For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin 8-cos e r= 6 14 cos 8-sin 8 14 6 cos 0+ sin 8 14 6 cos 8-sin e

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Q: COSINE LAW * A 40 meters high tower stands vertically on a hillside (sloping ground) which makes an…

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Q: Let f(x, y) O a) 64 / 27 Ob) 64 / 125 Oc) 27/125 d) 27/64 =X x√√x² - y². Then f(5, 4) = Oe) 125 / 64…

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A: As per our answering guidelines we are allowed to solve only one question kindly repost others.…

Q: f Find f+g, f-g, fg and - Determine the domain for each function. g . f(x) = 3x² - 17x + 10,…

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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A: Note : as per guidelines we support only three subparts of the questions.kindly repost next…

Q: a) Let f(x)=-3x² + 4x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

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Q: For items 1 to 10, determine 1. y = 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√√x 3. y = e-sinz 2. y=-- (A)…

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Q: Determine all the relative minimum and maximum values, and saddle points of the function h defined…

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Q: Find the derivative of the function. g(x) = [2 + (x² + 1)41³ g'(x) = 2 + (x8+ 4x6 + 6x² + 4x²+3)3

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Q: Graph the integrand and use areas to evaluate the integral. 5 S (5-1x) dx -5 A. 50 B. 75 C. 25 - 2…

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 20-x²;…

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Q: Find f(x) given    f'(x)=(x2-2x+1)/x f(1)=6

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Q: 1) x(x + 1) dx S (3) x² x² +9 dx (2) √ x(x x(x + 1)³ dx (4) (x² + 1) cos x dx

A: Disclaimer:  “Since you have posted a question with multiple sub-parts, we will solve the first…

Q: 4. y = esec²z (A) sec²rtan resec² z (B)-2 secrtanrx sec²z 5. y= Arccos(x²) 2x (A) √1-2¹ 2x √1-x² (B)…

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Q: tan(x) 5. Compute the limit for lim x-0 sin(x) , and show by hand how MAPLE obtain the results.

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Q: Problem 1: [(4x + 3)²D² − 12 (4x + 3)Dx+64]y = 16[(4x + 3)² sec² (ln|4x + 3)] - Problem 2: x³y"" −…

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A: Topic - Extremas of the function

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Q: 2π What formula would be used to calculate the left rectangle approximation of ² (sin x cos x)dx…

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A: We have to find the partial fraction decomposition.

Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: I have stated the used formulas in the solution

Q: Use Definition 7.1.1. DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t > 0. Then…

A: Let f be a function for t≥0 then the integral Lf(t)=∫0∞e-stf(t) dtWe have to find the Lf(t)Where…

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Q: Find the Taylor polynomial of degree 2 centered at x = e for the function defined by ƒ(x)=x² lnx.

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Q: (₁ Find the absolute extrema of the function on the closed interval. ƒ(x) = x³ − 12x + 1, [-3,1]

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A: we have to find limit of function  here function is given y = x x =4 and x axis  x axis means x = 0…

Q: Find the derivative of the following functions. F(x) = √²** 1. √/20162). 2. G(x) = 3. H(x) = L √t³ +…

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Q: For a function f (x, y), (0, 0) and (1, 1) are two critical points. Also, fxx = 2x², fyy = y²2 and…

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Q: After using Long Division then decomposition into partial fractions (without evaluating the…

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