Given the parametric equations below, eliminate the parameter t to obtain an equation for y as a function of x x(t) = e5t | y(t) = e8t y(x) =

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Q: 00 Š 00 dx dy (x2 + 64)(y2 + 16)

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Q: Find the sum of each series. Explain your answer in details. a) 2+0+(−2)+(−4)+⋯+(−38)

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Q: Find an antiderivative F(x) with F'(x) = 7x³ + 14x + 4 and F(0) = 1. F(x) =

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Q: 5. Let A, C 0 and A# C. Solve for x A(x + B) = -C(x - D) +2

A: The given equation, Ax+B=-Cx-D+2, A,C≠0 and A≠C. We have to solve this expression for x.

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A: We have to find the limit:limx→0 25-x-5x

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Q: What is the point ony = 2√x A (2√2.244) B (4,4) (2.2√2) that is nearest to (4, 0)?

A: Topic - Application of differentiations We are given an equation of a curve as y=2xand a point as…

Q: 3 [(5x² +9) dx 0 3 (1) (5x² +9) dx = (Type an integer or a simplified fraction.) 0

A: ∫xndx=xn+1n+1+c∫03(5x2+9)dx=5∫03x2dx+9∫03dx

Q: 16(0.64)n-1 n = 1 O convergent O divergent If it is convergent, find its sum. (If the quantity…

A: Series

Q: A company determines that its woekly online sales, S(t), in dollars, t weeks after online sales…

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Q: The parametric equations represents a line. Without eliminating the parameter, find the slope of the…

A: given parametric equation of line is  x = 9 t -7     and   y = -5t -1 then we have to find slope of…

Q: 2y y² dxdy Evaluate SS2¹ 4y²+x² O π/12 O π/16 O π/2 O π/6

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Q: -3.4 0.4 murunin xex dx ound mol

A: given integration is  ∫0.43.4xe-xdx here   N=6 here  b = 3.4     and  a = 0.4   and f(x)=xe-x so…

Q: 15. Find the magnitude and direction angle for the resultant vector, u + v, given u = and v=

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Q: Consider the following. f(x) = In(x-3) — 1 (a) What is the domain of f? (Enter your answer using…

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Q: 5 6 (Type an integer or a simplified fraction.)

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Q: For which values of a is the matrix singular? [[a,3],[4,12]]

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Q: 6. Find the surface ares for the part of the graph f(x, y) = ²-3ay+2 that lies above the triangular…

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Q: Given: F(t)=L-1{s+2 / s(s2+4)} Find: F(pi/4) Choices: 1, -1, 0, 3/2

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Q: Find the exact value of each expression. (a) log₂ (16) (b) log2 2 (7/6) 16 (c) log64(2)

A: To find the exact value of each expression.a log216b log2116c log642

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Q: Find sin 2x, cos 2x, and tan 2x if tanx =-3/2 and x terminates in quadrant IV

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Q: if f(x) = 3x + 2 the f-1(x) = f(x) = 3x2 + 2x - 5 then f(-2) =

A: To find inverse function.

Q: F 0 f(x) 4. Let g(x) = f(t)dt, wher (a) Evaluate g(0) and g(e (b) Estimate g(x) for x = (c) On what…

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Q: 9. Determine lim f(x), where f(x)= X→-2 a. b. 6 -6 [6, if x = -2 -6, if x = -2 C. d. -2 The limit…

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Q: 1+245 Se (x²+x+19) 1-245 2

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Q: Consider the following. f(x) x³ + 9, g(x) = √√√x X (a) Find the function (fog)(x). x + 9 (fog)(x) =…

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Q: Evaluate. Be sure to check by differentiating. f. X 10 10 +9 +9 f. dx=0 (Type an exact answer. Use…

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Q: 1. Sketch the graph of each function, labeling any intercepts with their coordinates and any…

A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Solution: Given data, Position of an object = s(t)

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Q: [Directional Derivatives] Calculate the following directional derivatives. w(x, y, z) = xy^2 / z^2…

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Q: 211. Revisit the 1-foot radius circular saw blade with the one red tooth. Look at the ratio m of the…

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Q: Suppose a boat leaves port, travels 7 kilometers, turns 21°, and then travels another 12 kilometers.…

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Q: Use the divergence theorem to calculate the flux of the vector field F(x, y, z) = 4xyi + 5yzj + 2x…

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Q: Find the integer in the interval (7,10) with the property that if we divide it by 4, the result is…

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Q: You receive two job offers: Job A: $41,000 starting salary, with 6% annual raises Job B: $52,000…

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Q: show dx sin 3x tan 3x solution answer - Csc 3x 3 - + C

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