For problems 3- 4 determine the angle between the two vectors. 3. p 9i-j, =-37-6j

Q: Evaluate (2x - y) dx + (x + 5y) dy.

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Q: 2.) f x²(2x³ + 1)5dx

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Q: Find div F and curl F if F(x, y, z) = 17y®z*i – 8x'z®j – 4cy°k. %3D - div F= curl F=

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Q: Find the area of the inner loop of the curve r= 1-2cos θ

A: For the inner loop of the curve 1-2cos θ=0⇒2cos θ=1⇒cos θ=12⇒θ=cos-112⇒θ=π3,5π3

Q: Use a triple integral to find the volume of the solid shown in the figure. z = 16 – x2 - y2 130 10…

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Q: A graph of f(x) is given below. Let F'(x) = f(X), (a) What are the x-coordinates of the critical…

A: Given graph of a function f(x)

Q: b. In x? dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: 3 Evaluate the integral c Ħ A) 1 B) 77 c) - Ť tan?xdx E)ユ-

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Q: For the given vectors a and b, find the cross product a x b. =(3,0, -1), b = (3, 2, 0) a %3D a x b =

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Q: Find the particular solution of the DE y''-11y'+24y=0 when y(0)=2 y'(0)=-3

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Given query is to find rolle's theorem can be used or not.

Q: lEvaluate the integral ×+ス de . x²+2x linlx?Cx+z)e X+2 (x+2)²|&7C Dinlx (x+2)I +c E) Inl x て) 12

A: Topic = Integration

Q: (2))? dz: Consider the indefinite integral a) This can be transformed into a basic integral by…

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Q: F(x) = (3t +2) dt +2

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Q: 6. lim (sinx)*

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Q: 2. lim (e* – 1)lnx X0+

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Q: 2. Find the orthogonal trajectories of the family of parabolas y = cx O In(x² + y² ) = c O 2r? + y²…

A: Explanation of the answer is as follows

Q: Write the binomial expansion for the following expression. (1*+1) 5 (1* +1)° = (Simplify your…

A: To write the binomial expansion.

Q: tanx dx I+x?

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = 5x2…

A: To write down that it satisfies the mean value theorem or not.

Q: 1. Find the area enclosed by the given curve, the x-axis, and the given ordinates (a) The curve y =…

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Q: for x[z] given by z1 x[z]: 1-z2 then X[00] equal to Select one: a. 0.5 b. 0

A: B is the correct option.

Q: Let f(x) = 2(x − 1)^2 (2x + 1) be a function. Find all critical numbers of the function and…

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Q: Find curl (7z i + 8x j + 9y k). curl(7z i + 8x j + 9y k) = ( i )i + ( i )j + ( i )k

A: This question is related to vectors, we will solve it using given information.

Q: 19. e dr

A: Topic = Integration As per guidelines , At a time only one question can be answered. please repost…

Q: Evaluate the vector-valued function at each given value of t. (If an answer does not exist, enter…

A: We have to find the values of vector valued functions.

Q: Evaluate the line integral along the path C given by x = 2t, y = 6t, where 0 sts 1. (y - x) dx +…

A: This is a problem related to integral of the function. Based on the general formula and concept we…

Q: 6. Find y = f(x) given d²y = 5x? + 2 dx2 %3D

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Q: (b) The curve y = x +3x, from x 1 to x = 3 (c) The ,2 1 from 2 to g

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Q: ind the volume of the shaded region when revolved about the indicated axis. 21 * = V7+y 14

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Q: 2. dy dx

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Q: 2. SET-UP the definite integral that will give the area of the region specified using (a) x as the…

A: Area

Q: -Find Taylor or Maclaurin for the following functions: 3) 2) f (x) = e* at a = 2

A: A detailed solution is given below.

Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

A: Cost

Q: dr J z(x+1)² 14.

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1 +1 dz 7. Ji Vz -1

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Q: Barbara put P100 into banks savings account. The account accrues a 9% interest rate compounded…

A: Given: Amount =P100 . Rate of interest= 9%  Time n= 12 years

Q: Without graphing, find the horizontal and vertical asymptotes, if any, of the curves. Show your…

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Q: Evaluate the iterated integral. NOTE: Enter the exact answer. yz da dz dy = -36 J-24

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Q: For problems 1- 2determine the dot product, a-b. 1. ā = 9ĩ -8k , 5 = (3.-2.1) 2. and the angle…

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Q: Describe the applied transformations from y = 32 to %3D graph the function g(x) = -2(3)-2x-6 + 9 %3D

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Q: Find V · (V × F), if F(x, y, z) = 2e"²i+ 2xe"j – 9ev²k. V· (V × F) =

A: Given F(x,y,z)=2exzi→+2xeyj→-9eyzk→ To find, ∇.(∇×F)

Q: Solve the following differential equations of yy' + y' = x;

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Q: he Taylor series for fx) centered at the given Val f(x) = x- 6x2 + 2, a = 2 %3D E"e(x- 2)" = -6 +…

A: Taylor series

Q: Find the area bounded by the curve y = 9 - x2 and the x-axis. a) Horizontal Strip b) Vertical Strip

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Q: H.W: Evaluate the integral 3 0 | (x?y- 2xy)dydx 1. 0 -2

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Q: Evaluate the indefinite integral. (Use Cc for the constant of integration.) |

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Q: 13) which of the following Series convenge' 7n Ci) In hzg

A: i)∑n=1∞ 17nThe series diverges by p-series test.(∑n=1∞ 1np converges only when p>1)=17∑n=1∞…

Q: Find curl(7z i + 8x j+ 5y k). curl (7z i + &x j+ 5y k) = ( i )i + (i )j + ( )k

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Q: 6. lim (sinx)* X0+

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