(3x-3) dx (x²-2x+1)(x²+2x+8)

Q: What is the equation of the plane that is tangent to the graph of z = x coS y – ye“, when (x, y) =…

A: Equation of the plane tangent to the surface z=f(x,y) :               Let   F(x,y,z) =0 ,then…

Q: 5 4 3 1 T1/2 3T/2 -1 -2 -3 -4 -5 The graph of the function f(x) given above for the interval a E [0,…

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Q: Let floo) = 0e 5 and gloo) = 2a19 Detemine Cgof) (x) 2079. %3D %3D

A: Topic:- function

Q: The graph of f'. 2+ 1- (2,0) -3 4 -3 ±1+ -2+ (-2,-3) (2,-3) 5. The graph of f', the derivative of f…

A: We have to find the value of f(5).

Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y°x²j+2z²yk. %3D div F= curl F=

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Q: Evaluate the integral (8x +12y)dx + (9x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

A: Topic:- integration

Q: Sketch the region R and evaluate the iterated integral F(x, y) dA. (1 - 2x + 8y) dy dx 2.0- 2.0 1.5…

A: A detailed solution is given below

Q: If the function f(x) is continuous in the interval [2,8] and f(2)=-7 and f(8) = 9, %3D then which of…

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Q: ||r'(t) × r"(t)|| ||r(t)||³ Use the formula k(t) to find k(t). r(t) = 2 cos(4t)i+ 2 sin(4t)j + 9tk…

A: We have to solve k(t)

Q: Which equation represents the graph shown below? 350 300 250 200 150 100 50 -40 40 80 120 160 200…

A: The given graph is of sin x.

Q: 3. If dt , find g'(2). 5. g(x) =

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Q: Determine whether the improper integral diverges or converges. In x xp O converges O diverges…

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Q: Evaluate 3+x lim,→4 (c-4)(x+2) O +∞ O 1 8.

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Q: 2 4 Find an equation of the normal line to the curve 3x¯y' – x°cos(ny) + 4x + 2 = 0 at the point…

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Q: cos(2x)– cosx sin x 4. lim, »o

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Q: 2 2. Find an equation of the plane containing the point P(0, -) and the line determined by the two…

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Q: 3 if x 2 the one-sided derivatives of f at x = 2 whether f' (2) exists. If it exists, specify its…

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Q: d'y Find dx? 2 y = (2а-3)? dy 48 dx? (2г - 3)" O dy -12 da? (2г- 3)" O d'y 12 dx? (2a-3) dy -8 da?…

A: y=2(2x-3)2

Q: (2x – 3y) dx + (2y – 3x) dy

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Q: Consider the following functions. f(x) 3 Vx - 3 g(x) = x – 3 %3D Sketch the region bounded by the…

A: Let us first find the intersecting point. So,               x-33=x-3⇒x-3=x3-9x2+27x-27⇒x=2, x=3, x=4…

Q: Evaluate F. dr. F(x, y) = xi + yj C: r(t) = (9t + 4)i + tj, 0 sts 1

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z =…

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Q: Describe the graph of the equation. r = (7 – 21) i + 10r j | O It is a line in 2-space through the…

A: The given equation is: r(x,y)=(7-2t)i+10tj⇒x=7-2t    y=0+10t

Q: Find div F and curl F if F(x, y, z) = 7y°z®i – 5æ³z10j – 7xy°k. 3„10. div F= curl F=

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Q: View Policies Current Attempt in Progress Find curl (6z i + 7x j + 9y k). curl (6z i + 7x j + 9y k)…

A: Solution:

Q: Evaluate the derivative of the function: x2 f(x) = ( x²+1 8x (æ²+1)° O 8a(a² –1) (2²+1) O 1 4x…

A: Use the chain rule for finding the derivative

Q: d²y of the following equation then simplify whenever possible. 3) Find and dx dx- x = 3em y = 4e-m

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Q: Let S1 be the hemisphere with Cartesian equation z = 6 – /36 – x² – y? and S2 be the upper nappe of…

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Q: /hat is the area of the region bounded by the graphs of æ = y³ – 2y and DA = (3x – x² )dx DA = (? –…

A: Topic:- application of integration

Q: Determine the value of the Wronskian W (y1, Y2) of y" – 2y +1 = e2 (x +1) if x=1.3 by using…

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Q: 3 da Evaluate a+2 A. 3 B. 2 С. 1 D. 0

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Q: Find the standard equatron of the sphere with the given chara ct eristics center:(-1,7 9) radius: 6

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). 3 r(t) = 11 cos(4t)i+ 11 sin(4t)j+ tk K(t) =

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Q: 3. Find the area of the region inside the circler-3 sine and outside the limacon r= 2 - sine. Sketch…

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Q: Find the four second partial derivatives. Observe that the second mixed partials are equal. z =…

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Q: (4D* – 4D³ – 23D² +12D+ 36)y = 0

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Q: Let F(t) = * F(e)dt (dont include the «C) Fine Question Help: D Video Add Work

A: We know, ∫tndt=tn+1n+1 ∫-sin-tdt=∫ddt-cos-t=-cos(-t)

Q: A stone is thrown vertically upwards, from the edge of a 5 m tall cliff with an initial velocity of…

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Q: Match the vector field with its graph. F(x, y) = yi -6+ 世 -5+

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Q: Match the equation with its graph. 16 56

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Q: Suppose that the number of employees in a new company is expected to grow, with the number of…

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Q: sin (xexz +3y5+3x"-x 3

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Q: Evaluate the definite integral. Using Fundamental Theorems of Calculus. (x?2 - х) dx x2 + x +1

A: ∫01x2-xx2+x+1dxit is a improper fraction ( degree of Numerator= Degree of denominator)Using long…

Q: POSSIBLE P 20 22 24 26 28 h(x) 10 14 11 17 15 9. The table above gives select values of the function…

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Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly.…

A: Here we have to use green's theorem.

Q: Find div F and curl F if F(x, y, z) = xz°i+ 2y'x²j+ 2z²yk. %3D div F= curl F=

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Q: n-1 (-3)' is convergent or divergent. If it's convergent, b) Determine whether the series 4" n=1…

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Q: n 1) Use the Integral Test to determine whether the series is convergent or divergent. n² +1 n=1…

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Q: Given Sla- 3| 3 x – g(x) = What is lim,3- 9(x) ? x- 9- O O 1 O -1

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Q: Match the vector field with its graph. F(x, y) = xi + 3yj -st

A: Plot the given vector Fx,y=xi+3yj.