3x? on the e function f(x) erval [-2,4] ? а. —20 о b. 16

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Q: 3. V4- (x – 3)²dx.

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Q: 3. Evaluate: lim ( ) X-0 sinx

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Q: 13 Fimel thenadiuy.of.commergene afthe serves Σ 2m+2)(2mq4)

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Q: All exponential functions can be written in many forms. Write the function f(t) = 620e0.35t in the…

A: We have to transform the given function in given form function.

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

Q: Evaluate thne integrat -6 to -10. A. 21/2 B. 1/2 C. In 3

A: NOTE-Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: A graph of y = f (x) is shown. In the same coordinate system, sketch a graph of the derivative…

A: Graph of the function is given, we have to find its derivative graph

Q: Hey sorry but I just want to confirm. What's the minimal cost of painting?

A: Given problem:- A container in the shape of a (right) cylindrical can with an open top of volume 8π…

Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: ex + e2x

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Q: f has a local minimum when x = -2

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Q: Consider the function f(x) = x2 -1 %3D (a) Find the intercepts of the graph of f (if any). (b) Find…

A: The given function is: f(x)=xx2-1

Q: Prove or disprove the following statement by induction 1-3-5. ... ·(2n-1) a.) 2n whenever n is a…

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Q: Evaluate the indefinite integral: tan(0) cos(0) c

A: Given: ∫tan2θcosθdθ

Q: Find the length of the curve defined by y = 3z3/2 - 3 from x = 3 to a = 9. The length is

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Q: Which of the following is false? O none 3 n The series >, is divergent. 6+n n=1 00 1 The series is…

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Q: Which of the following is true for the series 3n2 Σ n =0 4n°+7 O None O Divergent

A: Solving

Q: Evaluate the integral of tan 2x dx tan 2x- tan 2x +x +c tan 2x - tan 2x + x + c C. tan 2x --tan 2x…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Let f(x) = 2^x+ x. Find (f ^−1)′(1).

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Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

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Q: Differentiate f (x) = 7 (2-60+3). A. f' (2) = a2-6x- 3 B. f' (x) = In(7)(2x–6)7™(=²-6z+3) x2-6x+3…

A: Differentiate f(x)

Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec r dr Vr…

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Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

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