Given the point (-10, ) in polar coordinates, what are the Cartesian coordinates of the point? Select the correct answer below: O (-5,5V3) O (5V3, 5) O (5.-5V3) O (5V3, -5) O (-5V3, 5) 0 (-5V3, -5) * Previous

Q: Ql Find se dx |

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Q: S sec°x tanºx dx

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Q: S cot®x csc°x dx Gcot'x -cot"x + cot":) + c B none of the choices Gcot"x - cot "x - cot":) + c…

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Q: wo linearly independent solutions of the differential equation y"-4 y=0 are O y,=e** and y, = e 4x…

A: I am attaching image so that you understand each and every step.

Q: Find the most general antiderivative. 20) [7x3 - 4x + 5)dx

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Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

A: Here, the given series is: ∑n=12∞n+5n! Let, an=n+5n!; n≥12

Q: the substitution formula to evaluate the integral. 4 cos³ x sin x dx T/3 27) 15 A) 15 B). 15 3276 D)…

A: Given query is to find the value of the integral.

Q: dx Evaluate: x/9x2 + 4 None of the above V9x2 + 4 + 2 In 4 f (x) = +C © f(x) = -2ln V9x2 +4 + 2 + C…

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Q: The result of the following double integral is LL* -3 у+1 4y dxdy= ? -4°0 O None of he others О 225…

A: The given integral,         ∫-40∫03y+14y dxdy

Q: Eveluate intelgal 2.

A: Given query is to find the integral.

Q: 9 – 4.x² -dx Evaluate: 9 – 4.x² – 2 sin () +C A f (x) = - B /9 – 4.x² + 2x sin- () +C f (x) = f (x)…

A: ∫9-4x2x2dx

Q: smoving along the graph of the given function at the rate ax/dt. Find dy/dt for the given v - = 2x +…

A: Given query is to find the value of indicated derivative.

Q: DO NOT include spaces in between characters. * Find the value of at the point (0,1) given the curve…

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Q: Select as many answers as possible. * Find the absolute extrema of the function 2/3 f(x)=(x+1)* in…

A: f(x)=(x+1)(2/3)    ,    [-2,1] f'(x)=2/3(x+1)(-1/3) At critical points f'(x)=0 2/3(x+1)(-1/3) =0…

Q: Surface Area All edges of a cube are expanding at a rate of 8 centimeters per second. How fast is…

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Q: S tan? 3y sec® 3y dy 2 tan 3y + tan 3y + tan" 3y + C O A none of the choices 2 tan 3y + 1 tan" 3y +…

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Q: In solving the antiderivative of (x)= sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: The given function,        fx=1sinx+3cosx+3

Q: Given In.ry+x+ y =2. Find dy by implicit differentiation. dx

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Q: In each of the problems, solve the given differential equation. 3. xy` = (1 - y2)1/2

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Q: a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D…

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Q: S sin x (cos x)ådx (cos x)ž + C none of the choices (cos x)Z + (sin x)ž + C O A B.

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Q: characters. And, DO NOT include dy/dx in your answer. * dy given x = sin (x+ y). dx Determine

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Q: Su Find D. andR X -1 %3D Xマ→!

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Q: x + 2y- z = 3 and x + 3y+z= an be evaluated by the following triple ntegral: 1-x 2-т-Зу dz dy dx. 42…

A: We have to choose the correct option from the given options according to the given information

Q: x2+64 Using trigonometric substitution, given dx, the simplified form of the integral is: x2 sec Odo…

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Q: x dy Q33. Solve the differential equation = 3x dx (a) y =+ ce 5 (b) yà = +ce 5 +ce 5 (c) yš = Vx +…

A: To solve the differential equation xy-23dydx+35y53=3x.

Q: A man 6 ft tall is walking at the rate of 3 ft/sec toward a streetlight 20 ft high. At what rate (in…

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Q: Find dy dx I-Ln(x+3)=tかが(x:)

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Q: Plot the set 1,0, on the number line. Round to the nearest tenth where applicable. Answer How to…

A: We can plot the points on the number line as below

Q: 3) Convert the following polar equations to rectangular equations. 1 a) r = b. r=4 4 cos 0-3 sin 0

A: (a)r=14cosθ-3sinθSince, x=r cosθ , y=r sinθso,cosθ=xr , sinθ=yrsubstitute in the given polar…

Q: Set up, but do not evaluate, an integral for the surface area of the surface generated when the…

A: writing given function as x in terms of y

Q: tan5 e -y secseс е-У 9. S -dy ey

A: Since, the student has asked to solve question number 9, so we are going to solve only question…

Q: characters. * Determine the slope of the tangent to the curve y - 3xy +2x = 4 at the point (3, 2).…

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Q: dx 1.4 Ven(3)+2x dx 1.5 Show steps. Your reasoning is more important than the numerical answer.

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Q: 2. Suppose that the edge lengths r, y, and z of a closed rectangular box are changing at the…

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Q: Work problem 2 " ) You must provide clear and detailed solutions for each of the following…

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Q: If D is the region enclosed by 4 < x? + y? < 9 and y <0, then which of the following is the setting…

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Q: Differentiate the function:  k(x) = 4 ln (x) + 2 cos x + x^2 k'(x) =

A: k(x)=4ln(x)+2cosx+x2Differentiate with respect to xk'(x)=(4×1x)+2-sinx+2xk'(x)=4x-2sinx+2x

Q: x² + 64 Using trigonometric substitution, given - dx, the simplified form of the integral is: (sec…

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Q: Evaluate the integral. x³(5x + 4) 22) dx Vx5+x+ +7

A: Find the integral using substitution method

Q: uestion 9 Saved t is possible for y = f(x) to have an inflection point at X = A even if f (a) is not…

A: Given query is to find that statement is true or false.

Q: (1 f(x) ={ 5 if x = 4 at x = 4 if x + 4 x - 4

A: limit continuity differentiability at x=4

Q: A circle with centre C has equation x² +y² – 6x+4y+4 = 0. (a) Find (i) the coordinates of C, (ii)…

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Q: Find the derivative. (The Fundamental Theorem of Calculus -- Part 1) 19) y = cos ft dt COS-

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Q: If D is the region in the third quadrant between x +y? = 1 and x2 + y? = 4, then using the polar…

A: We have to convert given double integration into polar coordinates integration.

Q: Find the second derivative. 14) y = 4x² + 12x + 4x-3

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Q: y ton(メツ) ン Q3 Find tanx 2 y-(1+x

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Q: + C2e¬4x The auxiliary equation of a second-order homogeneous linear differential equation is m2 –…

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Q: S xdx can be solved by either algebraic subsitution or integrataion by parts. Vx- 1 A True B False

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Q: The antiderivative of [Vx²-25 dx is x2 – 25 – sec-lx+ C. A True B) False

A: ∫x2-25xdx