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Q: Find V. (F x G), if F(x, y, z) = 3xi +j+ 10yk and G(x, y, z) = xi + yj – zk. - V. (F x G) =

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Q: Evaluate and simplify: 4sin(4)- csc(-) 2 A 1-2/7 B 1+2/7 -1-2/7 D -1+2/7

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Q: Solve the exponential equation algebraically. Approximate the result to three decimal places. 2(3*)…

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Q: . Find all relat/ve extremo and saddle points of the runcton. Use econd Partials Test where appliı…

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Q: Fill In The Blank Refer to the given below. Find the indefinite integral. Simplify your final…

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Q: A large corporation with monopolistic control in the marketplace has its average daily costs, in…

A: Let's find.

Q: n What is the closed-form expression for the series 2 (k-2)², k=1 37 A + 6 n³ -n²+ 13 B 6 6

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Q: Let f, g: R → R defined by if x 2 1 ) = {2x –1 ifx< 1 f(x) = and g(x) = 3x + 2. a. Find f-1 and g-1.…

A: ( f○g)(x) = f(g(x)) (g○f)(x) = g(f(x))

Q: The study of integrals in calculus is motivated by the problem of calculatin (a) the slope of a…

A: Study of integrals in calculus is motivated by calculating the area of a region bounded by curves.

Q: 3. [sinh ot e"dt Ans.

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Q: x3-4x-10 dx. x2-x-6 (2x + 2 In|x – 3| - 4 In |x + 2|) + C - 2 In|x – 3| + 4 In |x + 2l) + C Option 1…

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Q: 2r-4x2-x-3 dx x- 2r 3 In Ix+ 1 +3 ln|x-3| + C +1-3 ln|x-31+ C Option 1 Option 2 2 In |x + 1| - 3…

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Q: Use the properties of the derivative and the given vectors to find the following. = ti+ 8 sin(t)j +…

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Q: A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it…

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Q: Evaluate the definite integrals. (4 significant figures) cosec-4t dt 9. SET A.

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Q: 13. Compute the Laplace Transform of f(t) = t°e" +e* sin3t. 4 1 A) (s+ 2)'s² +4s + 13 2 B) (s –…

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Q: 2x (x – 3)² A = 6, B = 2 A = 2, B = 6 A = 2, B = - 6

A: The given integral is 2x/(x-3) 2.

Q: Find the area of the region enclosed by y 3.5x and a = 6 – y?. Use horizontal strips to find the…

A: Given

Q: 1. The study of integrals in calculus is motivated by the problem of calculating (a) the slope of a…

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Q: P1. 18. Which of the following is true? Select one: O a. AxB is the same as BxA O b. If vector A is…

A: Vector

Q: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

A: A right circular cylinder has a radius increasing at the rate of 4 cm per second but its total…

Q: Diego knows that 82 64 and that 4° = 64. What other statements are true? O V64 = 8 O V64 = 4 O…

A: We can find the true  statements as below.

Q: Find the directional derivative of the function

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Q: 2. Integrals containing sin u cos v can be solve using identity. (a) Double-angle (b) Half-angle (c)…

A: Let's find.

Q: 1

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Q: d Find [r(t) · u(t)] and [r(t) x u(t)] in two different ways. dt dt r(t) = ti + 2t2j + t³k, u(t) =…

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Q: y= e. tan ba Solve for y where a and b are constants. Express you

A: Solving

Q: A box with an open top and a square base must have a volume of 32 cubic meters. How do you find the…

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Q: A particle moves vertically (in inches) along the yaxis according to the position equation s(t) =° –…

A: We have to find value of t

Q: Find the solution of y' = 2(2x-y) which passes through the point (0, -1) the answer should be y=2x-1

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Q: 2x (x- 3)2 .

A: Given: ∫2xx-32dx

Q: Let s(t) (2)a v(t) = Where does the velocity equal zero? [Hint: factor out the GCF] 4+12t2 36t be…

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Sh dx

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: Investigate the convergence of the following series. H.' 2n+5n 2) ΣΗ-1 ILJ! 3n

A: Here, the given series is: ∑n=1∞2n+5n3n Let, an=2n+5n3n; n≥1

Q: Prove that n2 +1 > 2? when n is a positive integer with 1<n<4.

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Q: test conerg ence and divergence h!

A: We can solve this as follows:

Q: Calculate the arc length of the curve f(x)=(2/3)(x²+1)ª2) in the interval [–1,1]

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

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Q: Which among the following is false for getting the derivative of an implicit function?

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Q: Suppose a product's revenue function is given by R(g) is units sold. 5g? + 500g, where R(g) is in…

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Q: Consider the function f(x) whose second derivative is f''(x) = 9x + 4 sin(x). If f(0) = 2 and f'(0)…

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Q: Problem 4. Explain whether or not the following sets are subspaces of the given vector space +6] -b:…

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Q: Which of the following is undefined? cot() 131 A B sec(630") tan(-14n) D csc(-810")

A: Find which of the following is undefined.

Q: Evaluate the improper integral |. 3.x dx or show that it diverges. +1 x?

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Q: Find the average value of the function f(x,y)=eˆ(y/x) over the region bounded by y=x, the x-axis and…

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Q: Find the first derivative of the function below: f(#) = cosh(cot(z² – 2x – 7)) %3D

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Q: 1. Find all relative extrema and saddle points of the functon Use econd Partials Test where appli…

A: In given problem we have to find out relative minimum of given function for which first we find out…

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: Let f (x, y, z) = xyz. Determine the value of fryy + fyay – 2 fyyr Simplify your answers.

A: We have to find the value.

Q: Verify Green's Theorem by evaluating both integrals ам y? dx + x2 dy dA ay for the given path. C:…

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