π 0 4 18. S (sin x − 1)dx + f (cos x + 1)dx π 0 4

Q: f(x, y) = xy + 64 64 + x Y

A: The given function is:

Q: Find two positive numbers x and y such that xy = 162 and 6x + 3y is minimized. X = y =

A: Given:          xy=162         s=6x+3y

Q: Write v as a linear combination of u₁, 2, and u3, if possible. (If not possible, ente v = (7, -9,…

A:

Q: The profit P (in thousands of dollars) for a company spending an amount s (in thousands of dollars)…

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Q: FIND THE POINT (S) ON THE GRAPH OF y = 4-x² CLOSES THE POINT (0,2). to

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Q: Find the angle between the vectors, approximate your answer to the nearest tenth: v = (-3,-2), w =…

A: The solution is shown in step-2

Q: how does b2 = b1 + 2(x/2)

A:

Q: A The expression sin 30 can be rewritten as 3sin 0 - 4sin³0. O True False

A: Given statement,

Q: What is the slope of the curve y = 2 cos x at x = -1 1 -2 2

A: The given function is,

Q: 2 Solve the following DE: (y +4x)y' = 2y = x

A:

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-5, 0,…

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Q: Find fx (x,y) and f(x,y), and explain why f(x,y) has no local extrema. f(x,y) = 8x + 5y + 3.

A:

Q: The vectors that make up the sum of two vector components are parallel to each other. O False True

A: The given statement is false.

Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

A:

Q: Question 1. A dentist office wants to purchase a cylindrical tank to store water in. Once the tank…

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Q: Solve the following equation for c. 11-c-x-1-x²-y 0 0 C dx = dz dy dx = 4 15

A:

Q: Consider the following vector field. F(x, y, z) = 3xye²i+yzexk (a) Find the curl of the vector…

A:

Q: 10. A ladder is slipping down a vertical wall. If the ladder is 13 ft long and the top of it  is…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Find the unit normal vector N to r(t) = (t, cos(t)) at t = = 19. (Use symbolic notation and…

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Q: If u = 2i - j; v = -5i + 4j and w = j find -2u. (v + w). * Student can enter max 2000 characters…

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Q: A hot-air balloon is held at a constant altitude by two ropes that are anchored on the ground. One…

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Q: Find all solutions to the equation: csc²(x) - 6cot(x) = -4.

A:

Q: Let f(x) = 2x² + 8x − 5. a. Find the values of x for which the slope of the curve y = f(x) is 0. b.…

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Q: Use suitable sum-to-product formulas to rewrite the following expression in terms of tan3x. sin 2x +…

A: The given equation .We have to rewrite this expression in terms of .

Q: 2. Evaluate the limit if it exists. If the limit does not exist, answer with either +∞, - (a) (b)…

A:

Q: Show that the function f(x) = x + 5x + 1 has exactly one zero in the interval [-1, 0]. Which theorem…

A: Given functiin is f(x) =x4+5x+1.Now to check there is any zero in the interval [-1, 0] we use…

Q: Determine which set of vectors is not orthogonal. n tonight F1 ! O V = 5i; w = 2i v=8i +4j; w=i-2j…

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Q: 2 FIND THE DIFFERENTIAL dy if f(x) = xsin 2x. dy AND Ay WHEN X= πT AND dx = 0.1 Ax= dx = Ay= dy =…

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Q: Find the exact distance between the skew lines = (-3,-2,4) + t(1,-1,1) and p = (1,3,0) + t(-2,-3,3)

A:

Q: b) y = ex³+cos x

A: To find the derivative of the following function.

Q: λ₁ = For each eigenvalue, find the dimension of the corresponding eigenspace. (Enter your answers as…

A:

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

A: The given parametric equations of line using bracket notation and also using i, j, k notation

Q: The following triangle depicts the case of the Law of Sines (AAS). 40⁰ B O True 22.5° O False

A:

Q: Let f(x)=√x. (a) Evaluate the following limit algebraically. Show all your work. f(1+h)-f(1) h lim…

A: Concept used

Q: 42 - z + ^ − z^ - IՒ 05 lim

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Q: Use the Intermediate Value Theorem to show that the equ (77) = ecos(7 (0.1) sin

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Q: 3 The slope of the tangent of the function f (x) = + 3x at x=2 is I 9/4 -5/4 -5 5

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Q: 5 Z E A G C H 5 y

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Q: Use the following function and its graph to answer parts (a) through (d) below. Let f(x) = 5-x, x3.…

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Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

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Q: b. If Ax has a zero entry, then A has a row of zeros.

A: Given:- Ax has zero entry

Q: Express the given parametric equations of a line using bracket notation and also using i, j, k…

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Q: Find the eigenvalues of the symmetric matrix. (Enter your answers as a comma-separated list. Enter…

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Q: If v = 9i - 5j, find -2 ||v||². Round your answer to the nearest tenth, if necessary. O -20.6 -212…

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Q: Evaluate the following integral in cylindrical coordinates. 8 √64-x²√x² + y² s s S S S (x² + y²-1/²…

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Q: Find the minimum cost of a rectangular box of volume 160 cm whose top and bottom cost 6 cents per…

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Q: Using the appropriate sum-to-product formula, the expression cos4x- cos3x can be rewritten as cosx.…

A: The given expression is,

Q: Use the Law of Cosines to solve for the largest angle in the triangle with the given measures. Round…

A: The largest angle in a triangle is opposite to the largest side of the triangle.In a triangle with…

Q: Use the Law of Sines to solve the following triangle for c. Approximate your answers to the nearest…

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Q: Use Lagrange multipliers to find the absolute maximum and minimum values of the function f(x,y) =…

A: We have to find the maximum and minimum values of given function.We will use Lagrange's Multiplier…