Find equations of the tangent lines to the curve x-1 x + 1 that are parallel to the line x - 2y = 3. y y = y = 3 2 Need Help? X (smaller y-intercept) (larger y-intercept) Read It

Q: Find the general solution to the equation. First find a small integral root of the characteristic…

A: First form the characteristic equation then solve it to get the roots.

Q: 9-8-7-6-5-4-3-2 9 8 7 6 5 4321 -6 -7 -8- 69 -9 -10 + 2 3 4 5 6 7 8 9 1

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Q: For the function f(x)= of f. x-3 x-7' find f''(x), the third derivative of f, and f)(x), the fourth…

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Q: Let log(A)= 10, log(B)=1, and log(C)=-10. Evaluate the following logarithms using logarithmic…

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Q: Evaluate the following definite integral. S™ (i) CT/2 cos x sin¹x dx; (ii) √√3 fY³VT- x√1 + x² dx.

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Q: (a) Find an equation of the tangent plane to the surface at the given point. xyz = 15, (1, 3, 5) (b)…

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Q: For the function f(x) = 4x² - 5x+5, find f'(x). Then find f''(0) and f''(3). f''(x) = (Simplify your…

A: The given function is f(x)= 4x2-5x+5, find f''(x). than find f''(0) and f''(3).

Q: Find f'(x) and simplify. f(x) = 5x4 Inx

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Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A: To determine whether the series is convergent or divergent.  If it is convergent, then to find its…

Q: Please help solve this and explain for me. Thank you. The temperature at point (x,y,z) in space…

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Q: f(x) = ln (17x) Choose the Maclaurin series. In (1 - 7x) = 00 Σ n=1 In (17x) =- In (1-7x) =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find u. (vx w). eBook u = (5, 5, 5) = (4,2,0) w = (0, 0, 2) v =

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Q: In each of Problems 9 and 10, solve the given initial value problem and determine at least…

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Q: 3. Calculate the limits (a) lim (1-cosx)/(5sinx) x->0

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: (a) Show using the product rule that [f(x)g(x)h(x)]' = f'(x)g(x)h(x) + f(x)g(x)h(x) + f(x)g(x)h'(x)…

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Q: Find the distance between the skew lines r(t) = (0, -5, 4)t + (-2,0,− 6) and p(s) = (2, 5, -1)s +(2,…

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Q: Consider the following. y = -x³ + 4, -x² + 4x, X ≤0 X>0 Find the critical numbers. (Hint: Check for…

A: Given: y = -x3+4,      x≤0-x2+4x,    x>0 To find the critical number.

Q: A point P needs to be located somewhere on the line AD so that the total length L of cables linking…

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Q: A large tank is used to collect water during a heavy rain storm. A graph of the amount of water in…

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Q: sing the following graph of the function f, aluate the limits (a) through (i). 10 -2 8t 6- -2 -4 y X…

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Q: 1. The value of limx→0+ √√x ln x A. 00 B. -∞o C. 0 D. -1 E. 1 F. None of these

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Q: Let f(x) = 2x² + 13x + 15 3x2 + 11x + 6 As →→∞o, y → As a → ∞, y → - As →→-3, y → A Consider the end…

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Q: This exercise should be done two ways: by hand and using technology where possible Let A = - 0 -1 0…

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Q: Identify the open interval on which the function is increasing or decreasing. (Enter your answers…

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Q: If y = x² + 3x, x = 4 and Ax = dx = 0.2 a. Find dy Find Ay b.

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Q: (d) Use the given information to write an equation that relates the variables x and y. (e) Use part…

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Q: Find the spherical coordinates (p, 4, 0) of the point with the rectangular coordinates…

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Q: Determine the set of points at which the function is continuous. xy f(x, y) = x² + xy + y² 0 # o…

A: Given function is f(x,y)=xyx2+xy+y2if (x,y)≠(0,0)0if (x,y)=(0,0)

Q: Find the directional derivative of the function at P in the direction of v. g(x, y) = √√√√x² + y²,…

A: Given: gx,y=x2+y2, p7,24, v=3i-4j   As we know the expression for the directional derivative of the…

Q: Sketch the region of integration and change the order of integration. *9 *√81 - y² 1₁ 0 -9 JO f(x,…

A: The given integral is:∫-99∫081-y2 f(x,y) dx dy

Q: Find the angle of inclination of the tangent plane to the surface at the given point. x² + y2 0 = =…

A: Given query is to find indicated angle.

Q: Three runners compete in a 100-meter hurdle race. The graph depicts the distance run as a function…

A: Observe the given graph and answer each part.

Q: (x²-5x²+17x³-15x+45)÷(x²-3) =

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Q: Find the area of the region bounded by the curves y = (x^4) −(2x^3) −(x^2) + 2x and y = 10x + 25

A: Given: y=x4-2x3-x2+2x and y=10x+25 To find: Area of the region bounded between the above mentioned…

Q: (a) Find the sound level of a motorcycle if its intensity is 10 times the intensity of Io.

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Q: Use the gradient to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find numbers a and b so that f'(1) exists for ax² + b 1 x² f(x) = if if x 1.

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Q: Find the centroid of the region bounded by the given curves. y = 6 sin(3x), y = 6 cos(3x), TU 12 x =…

A: Here the functions are The area is given by

Q: Find all asymptotes of the rational function    Q(x) = (x^2 - 1)/(x + 2)

A: According to question,Given Function,Q(x)=(x2-1)(x+2)

Q: find the volume of the solid revolution generated by revolving the region bounded by y=e^(3x) y=3…

A: Please see the below picture for detailed solution.

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Q: Find the equation of the line 1. Passing through the point (-1, -3) and parallel to the line…

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Q: 5. (a) Find the parabola's vertex, focus, di i. (y + 2)2 = 8(x - 1)

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

Q: y = -(x + 2)² increasing decreasing

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Q: Evaluate the integral sin(lnx)dx.

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Q: A polynomial f(x) and one or more of its zeros are given. f(x)=9x³-149x²+665x-325 8 +i is a zero

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