1. Given the points A(2 -1, 1), B(2, 3, 0) and C(4, 3, -4), find the vector, parametric and cartesian equations of the plane.

Q: State the domain for the function h(x) = -ex−¹: O (-00, 0) O (0,00) O (-00, -1) O (-∞0,00)

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Q: Find the derivative of h(x) 3 4 sin x COS X sin x COS X 2 COS X 1+ sin x - 3 cos²x (1 + sin x)³ 2…

A: To find the derivative of .

Q: given the differential equation (cos x + 2xcos²y) dx + (6y2 - x²sin 2y) dy

A: The given differential equation is:

Q: 4) Find дz Əs when r = 2 and s = 0, if: z = 2x²y = x + y x = 1+s y = ers

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Q: If you were given a conic section in general form, how would you determine what type of conic…

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Q: Question 1 Let 0 = cos¯¹(-³) where 0 ≤ ≤. Find the exact value of 0.

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Q: sketch and find the area of the plane region bounded by the gi x = y², x = 2y²-y-2

A: x=y2 , x=2y2-y-2

Q: dx (x² + 2y²). =xy, y(-1) = 3 dy

A: Solve the initial value problem

Q: State the horizontal asymptote for the function h(x) = -e - 10:

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Q: A 25-ft ladder is leaning against a house when its base starts to slide away. By the time the base…

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Q: dx [(x - gx)] dar [21/a>

A: To differentiate the following functions.(i) (ii)

Q: An airplane is flying on a bearing of 170° at 495 mph. Find the component form of the velocity of…

A: Component form of the velocity of the airplane:The component form of the velocity of the airplane…

Q: Calculate the iterated integral. [²(6x²y- (6x²y - 4x) dy dx

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Q: Calculate the area, in square units, bounded by g(x) = 4x + 8 and f(x) = x² + 19x+62 over the…

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Q: lim e(25) X-2-

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Q: 3e4x-2e-4x lim x-∞o 5e4x+e-4x X-8

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Q: following problem. Find only an appropriate Green's function for the y"(x) + w²y(x) = f(x), 0 ≤ x ≤…

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 1)k+18 k! k=1…

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Q: 1. Use the graph off to state the value of each statement if it exists. a. lim f(x) C. X→-1- b. lim…

A: Existence of limit at a point:We know that for limit to exist at any value of x, say x=c exists only…

Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Suppose the position of an object moving horizontally after  seconds is given by the following…

Q: 2 Find the derivative of the function. f(x) = (2x³ - 5x² + 4)³ f(x) = √√√5x + 1 g(t) ƒ(0) = = 1 (2t…

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Q: 9. g(s)-f(t-12) dr 11. 10. h(u) = dr dt F(x)=√1 + sect dr [" Hint: f√/1 + sec t dt = -√ √/1 + sect…

A: Let f be a continuous real-valued function defined on a closed interval [a, b]. Let F be the…

Q: Evaluate the following definite integral. 5 2 Sx√x² 4 16 dx

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Q: Evaluate the following definite integral. Provide your answer below: Lax√812²-81 dx

A: The given integral is 8/[x sqrt(81x2-81)], limit from sqrt(2) to 2.

Q: 5. Given a = 47 - 7k in R³, determine a) a in component form b) la (exact value)

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Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

A: C(x) = 0.04x^3 +0.02x^2 +30x +90, 0< x < 1500, a = 1000The marginal cost function is the first…

Q: Show each step as you work through these problems. Question 1 Solve: tan() = 4 for 0° < x < 360°.…

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Q: Evaluate the integral. (Use C for the constant of integration.) 25dx 25 + ex

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Q: 10. In quadrilateral ABCD, M and N are midpoints of AB and CD respectively. X is the midpoint of MN.…

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Q: x²-49 X-7x²-7x 2. Evaluate lim: 3. Evaluate lim √x+1-3 X-8 x-8

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Q: 11. g(t) = 1 (2t + 1)²

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Q: 1 -1 √1-y² 0 X [Q² + y 0 (x² + y²) dz dx dy

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Q: 2. Sketch the line = (-4,-4) + t(6,8).

A: To sketch the line r=(-4,-4)+t(6,8)

Q: Find the value of x that will make perpendicular to . Give at least two decimal places when…

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Q: Show that 2y" - y - y = 0 when y=e* + e.

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Q: Evaluate the limit, if it exists. 4-2 x--22x²-3x+2 1. lim 2. lim: x²-6x+5 x-5 x-5 x²-9 x-+-32x²+7x+3…

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Q: Use the graph below to find the indicated limits. If a limit doesn't exist, state DNE. If val…

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Q: Find the area of region bounded by generated curves. Do not forget to show your graph. 1. R is the…

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Q: 1) For the given p-series, identify p and determine Whether the series converges. [ K = 1 1 3√73

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Q: Using the method of cylindrical shells, identify the volume of the solid of revolution obtained by…

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Q: You will integrate the following rational function: 20x+5 da S (x-7)(x²-4x+8) To do this, start by…

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Q: 25. lim √√1 + 2x - √√1 - 4x X x-0018 101

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Q: The formula A-740,000 1+5 K 740,000(1+0.05)/14 True represents continuously compounded interest O…

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of…

A: As per the guidelines, I am providing the solution to the first question.

Q: Calculate the iterated integral. [1³ In(y) dy dx xy

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Q: b) Find all the values of a and b such that the plane and the line will always intersect at a single…

A: We have to sove part b and cPlease select text to grab.

Q: Let 0= cos(-) where 0≤. Find the exact value of 0.

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous.…

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Q: ←++ -10-9-8-7 (If the limit does not exist, enter Ø.) 10 9 8 7 6 5- 4+ 3+ 2+ 1+ -3+ Y -4- II T ст н…

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Q: We will evaluate the following improper integral: I [ª da (22+4)2 First we will do the indefinite…

A: We solve this integration problem by using general property of integral.