Q1) Using numerical integration to estimate the area (r=4 )and c(4,0) with n=4 of the semicircle

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

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Q: 5. y = 3x - 4 at (0. - 4)

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Q: 5-6 Sketch the region whose area is given by the integral and eval- uate the integral. 5. ". 2 (7…

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Q: 1 n =1 (2n- 1)4 M8

A: Integral test

Q: d Calculate ri(t) · r2(t)] and r1(t) × r2(t)] first by differentiating d dt dt the product directly…

A: We need to solve differentiation problem.

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

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

A: Solving

Q: 1. Solve the initial value problem 2 = x? – 1, y(3) = 7. dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: 23 Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(5,5) tan0 =…

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Q: x²+2x²y=2xy+2xy²–3y The expression is equal to x+y

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Q: Let i denote the square root of – 1. For the two complex numbers z = 3e and w = 6e'5 find z. w. Give…

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Q: Select the correct answer. 12 , 30 lim Sn? what is the value of noo If O A. 24 O B. 50 OC. 84 OD. 75

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Q: what is b? it is the same question as a, so what is the convergence of B?

A: We can solve this as follows:

Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

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Q: how did the y' and 2y' apearred out of no where in line 7

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

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Q: Your interpretation and answer are incorrect.  My question had fractions but you interpreted them as…

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Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

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Q: 5. Given y = af(+ 1), Find when x=1 if f(2) = 4 and f'(2) = 5. dx

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Q: Select one: O True

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Q: Can you please type it

A: Answer is given in next step.

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.

Q: The integral of the given function xVx + 1 dx is equal to a. 116/5 b. 116/10 c. 116/15 d. 116/20 e.…

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Q: what is the curl f?

A: Let F(x,y,z)=f1(x,y,z)i+f2(x,y,z)j+f3(x,y,z)k be a given vector function. Then curl F is given by,…

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: Find two sets of polar coordinates for the point for 0 s0 < 2z. (r, 0) = (smaller r-value) (r, 0) =…

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Q: (d) , 2x Vx2 + 2 dx -5 (e) Si J5-y dy

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

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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: 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: hey got wrong answer still

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

Q: (2 C/2x-x² 30. Vx² + y? dy dx Jo

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Q: Use an appropriate substitution to integrate 12 x*(x++ 1)°dx

A: The given integral is 12x3(x4+1)9.

Q: 3. V4- (x – 3)²dx.

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Q: Plane travels for 9.5 hours on two-way trip between location A and B. The Plane can fly at 320 km/h…

A: Plane travels for 9.5 hours on two-way trip between location A and B. The Plane can fly at 320 km/h…

Q: Consider the function f(x) = (c) Find the intervals of concavity and the points of inflection of f.…

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Q: v5-x dx

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Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: Calculate the value of (1+2i)² and then use this value to find the roots of z-z+ (1 – i)= 0. (1+…

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Q: Question 19 Evaluate the integral given. c(2x)tan(2a)dx +C %3D > Next Question

A: To find out the integration.

Q: The market research department of a company recommended to management that the company manufacture…

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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…

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Q: What is the answer for C I cant read that hand writing

A: We can solve this as follows:

Q: 1 dx 3vx

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: (d) g(x) = v4 – x²;(-2,2) 2 (e) f(x) = (x + 1)3; [-2,1]

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Q: Find the limit. NOTE: Enter the answer using round brackets. t2 +8 1 lim tto 5t2 + 6' 8t

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Q: Use implicit differentiation to find dy/dx in x^2y^2 + y = x.

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