12t – cos 31) dt sin7t sin4t dt = A True B False

Q: dx = x(1 – y) dt dy у(х — 1) dt

A: Solution of the problem as follows

Q: Q4) Find plane area inside the polar function r = 2sin E-0) and outside T= sin in-e) in first…

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Q: Find the saddle point/s of the function f(x, y) = x² + y° + x®y+ 4 O a (4,0) & (-4,0) O b.(E -1) &…

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Q: None c) cosh x + C sinh x +C 2 sinh x +C cosh x +C

A: The given integral,      12∫ex-e-xdx

Q: Q3) Evaluate triple integral (x2 - y?)dz dx dy.

A:

Q: Q2) Convert the polar functionr tan20 to cartesian.

A: Here we have to convert the polar function r=tan(2θ) to Cartesian.

Q: Find f"(-1) if Ax) = (x). -6 O -5 O 5

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Q: 4 4-y Q3) Evaluate triple integral , S S dz dy dx

A: I have stated the used formulas in the solution

Q: Obtain the general solution unless otherwise instructed A. LINEAR EQUATIONS WITH CONSTANT…

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

Q: Use the difference table to predict the next term in the sequence. Show your complete formula.  1.)…

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Q: Learning Competency: illustrate an antiderivative of a function. Question Is S Gx2 + 5x + C)dx = 3x…

A: Given,             Is ∫32x2+5x+Cdx=3x+5 correct.

Q: Find the volume of the solid formed by revolving the region enclosed by the closed curve 4x² + 9y² =…

A: As per given  We have to determine volume of solid

Q: 5.Find all the first partial derivatives of each function f (x,y) =(2x– y)* а. 3/2 S(x, y)= (4x–…

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Q: Find the Area bounded by the curves y? = x and x = 2y – y².

A: Draw the graphs of the given curves and mark the intersection area.

Q: Q3) Evaluate triple integral (x - y²)dz dy dx.

A: tripple integral  First we will integrate w.r.t z and then w.r.t. y and then w.r.t. x.

Q: Which of the following limits has a value 0? In x I. lim II. lim X-0 e* Neither I nor II. O l only…

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Q: Which of the following yields the value 3187 (8r+7y)dudy (8r+7y)dydr (8r+7)dudy O none of the oices

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Q: Find the volume of the solid that results when the shaded region is Y = x revolved about the…

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Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y = 9x² + 16

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Q: 9. If f (x,y,z) = 3x²y – xyz + y²z? _Ifind each of the following: fy (x, y,z) C.

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Q: y = Vx* X

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Q: Determine the equation of the tangent to the graph of y=x - 3x +x+3 at the point (- 1, -2). y 10x+ 8…

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Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: The water is leaking at the rate of π/2 m³/min.

Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

A: we all know that dxndx= nxn-1. and first derivative dfxdx=f'x and second derivative df'xdx=f''x and…

Q: We are told that the sand is falling onto the pile at rate of 9 cubic feet per minute. We want to…

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Q: Check the continuity of the function f(x). Explain why f(x) is continuous or not. x+1 =,x x2X > 1

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Q: Consider a continuous function f(x). The function has critical points at x = -7, x = -2, and x = 7.…

A: f(x) has critical points at x=-7 , -2 , 7Since f''(-7), f''(-2) is positive ⇒There is local minimum…

Q: to this answer. Evaluate the left-hand limit of as f (x) = x8. 16-2x O 1/2 O -1/2 O undefined

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Q: Find the general solution of (2x – y) dy = 2y – x - da

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Q: Find the AuRtaYe value of f(x) = x* on the intervai 2,67

A: answer is in next step

Q: The height of a ball t seconds after it is thrown upward from a height of 5 feet and with an initial…

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Q: Let r(t) = (t', 1- t, 4t). Calculate the derivative of r(t) - a(t) at t= 4, assuming that a(4) = (9,…

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Q: Find the area of the part of the sphere x2 + y? + z² = 4z that lies inside the paraboloid z = x2 +…

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Q: The limit below represents the derivative of some function f(x) at some number a. 3(3 + h) - 243 lim…

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Q: Determine whether the line and plane intersect; if so, find the coordinates of the intersection. (a)…

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Q: Supply the missing steps on equation below x•dy (x² + y² ³/2 Hol 2a B 47 xVx² +a² -a

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Q: Consider the following function and dosed interval. fx) = x2/3 - 1, [-27, 27] Is f continuous on the…

A: F(x) is not differentiable on (-27, 27)

Q: 1. Water is being poured at the rate of 2 n m³/min. into an inverted conical tank that is 12-meter…

A: Let's find.

Q: Water is pouring into a swimming pool. After t hours, there are t + sqrt(t) gallons in the pool. At…

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Q: Find the value of x such that x satisfies the mean-value theorem at the interval [0. 1] for the…

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Q: Q5) Find volume of body bounded by z = 0 from below and z = 4 – y from above inside y = x? ,y = 4 .…

A: Given

Q: 1.) f (x) = 10x10 4.) f (x) = %3D 2.) f(x) = x² – 9 5.) f(x) = 2x² + Vx 3.) f (x) = –x5 – x-3 – - x

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Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: Consider --e +y?). 3+3² Evaluate dxdy

A: We have to find partial derivatives for the given function.

Q: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt, evaluate F(1),…

A: Given: Now,          F(1)=∫11tt+1dt=0. Here,               F'(x)=xx+1⇒F'(1)=2 Further,…

Q: Evaluate the following integral using Trigonometric Substitutions Method: 1- x dx 2 y =

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Q: Evaluate f s 2°ds О а. 2"(sin2 - 1) (In2)2 O b. 2(sln2 - 1) (In2)2 O C. 2* In2 O d. 25 In2

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Q: .4 4-y Q3) Evaluate triple integral , S S dz dy dx.

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Q: Given Ax) = - 2 use the first principles definition to find f'(1).

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Q: 4 r4-y Evaluate triple integral , S S dz dy dx -2

A: We have to evaluate the triple integral  ∫-22∫x24∫04-ydz dy dx.