Determine the equation of the tangent to the curve y = x - e^-x that is parallel to the line 6x - 2y = 7.

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Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

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Q: Consider the integral 5² (4x² + 3x + 4) dx 2 a) Find the Riemann sum using right end points and n=3…

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Q: 41. What is the derivative of f(x) = secx + 3 csc x? A. f¹(x) = sec xtanx + 3cscx cotx 3cscx tanx C.…

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Q: 20. In "x" years from now, one investment plan will be generating profit at the rate of R₁ (x) = 50+…

A: Given: R1x=50+x2R2x=200+5x

Q: Which conic section is formed in the image shown? Circle O Parabola

A: Solution  Given that figure                 It is clear that

Q: IV. Implicit differentiation 114 4. x³y + xy² = 3 and x = 1, find y' and y²

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Q: D) 1. prove that y' = 2. prove that y' at y' -1 1+x² √x 1+x for y=cot ¹(¹) 1-x for y= 2√√x-2 tan-¹…

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A: If a loading ramp is place next to truck, at a height of 8 feet and the ramp is 22 feet long To…

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Q: b) x= 2х-3у 2x+3y

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Q: Problem 1. Find and plot the domains of below functions (a) f(x, y) = x²y, (b) f(x, y) = ln(xy-1).

A: To find and plot the domain of the given functions.

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Q: Question 3 All are true about the curve y = except Domain is (0,5) U (5, ∞). O Curve passes through…

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Q: Solve the following differential equations of 1 -(- ny) dr. = 0 y J 21 ....... '' ... (y-xy) dx +…

A: Solving using method of seperation of variables

Q: Solve the given differential equation by separation of variables. dy X- = dx 8y Cx8 X

A: We have to solve the differential by separable method

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Q: Which equation represents the graph of the circle? O(x-3)+(y + 5)² = 16 O(x+3)²+(y+ 5 = 4 Ox+3²+(-5)…

A: We know the standard equation of the circle is: x-h2+y-k2=r2 Where:  center: h,kradius:r Given:

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Q: nxn 5) Find all values of x for which Σn=1 (n+1)(2x+1)″ converges absolutely.

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Q: 1.- 2. Zeros are 2 and - 3 X -2 -1 3. y 10 5 2 0 1 A. f(x) = x² + 1 B. f(x) = x²+2x-3 C. f(x) = 2x²…

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Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

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Q: 11. Determine lim log x. x→1 A. 0 B. -1 12. Determine lim ln x. x→1 A. 1 B. -1 C. 1 D. DNE C. 0 D.…

A: 11) limx→1log(x)=log(1)We know that log(1)=0Thereforelimx→1log(x)=0. Therefore option (A) is…

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Q: 5. Is the following expression an identity? Explain your reasoning. cos²0 - sin²0 cos20+ sin cos 0 =…

A: Recall: Known Identities sinθcosθ=tanθ a2-b2=(a+b)(a-b)

Q: 3. Find the Laplace transform F(s)=[f(t)](s) where f(t)=- ›-4 4 for 0 < t <2 for t≥ 2.

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Q: 3) Let r1(t) = and_r2(t) = be two skew lines. Find the equation of the plane which lies exactly…

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Q: In 17 years, Selena Willow is to receive $300,000 under the terms of a trust established by her…

A: Recall that the compounded continuous formula:A=Pertwhere A= Accumulated amount, P=present value,…

Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: Given that (x - 5)² is a factor of P (x), and that a = 2, find the values of b and c.

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Q: Solve: 9 d²y/dx² -24 dy/dx +16y=0; y(0)=3, y'(0)=3 Write the letter corresponding to your answer.…

A: We have to solve given Questions.

Q: 3) lim(x - 1)-¹ Inx x-1

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Q: Problem 1: The graph of f and g are given. Use them to evaluate each limit, if it exists. If the…

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Q: Consider a trough with the shape below. 2 m 5 m 8 m It is full of water, which has a density of 1000…

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Q: Find an equation of the tangent line to the curve at the given point by both eliminating the…

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Q: Problem 3. Find all four second derivatives of the following functions: (a) f(x,y) = 5x²y³, (b) f(x,…

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Q: Apply the eigenvalue method to find a general solution of the given system. Find the particular…

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Q: what is higher order partial derivative and total differentials?

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Q: H.W (5) Solve the following differential equations of .0 2xy dx + (x² + 3y²) dy

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Q: der the following. x = t - 2 sin(t), y = 1 - 2 cos(t), 0≤t≤ 7″ an integral expression that…

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Q: What is the measurement of the largest angle in AABC such that a = 52 cm, b = 46 cm, and c = 31 cm?…

A: The largest angel is the angel opposite to the largest side of triangle.

Q: Use the graph above to determine the following: a. lim f(x) = x-1- b. lim f(x) = x→1+ C. lim f(x) =…

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Q: TRIANGLE METHOD: 600 NON and 8 =35 m 3 1. Given two vectors A = 70 m 60° N of E and B = 35 m 30° S…

A: I am attaching image so that you understand each and every step.

Q: Find the area bounded by the given curves, or as described. I.) Sketch the graph II.) Find the…

A: The region is bounded by the curves,        x=y2+4y, x=0

Q: Apply the eigenvalue method to find a general solution of the given system. Find the particular…

A: Taking the eigen values and eigen vectors from the previously uploaded answer.