Differentiate. h(0) = 02 sin(0) h '(θ) -

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Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: 1. Evaluate: e3z dz (ez + e5z)2 0. 8.

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Q: lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

A: We will multiply and divide by a factor which numerator a square type and will remove square root sy...

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Q: dy 1- IF y = cos(3 cos 2x) find dx

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Q: What is the general solution to the differential equation = (1 + y²)e*? dx

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

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Q: Let f(x) = 2x? – 7x + 11 The slope of the tangent line to the graph of f(x) at the point - (5, 26) i...

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Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should ...

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. H...

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1+9) 6. an = %3...

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Q: Use the Root Test to determine convergence or divergence (or state that the test is inconclusive) of...

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Q: аx2а (х2а+1)* dх ax²a

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Q: Question 3 Evaluate dt A 313-1+C B 12-1+C c) 312-t+C D 312– 31+ C

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Q: 8. Solve for all sides of the triangle. 12 40° 95 A

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Q: eBook Submit Answer

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Q: &r4- V -, determine the Let y=f (x) + C be the antiderivative of F (x) = space) if *=3.6, and y= 17.

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Q: Σ Given that xn with convergence in (-1, 1), find the power series for the function with the given c...

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Q: Find the equation of the tangent line of y = 4e* at xo = 0. (Use symbolic notation and fractions whe...

A: y=4exSubstitute x=0y=4e0=4The point is (0,4)

Q: Find the gradient of f (x,y,z) = e^(x+y) cos(z) + (y+1)tan^(-1) (x) at the pint (0,0, pi/6) Alternat...

A: The function is given by fx, y, z = ex+ycosz+y+1tan-1x The point is x, y, z = 0, 0, π6 To evaluate: ...

Q: Find the Taylor polynomials of orders n = 0,1,2,3, and 4 about x = x0, and then find the nth Taylor ...

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Q: Let F(x,y,z) = (y,x²,zy) where C:R(t) = (cost,sin t , 3t) and t e [0,2]. Evaluate %3D %3D •dR

A: We have to find value of given Integral.

Q: ,7x+4 dx = хе

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Q: 1 dx x/1+ x6

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Q: If y = 3x3 + 2x and dx 5, find dy when x = 2. %3D %3D dt dt dy dt %3D

A: Given, y=3x3+2x  and dxdt=5 We have to find dydt when x=2  

Q: Two cars start moving from the same point. One travels south at 24 mi/h and the other travels west a...

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Q: Convert the point (1, , V3) from cylindrical to spherical coordinates. A. (2. 5. 5) 4' 6 В. 2,

A: To convert cylindrical coordinates (r, θ, z) to spherical coordinates ( ρ, θ, φ) we use following fo...

Q: 5. Given that r(t) = 3i + e* sin tj + e cos tk Find equations of the normal plane and osculation pla...

A: We have to  find equation of normal and oscillating plane of above curve. 

Q: Question 1 2r³+5x²– 4 Evaluate xp- 4 2r²+ 5x+ -+C 4 B x²-5x-+c x- 5x + -+C D x²+5x+ -+C

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Q: Determine (with proof) if the following series is converging absolutely, converge conditionally or d...

A: This question is related to behavior of infinite series, we will solve it using Ratio Test. 

Q: Describe the surface of 4z2 – 4x² – y = 4 - |

A: The general equation of a  hyperboloid on two sheets is given by x2a2-y2b2-z2c2=1 notice that there ...

Q: Find 7(t)dt if 7(t) = (2 cos t, sin t, 2t). A. (2-1.) B. (2.0,) c. (2.1) D. (2.2. ) 2, –1, 2,0, E. n...

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Q: So* - y-³) dy 2.

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Q: Let z = 6exv , find dz %3D

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Q: 4 sin320 cos20 d0

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Q: Find the derivative of y with respect to x. y = sec 1(3x? + 1), x>0 dy dx II

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Q: Use the difference an+1 – An to show that the sequence {n – 7"t00 is strictly increasing or strictly...

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Q: Evaluate the following integrals. 1. 4.x3 sec-1 æ dx cos VT dx x Csc Vx 2. dx V4x – x2 3. -

A: Given problem:-

Q: ax ve

A: To evaluate: I=∫dxex...(1)

Q: 9. A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in ...

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

Q: Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a.  o...

A: 4 Find the directional derivative of f (x,y)= 2x^2 y^2 -3xy at the point (1,-1) in the direction a. ...

Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0...

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Q: Let {xn} be a bounded sequence on R. Show that Xn lim = 0. n→+∞ N

A: Given sequence {xn} is bounded we want to show that  limn→+∞xnn=0 we  use the limit limn→∞1n=0

Q: Which of the following is the particular solution to the differential equation 2ydx + 3xdy = xy³dy w...

A: This is a problem related to differential equation. There is so many concept and formula available f...

Q: lim f(x) r→-2

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Q: 2x -dx e* +1 Evaluate the integral of A e*- In(e*+1) +e B '+ In (e* + 1) + c © e*+ In(e*+1) +c D In ...

A: Given problem:-

Q: 3. Consider the function f(x), whose graph is shown below. Determine the limit of a function, by obs...

A: The limit exists at a point means that ..... LHL left-hand limit of the function should be equal to ...