Using Figure 1, complete the following function. V u Figure 1 sing = %3D u/r v/r ^yn O r/v v/u r/u O O

Q: Let F = %3D So Use Stokes' Theorem to evaluate F · dī, where C is the curve of intersection of the ...

A: Here, the given function is F=xy,5z,4y To use Stroke's theorem: ∫CF·dr=∫∫S∇×F·N^ dA And, ∇×F=ijk∂∂x∂...

Q: cot (2x) -dx. Evaluate the integral V cot2 (2x)- 15 csc (2x) CSC A --Arcsec 8 +C 4

A: I=∫ cot(2x)cot2(2x)-15I =-∫ -cot(2x)csc(2x)csc(2x)csc2(2x)-1-15 dxcsc(2x)=u-2 cot(2x)csc(2x) dx = du...

Q: 3. Suppose that z = f(x, y) is a differentiable function with respect to variables !! x and y and is...

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Q: Given the graph below, determine if the function H(x) is continuous at the following values of : 1. ...

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

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

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Q: Homeworks 1. When a eircular plate of metal is heated in an oven its radius increases at a rate of 0...

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: 5. S 5u³ In 4u du

A: Note :- These are the multiple questions and according to company guideline we can maximum one quest...

Q: 5x² tan( 3x³) dx. If u= 3x³, then the resulting integral is Jf(u) du. Find . 5/2 A 18 5/2 18 5 18 D ...

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Q: When the numerator has a higher degree than the denominator, we have to start with long division. Af...

A: It will be covered in step 2.

Q: 4 x4 differentiable at x = 4. Is f continuous at x = 4?

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) : 1 n = 4, C = 2 Pa(x) =

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Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3Vx - 2x A) u = ...

A: The given integral is 5/[3√x -2x].

Q: Find the tangent plane of the surface z = f(x, y) at (0,0, 0) in which 3y f(2, y) = || cos /3 t dt.

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Q: Find the derivative of the function. y = cos V sin(tan(3x)) )

A: Topic = Derivative

Q: 12x +1 dx. (2x- 1)2 (3x+2)? Evaluate: 1 (A (2x- 1)2 (3x +2)² +C B (2x- 1)3 (3x + 2)3 3 + C ⓒ In l(2x...

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Q: (b) Given that f(x) = 8(x*) g (5) = 3 and g(5) = 5, find the value of f (5).

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Q: 00 For which values of p does E converge? (n° +7)" n=1 (Use symbolic notation and fractions where ne...

A: Given problem:-

Q: x In(2 + x³) dx

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Q: What is f'(x) given the integral function f(x) = cos(e“)d u? %3D O rm = 3x cos(e) O f'(x) = 3x cos O...

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Q: x - 5, x21 (b) A function ƒ is defined by f(x)=. 1 x<1 Show that f is differentiable at x = 1. Hence...

A: We have to show our function is differentiable or not at x=1

Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² - 2...

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Q: Consider the function f :R² → R given by f(x,y) = e* In(1+ y) Write down the second-order derivative...

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Q: 2.

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Q: tan (In |4x2|) -dx is b in cos (In |(2x)*|)|+c. The integral of What is b?

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Q: Find the nth Taylor polynomial for the function, centered at c. 1. f(x) n = 4, c = 3

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Q: sin 3x Given: -dx What is the appropriate formula to find the integral? cos? (3x) (4-3 sec 3x) du (A...

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Q: Calculate F. dS where F = (3xy°, xe", zª) S is the surface of the solid bounded by the cylinder y? +...

A: Let's find. 

Q: Use the binomial series to find the Maclaurin series for the function. 4 f(x) = V1 + x 1 f(x) = 1 +-...

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Q: Consider the function f :R →R given by f (x, y) = e* In(1+ y) Find Vf. What is the rate of change of...

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Q: Using Figure 1, complete the following function. (-8, - 6) Figure 2 tane = O 4/3 -3/4 3/4 -4/3

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Q: and Vk are convergent series Vk) are convergent series and tl E(uk + vk) = L Uk k=1 k=1 Σ E(ur – « v...

A: In this question we will use basic concepts of algebra i.e summation of infinite terms. Solution of ...

Q: х — 2 1. f(x) (2? — х + 1)2

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Q: Use the binomial series to find the Maclaurin series for the function. f(x) = V1+ x %3D 00 f(x) = 1 ...

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Q: The graph shown is f(x) = 2x2 - 2. What is the integral that defines the area under this line betwee...

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Q: Evaluate

A: We will find f''(2).

Q: sin 3x Given: -dx_what is the appropriate formula to find the integral?- cos2(3x) (4-3 sec 3x) A du ...

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Q: Find the distance between the points (distance formula) 3.(-1, 1/2), (3/4, -4) 4.(a, b), (c, 0)

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Q: x² - 36 lim X6 x+6 (a) Vx+11-4 lim (b) x-5 (c) lim- x2 2-x x +6x+9 lim (d) r+3

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Q: Question 2 du where u= {(x) and for some constant, k. Compute /\2). The integral reduces to e + 1 A ...

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Q: 22 Use a triple integral to find the volume of the given solid. The solid enclosed by the evlinder x...

A: According to question,Given Cylinder and planes,x2 + z2 = 4y = -1y+z = 4

Q: + 0o Consider the improper integral dx. What will be an appropriate solution and answer? x2+ 2x+2 A ...

A: We have to find value of given improper Integral.

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: First we find radius of convergence. Then find interval of convergence. 

Q: 1. lim (10²-3log x-2(logx)²) X-10

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as th...

Q: Given u(x,t)=(1/t)e^(x^2\4t), compute: uxx

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Q: x - 36 lim X6 x+6 (a) Vx +11-4 (b) lim- x-5 (c) lim- X-2 2-x (d) x' +6x +9 lim x+3

A: a) limx→ -6 x2-36x+6 =limx→ -6 (x-6)(x+6)x+6                     ( using factorisation              ...

Q: x²+ Consider dx. Using u-substitution and transformation of integrand, then the power formula (x*+ 8...

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Q: X = cos 2t, y = cos t, 0 <t<T

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Q: x + px+6, x22 (b) Functions f(x)={ x-2, x<2 (4– 2x, x22 and g(x)={ are 9-x, x<2 continuous at x= 2. ...

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Q: At least one of the answers above is NOT correct. Match each of the following with the correct state...

A: This is question related to series and sum calculation. Based on several method available for testin...