Convert the point (-1,-V3) from Cartesian to polar coordinates. A) (-2,) B) (2.). c) (-2, ). D) (2,). 日 (2)

Q: Let R be the region in the half plane x 2 0 bounded by the curves y=-5x + 5 y = x2 - 1 *= 0 Compute ...

A: Solution

Q: 1. J sec x csсх 2. S sin*x dx 3. S e2*(Vx + 1) dx

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Q: Determine the equation (both standard and general) of the following conic sections based on the cond...

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other...

Q: Prove that the following statement is true for all positive integers. 1 1 1 + + 4 8 1 2" – 1 + 2n Pn...

A: Given; Pn : 1/2 + 1/4 +1/8 +...+1/2n =(2n -1)/2n

Q: Consider the series >. 1 1 and 1 n312 n=1 n3 + 6n n=1 Write an inequality comparing 1 1 to for n 2 1...

A: We know, n³+6n-1≥n³ for all n≥1    

Q: Using Figure 4, complete these functions. P(-20, 21) a Figure 4 cose = -20/29 21/29 -21/29 20/29

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Q: The radius of convergence of the series 00 n! (3x – 1)" -

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x) ...

A: We know, ∫xndx= x(n+1)/(n+1)

Q: 5x? tan( 3x³) dx. fu= 3x³, then the resulting integral is f(u) du. Find A Given: 4 A none of the cho...

A: Topic:- application of integration

Q: 5 on the interval [-4,4] x3 Find the average rate of change of g(x) = 3x2 +

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Q: 一站 Page > of 3 2. (b) of nonzero vector v is The directional derivative off (x, y) at the point (co,...

A: All parts are true. 

Q: 1. What is (3x) ? 2. What is (x*+ x)? 3. What is (2-32)? 4. What is (6v - 3v + Sv)? 5. What is (x-1)...

A: As per the guidelines we can solve 3 parts only 

Q: 3 x2 dx 4

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Q: 4. Find all the points at which the direction of fastest increment of the function f(x, y) = x² + y²...

A: According to question,Given Function,fx, y = x2 + y2 -2x -2y

Q: Find the distance between the points (distance formula) 1.(3, 2), (4, -3) 2.(-5, 1), (-7, -3) 3.(-1,...

A: Distance between two points (x1,y1) and (x2,y2) is (x2-x1)2+(y2-y1)2. Note : As per our Guidelines ...

Q: dx The integral where u= f(x) and for some constant, k. Compute (2). reduces to ex + 1 e2 +1 A e? e ...

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Q: Using Figure 1, complete the following function. Figure 1 tane = %3D O v/r u/r O r/u O r/v O vlu u/v

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Q: Find the solution of the following Differential Equations 2) y'+2xy = 0

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Q: II. Determine the derivative of the ff. logarithmic functions 4. y = 8 log , 7x² 5. y = - 5 log , (1...

A: As per our guideline we solve only first three parts

Q: What is the angle of the inclination (to the nearest whole degree) of a stairway with the floor if t...

A: According to question,Given,steps have a tread of 11 inches and a rise of 6 inches.

Q: Using the (e- 6) definition, show that f(x) = 3x – 1 is continuous at point x = 1.

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Q: Compute the LU factorization of the following matrix. No row interchanges will be necessary. You can...

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Q: 2.

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Q: From a point 525 feet in horizontal distance from the foot of a vertical cliff, the angle of elevati...

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Q: The displacement of a particle on a vibrating string is given by the equation s(t) = 14 + sin(14xt) ...

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Q: Use the Squeeze Theorem to evaluate lim sin(tan r) sech(secr). ес

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Q: n2 - 6 with n5 + 6 Write an inequlity comparing for n > 1. n3 (Express numbers in exact form. Use sy...

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Q: Express the repeating decimal as a fraction. 0.4713 43 43 43...

A: In this question we have to express the repeating decimal as a fraction.

Q: Find and sketch the level curves f(x,y) = c on the same set of coordinate axes for the given values ...

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Q: dx (a) : x2 + 4 .2

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: The equivalent Cartesian equation of the polar equation r = tan0sec0 is: A) y = x. B) y= x2. C) ху —...

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Q: Use the difference a+1 - an to show that the given sequence {an} is strictly increasing or strictly ...

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Q: Suppose f(x) = "6r V1+f dt.

A: Topic = Integration

Q: Is the series convergent or divergent? Explain in minimum of two sentences. +00 n2 – 1 n2 +1 Un n=1 ...

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Q: Evaluate the integral: f sin 7x cos 2x dx. A) sin 5x + sin 9x + c. 2 B) cos 5x +co cos 9x + c. 10 C)...

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Q: Assume E , is an infinite series with partial sums given by Sy 4 What is a,? A) B) C C) D) None of t...

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Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + 4y2 – 6x ...

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Q: Then find the length of the indicated portion of the curve. r​(t)=3e^t cost I+(3e^t sin t) j−3e^t k​...

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Q: 2. Find the derivative of f(x) 3. Calculate the derivative of f(x) 2a-4+-3

A: Topic:- derivatives

Q: Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(6,-5) sin = (6√61...

A: Please see the below picture for detailed solution. 

Q: 6 1/6 + 6

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Q: What is the form of the complete partial fractions decomposition of this function: of 5 x(x +3)2 (x²...

A: We have to find the form of the complete partial fraction of the function

Q: The graph shown below is f(x) = x2. If g(x) = f(t)d t, find g(3). AY 8 6+ 21 X 4 O g(3) = 9 O g(3) =...

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Q: In(12 x- 11) dx

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Q: Calculate y°dz – yz²dy – sen(2)dz, where C'is the path connecting the point A(-2, 2, 4) to the point...

A: We will calculate the integral ∫Cy2dx-yz2dy-sinzdzwhere path starts from point A-2,2,4 to the point ...

Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: Ratio Test :  Suppose ∑ak be an series and            ρ = limk→∞ ak+1ak , then(i)  If ρ <1 , then...

Q: 8-2x (f) lim- X-4 x -x-12 Vx² +16 –4 lim- (g) x' +8 lim x-2 x+2 (h)

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Q: Differentiate. f(e) = e cos(e) sin(8) f'(e) = cos (0)sin(0) – Osin (0) +0 cos (0)

A: I have stated the used formulas in the solution

Q: y + x²–x = 0 x² + 2xy +y = 0 X-

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