4-Z 4-z-2y k √ ₁² √²-²² ² -² -²y xyz²dx dy dz = 1 2 0 0 0

Q: Find the point on the curvey=+x where the tangent is parallel to the line y = x.

A: The slopes of parallel lines are equal.

Q: the following operations and simplify the results. State the domain restriction in +5x-14 2+8x+7 ÷…

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Q: 2. Prove that (₁ + ²)" is convergent by using the Monotone Convergence Theorem.

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Q: 7. Point (4, 6, -7) Perpendicular to n = j

A: Given that the equation of the plane passing through the point (4,6,-7) and perpendicular to n=j we…

Q: Solve Cauchy problem for the non-homogeneous equation: 4 y" +4y' + 3y = 3x, y(0) = − ½, y'(0) = ²

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Q: Using the graph of f'(x) find the increasing/decreasing intervals of f, points on  axis which f has…

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Q: 9x Find the Maclaurin series of e 10

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Q: A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off…

A: Radius= 6 cmHeight= 9 cmChange in radius is 0.03Change in height is -0.06

Q: 2. Find the domain and range for these functions: -2-1 y=fle

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Q: Use the ratio test to determine whether an+1 lim n→∞ an (a) Find the ratio of successive terms.…

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Q: y² 7. Use a double integral to find the area between x = 2y and x = 3 Sketch this region.

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Q: Consider the following graph of f (x). Which of the following are inflection points of f (x)? -3 O…

A: We have to find the coordinates of the inflection points from the given graph of function.Let's…

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Q: Compute the electric charge on the surface which is the portion of the cone z = √√3x² + 3y2 in the…

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Q: 11. The quadratic function y = a (x - b)² + c passes through the points (-3,0) and (5,0). Its…

A: Question No. (11): The quadratic function passes through the points . Its maximum valueis 32. To…

Q: Determine the amplitude, midline, period, and an equation involving the sine function for the graph…

A: A graph of the trigonometric function is given.The aim is to find the equation of the graph.

Q: The function f(x) = x 4 has a Taylor series at a = 1. Find the first 4 nonzero terms in the series,…

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Q: The total cost in dollars to produce q units of a product is C(q). Fixed costs are $14,000. The…

A: The total cost in dollars to produce q units of a product is C(q)Fixed costs are $14,000

Q: didnt work

A: We have to find the rate of change of difference of temperature.

Q: Given the geometric sequence: 20 3 find a formula for the n-th term: ao = 2, a₁ a1 = , a2 = 200 9…

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Q: Find an equation of the line tangent to the following curve at the given point. 2 5x 3' 6 y = T= 1…

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Q: The vector field F(x, y) = (-y sin(xy), -x sin(xy)) is the gradient vector field of the function…

A: find r(t) at t=2,t=0

Q: A $225,000 adjustable-rate mortgage is expected to have the following payments: Year Interest…

A: The objective of this question is to calculate the total cost of both adjustable-rate and fixed-rate…

Q: Which of the following represents the limit definition of the definite 16 integral 26 4x5 dx using a…

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Q: Determine the critical numbers, if any, of the function f. f(x) = 3x² + 3x³ - 54x² - 81x + 21 Give…

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Q: The graph of the derivative of f is shown below: -y-5 4 -3 -2- -1- 0 1 2 f'(x) 3 4 f', the…

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Q: Use the identity 2 sin æ cos x = sin(2x) to find the power series expansion of sin² x at x = 0.…

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Q: 6. A particle moving with the velocity function v(t) = t²-3t+2,0 ≤ t ≤ 4. Find (i) the net distance…

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Q: Can you please answer question e and g?

A: e) From the graph it is clear that:LHL = Left hand limit at x=3: limx→3− f(x) = -4RHL= Right hand…

Q: Let f(x) [0, 2π). = To enter , type Pi (with a capital P) sin x. Determine the x-value(s) where the…

A: The given function .The aim is to find the value of  in the interval  for which the function has…

Q: 4x Suppose that Σε (9+ x) n=0 Find the first few coefficients. =

A: 4x(9+x)=∑n=0∞cnxnWe know that the Mclaurin series of 11+x11+x=∑n=0∞(−1)nxn

Q: Solve the following triangles: (a) a = 10, b = 8, c = 7 (b) A = 90°, B = 20°, a = 7; (c) A = 58°, a…

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Q: The polynomial p(x) = 8x³ - 18x² + 7x +3 has exactly 3 zeros. If p(1)= = 0, use synthetic division…

A: Given that the polynomial

Q: 8 7 5 3 2 1 0 1 2 3 (a) The integral f's f (x) dx -f(x)- 4 5 f (x) dx. Round your answer to the…

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Q: Find a power series representation for the function. (Give your power series representation centered…

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Q: Let T be the tetrahedron with vertices (4, 0, 0), (0,5, 0), (0, 0, 2) and the origin. Write [ ] [,…

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Q: In each of the following cases, find the value of the constant c so that the function f(x) is…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: - t+t² g(x) = √3x +z-t dt 1

A: g(x)=∫13xt+t22−tdtProperty of definite integral∫abf(x)dx=−∫baf(x)dx

Q: Find the exact value of each of the following under the given conditions. 6√85 85 5 sin a = 13 (a)…

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Q: A = 90°, b =6, c = 8

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Q: Use implicit differentiation to find the equation of the tangent line to the function defined…

A: The given equation is; 6x2+2x4y5=8Point (-1,1)

Q: Find u x v, v x u, and v x v. u = (-6, 2, -7) v = (-2, -5, -3) (a) u x V 29i+ 4j + 26k (b) V x u…

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Q: Find the average value of the function g(t) = 1 + t over the interval [0, 4].

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Q: 2. ₁²√xydydx = ²√xdx √ydy

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Q: b) 9-x² x²+4x+4

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. a.…

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Q: Reverse the order of integration and then evaluate [ [ 5y dy dx.

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Q: c) 4-x² 2x²-5x-3

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Q: Combine the integrals L 19 if (6² 1 (3x3-4x²+6x-2) dx + 7 1 into one integral 2 (6x4–3x³ + 10x²+ 8x…

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Q: Find the Maclaurin series of e 00 1 0

A: The given function