Write each of the other trigonometric functions of e in terms of cos(e). (Enter your answers as comma-separated lists.) sin(e) = tan(e) csc(e) = sec(e) = cot(e) =

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A: Here we have to integrate the given integral.

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Q: a) ): Explam why the following series Σ (-1)"-1 1+ n3 n=1 is Alternating. b) Use the Alternating…

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A: Question - 1(a) Given: y=53y=x3 Formulas used: The area bounded by the curves f(x) and g(x) is given…

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Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

A: This question is related to derivative, we will solve it using given information.

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Q: 1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

A: To find the sum of the given finite series. Note that: ∑i=1n1=n∑i=1ni=n(n+1)2∑i=1ni2=n(n+1)(2n+1)6

Q: Find the derivative of the function. 3 ew r = 8w dr dw II

A: Solving the problem by finding the value of the derivative.

Q: Consider the contour represented in the following figure. The points marked on the figure are А(5,…

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Q: (d) In(2x - 3) + In(x) – In(x + 1) = 0

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Q: Consider the function f(x) = x* + 2x'. (a) Find the x- and y-intercepts of the graph of f (if any).…

A: Use derivative for finding the extreme point.

Q: dr Vr - 9

A: Given: I=∫drr3-9   ...1   As we know that; The Power rule: ∫xndx=xn+1n+1+C And ∫1ax+bdx=1alnax+b+C

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Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

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Q: Differential Equtaion: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to…

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Q: 6x² + 5x + 16 dx x3 + 3x2 + 2x + 6 5 Injx + 3| + in (x² + 2) – vZ tan () +C 5 In|x + 3| + in (x² +…

A: ∫6x2+5x+16x3+3x2+2x+6dx=∫6x2+5x+16x2(x+3)+2(x+3)dx…

Q: 2x2 + x + 3 -dx x3 + x In|x| + In (x² + 1) + tan-1(x) + C In|x| – ; in (x² + 1) + tan '(x) + C…

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

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Q: Q1. Test the convergence and divergence of the following: 6. E=1 Inn (comparison test) 00 n%3D1 71…

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Q: 7-10 Evaluate the double integral. 7. y? dA, D= {(x, y) | –1< y< 1, -y – 2 < x < y} D y 8. dA,…

A: Let's find.

Q: dy 18. 0 do 2y = 0 sec 0 tan 0, 0 > 0, y(7/3) = 2

A: Given problem:- θ dy/dθ -2y=θ3 sec(θ) tan(θ) , θ&gt;0, y(π/3) =2

Q: Question 3. Motion with Gravity: su Neglecting air resistance, the motion of an object moving…

A: Let's find.

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

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Q: Use the figure to find the exact values of sin(2u), cos(2u), and tan(2u). sin(2u) cos(2u) tan(2u) II…

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Q: (e) lim [p(x)]9(x) (d) lim [p(x)]^x) Xa INDETERMINATE Xa INDETERMINATE 9(x) (f) lim p(x) Xa

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Q: x sin¬1 x² dx

A: To find out the integration.

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

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Q: 2. All straight lines with slope and y-intercept equal. У (x + 1) — у %3D0 ans.

A: It can be solved as follows

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A: Given ,  Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the…

Q: 6. Where are the following functions di: x+2 a) f(x) = %3D V(x+2)x

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Q: c) h(x) =(5x-1) 12x² – 6 d) m(x) = (4x² – 9x} %3D

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Q: Determine the value of limx→∞ 7x²+5 x²+3x+7 Answer:

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Q: Let u = 8i + 2j, v=i+j, and w =i-j. Find scalars a and b such that u = av + bw. a = b =

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Q: ) Use the Integral Test to determine whether the series 1 is convergent or divergent. n=1 (3n – 1)?…

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Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

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Q: Give the range of the function f(x) = -x 2. all reals y ≤ 0 y ≥ 0

A: The given function is: f(x)=-x2

Q: 3) Find the area of the region bounded by x? = y and y = 1. a. 1/3 sq.units b. 2/3 sq.units c. 4/3…

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Q: Consider the function f(x) = x* + 2x. %3D

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

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Q: Find the area bounded by the graphs of the indicated equations over the given interval.

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Q: I cant figure out your process and answer

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Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A: To solve the following function properties

Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A: The given curves are; y2=x and x-4=0 Now find the point of intersection between the curve and line.…

Q: Kindly recheck your answer thank you . What is the area of the region bounded by the graphs of y?…

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Q: x2 +y? +z? - 4x + 8y – 2z = - 12

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Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 8 sin(x). If f(0) = 2 and f'(0)…

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Q: ii. lim g(2) – 5 iii. lim g(x) 5 I--0 iv. g(0) — 5 v. lim g(x) →-17 vi. lim g(x) vii. lim g(x) PEN…

A: limx→a f(x) =L if and only if limx→a- f(x) =limx→a+ f(x) =L Note : As per our guidelines we can…