The graph y = cosx, given the domain -4: has x-intercepts at and 4' 4 4 A 37 and 4 4 4 and 2

Q: dy Find by implicit differentiation. dx 7x2 + 3xy – y? = 9 dy dx

A: Differentiation of the above function is

Q: curve in the xy-plane is denned by the vector valued functic dy in terms of t? dx? where x(t) = 2 ln...

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Q: Example 52. x log x dx.

A: ∫ xlogxdx ∫f(x)g(x)dx = f(x)∫ g(x)dx - ∫ (f'(x))∫ g(x)dx)dx   ∫ xlogxdx =∫ (logx)(x)dx              ...

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

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Q: 2. If z y where z= s cos t and y=s sin t, find az/ôs and az/at.

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Q: Find the exact length of the curve. 2 3/2 y = = 12, 0<xs 1

A: Given ,y=23x32Aim: To find length of curve in [0,1]We know that L=∫ab1+[f'(x)]2dxTherefore,L=∫011+dd...

Q: Prove: 1. tan (A/2) = - cos A 1 + cos A sin A 1+ cos A 2. tan (A/2) = ±

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Q: Parametrize the following two curves in R3 and find their arclength. (1) the intersection of the cyl...

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Q: 2 Given f(x,y) = x?y-3xy³. Evaluate fdx 14y-27y + C 6. -6y3 + 8y/3+ C O 6x2 – 45x +C 4 2x2 – 12x+ C

A: ∫xn dx = xn+1n+1+C.

Q: Question 8 A -tan(61) + C B 6tan( 61) + C B Ltan (61) + C D - tan

A: The given integral is sec2(6t).

Q: What integration technique can be used to integrate: sec3 xdx Integration Formulas O Trigonometric S...

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Q: Solve the system of linear equations using direct method for an exact solution Cramcis x + 2x2 + 6x;...

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Q: Find the indefinite integral. X COS 9TX

A: Given,I=∫ xcos9πx2dxPut u=9πx2Differentiatedu=9π(2x)dxdu=18πxdxdu18π=xdxThereforeI=∫xcos9πx2dxI=∫cos...

Q: Question 2 --> Find the Stalionary Values of the fllcwing functions and show wheher they reecesent M...

A: Note :- These are the multiple questions and according to our company guideline we can do maximum on...

Q: Let m(t) be a function with the values given in the table below. 1 t 2 3 m(t) | 100 1600 25600 40960...

A: topic - exponential function

Q: Question 1 xcos (2r²+7 )dx A -sin (2x²+ 7) + C B 4sin (2x²+ 7) + C B - 4sin (2x²+7) +C D - sin (2x²+...

A: Given :∫xcos(2x2+7)dx

Q: 2п +1 E. Σ Зп +2 Е. n=0

A: The given data is: ∑n=0∞2n+13n+2  Solve using the integral test.

Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: Evaluate the surface integral F*n d-sigma where F = 2xi +4zj - 4yk, and S is the part of the sphere ...

A: Value of the surface integral is

Q: Evaluate the following integrals. Express your answer in simplest form. Box your final answer. dx 5....

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Find dy/dx by using Leibniz’s notation for the chain rule: dy/dx = (dy/du) (du/dx)  y = (2 x3 − x2 ...

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Q: 3. Given the following piecewise function (x² – 4x – 5, x # -3 13 – x, x = -3 f(x) = Determine the v...

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost ...

Q: Solve the problem. Find the area of the triangle determined by the points P(-3, 6, -4), Q( 2, 10, -9...

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Q: Find a formula for the area of the ellipse a2 y? =1 (where a,b>0). 62 Show and explain ALL your work...

A: lets the area A = 4∫0aydx lets write x = asin(t)   y = bsin(t) dx = acos(t)dt limit is o to π/2 A = ...

Q: Evaluate the following limits 5 a) limx-0- 5 5 b) limx-o+ 5 c) limx-0 x3

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Q: Find the derivative of y=x?sinx x?cosx +2xsin x 2xcos x x2 sin x+2xcos x x2cosx

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Q: Find the radius of convergence and the interval of convergence. k(k + 1) k=1

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Q: Consider the series 00 (x – 6)6 + 4. 3! (x – 6)8 + 8.4! (x – 6)4 Σ а, 3 (х — 6)2 + + 2· 2! n=no Find...

A: N0=1 to infinity in summation  

Q: dx x-1

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Q: 2 Given f(x.y) = x?y-3xy³. Evaluate fdy O 14y-27y +C 6. O -6y³ +8y/3+ c 6x2 – 45x + C 4 2x2 – 12x+ C

A: Given that a function:  f(x,y) = x2y - 3xy3  And we find value of integration that has limit 1 to 2....

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

A: Here, the region is bounded by y=6sin(πx), the x-axis, y-axis, and line x=1. The areas of the region...

Q: 1. Find the domain of the function: f (x) = log2 Show a sign table. %3D Intervals: Test Value: Sign ...

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Q: 10. Determine three positive numbers whose sum is 48 and such that their product is as large as poss...

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Q: Write the first five terms of the recursively defined sequence. a1 =6, ak+ 1 %3D %3D a2 = 23 = a4 a5...

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Q: What is the first derivative with respect to x of f(x) = (x² – 4) (3x – 2)? a. (2x)(3) b. 6х (x + 2)...

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Q: Find the volume of the solid with the base is the region enclosed by the parabola y = 1-x² and the x...

A: Here, to find the volume of the solid with the base is the region enclosed by the parabola y=1-x2 an...

Q: V3 If sin x = - and -90° S x S 0°, evaluate sin 2x 2 1 2 V3 2 1 2 V3 2

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Q: 2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the...

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

Q: The degree of the derivative of f(x) = (3–x)'(x – 12)° is

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Q: Question 4 x³dx (x²+2) ³ 1 A 2(x²+2) ' 2(x²+2) ? 1 1 В 2(x²+2) 2(x²+2) ² 1 +C 4(x²+2) ' 2(x²+ 2) 2 D...

A: Here, the given integral is: I=∫x3(x2+2)3dx⇒I=∫x2x(x2+2)3dx...(1)

Q: HOMEWORK 13: 1. For the box shown below, determine the value of x if the total volume is 94 cm3. x+ ...

A: Given

Q: Find the derivative of the vector function below r(x ) = sin (secx 2)i +csc°(Vx² +1)j +8tan(x")k 1 A...

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Q: 3x²–10xy+3y²–32= 0 Rotate the axes so that the new equation contains no xy term. Analyze and graph t...

A: Given .  Equation 3x²-10xy+3y²-32=0 Let's assume that axis is rotate an angle theta. So new coordina...

Q: A population is modeled by the differential equation 1.20(1 -) dP dt 4300 (a) For what values of P i...

A: Given :dPdt=1.2P1-P4300

Q: dx -1 2x+3

A: To solve the following integral

Q: Solve the following equation by factoring. -5x2 - x = -4

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Q: Use sigma notation to write the Taylor series about x = xo for the function. e*; xo = 4 %3D k! k=0 4...

A: Taylor's series about x=x0 for the function ex; x0=4

Q: Tutorial Exercise Confirm that the Integral Test can be applied to the series. Then use the Integral...

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Q: g(x) = x - 4 and h(x) = x2 + 3

A: Let two functions g(x) and h(x) are given, then their composition (hog)(x) is given by, (hog)(x)= h[...

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = V x8 + 5 y'(x) = %...

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