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Q: The function f is shown below. What is the value of answer in simplest form. -10-9-8 5 4 3 2 11 8 6…

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Q: For the function f(x)= −2sin(x−3π/2), determine its amplitude and period, and then graph it for two…

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Q: √x+9 at x = 0. Write your answer in the form a+bx+cnx" n=2 where a, b, and each cn are constants.…

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Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

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Q: Write a limit using summations that would equal 0 tan (2x) dx.

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Q: c. A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec.…

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Q: Evaluate the triple integral g(x, y, z) dV over solid B. B = {(x, y, z) | x² + y² ≤ 10², x ≥ 0, y ≥…

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Q: Find the area under the curve y 2 I over the interval [1, 4]

A: Find the area under the curve y=2x over the interval [1, 4]

Q: Je²² e² sin (e)dr

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

Q: Determine the general solution of xdy + ydx = 0 A xy=c B) xy^2 = c y=c (D) X=C

A: Given Problem:- xdy+ydx=0 Find General equation  of given differential equation

Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

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Q: A lamp post 3m high is 6m from a wall. A man 2m tall is walking directly from  the post toward the…

A: Given:- The given lamp post 3m high is 6m from a wall The given man's height is 2m The man is…

Q: What is the general solution to the the differential equation3y "'-y'- 2y = 10e? A B v=C₂₁e (²/³) x…

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Q: Find the area of one leaf of the "four-petaled rose" r = 7 sin (20). X FIGURE Four-petaled rose (Use…

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Q: Sketch a graph of a continuous function f with the following properties: (i) f(x)=0 for x = 0 (ii)…

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

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Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

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Q: a. Find the antiderivative of f(t) = 7x + 6x³ - 8x² - 6. Justify your response.

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Q: 5. The population, P, of an island, y years after colonization is given by the function P = a. What…

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Q: Let a = (-5, 1, 2) and 6 = (2, - 1,3). Find the angle between the vector (in radians) Check Answer

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Q: Let W be the subspace spanned by u, and u₂, and write y as the sum of a vector in W and a vector…

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Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

Q: lim x(√16x² + 2 - 4x) X118

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Q: Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt…

A: Given problem:- wx,y,z=x2+y2+z2,x=sin7t,y=cos-3t,z=e-4t Find dwdt

Q: Evaluate f(x, y, z) dV for the specified function f and B: JB f(x, y, z) dV = f(x, y, z) = Z x 2 ≤ x…

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Q: Differentiate the following function. You do not need to simplify the derivative. h(x) = 2x²ellz…

A: Topic = Derivative

Q: Find 2 -1 (3x³ + 7x¹) dx

A: Here we have to solve definite integral

Q: Let v = 37 - 47 + 2k. Find ||||. Check Answer

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Q: Find the arc length (s) of the curve r(t) = (est, -2e5t, 3e5t) for 0 ≤ t ≤ In (2) 8=

A: The arc length s of the curve r→t=x(t), y(t), z(t) for a≤t≤b is given by s = ∫abx'(t)2+y'(t)2+z'(t)2…

Q: tan x-sec²x +3=0

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Q: If log y = 7 which is equal to y? O 107 O 70 O 10000 O 7¹0

A: Topic - Logarithmic function log x=a x=10a

Q: Below is the graph of y = x² +5. 141 12- 10 -2 -1 8- 6- 4- 2 0 1 2 3 The area bounded by y = x² +5…

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Q: e cos(x) = 1 + sin(xy) 2 2

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Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A: The given function is x2-y2+2xz-xy+yz.

Q: Let a = -17 +83 +9k and b = -87-23 + 3k. Find a b Check Answer

A: Given vectors are a = -1i+8j+9k and b= -8i-2j+3k Find:- a.b

Q: The differential equation dy x-2y+3 ax 2x+3y-4 = is reduced to [homogenous or separable

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Q: Use L'Hopital rule, find the following limit? lim (4x + 1) cotx x→0+

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Q: •y+1 Q5. Evaluate S₂ S¹¹ xy dx dy. -2 Jy²

A: Topic = Integration

Q: Given the following functions: y = For each function, sketch the curve and determine (where…

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Q: ∞ e4y dy

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Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

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Q: Find fxy(x,y) if f(x,y) = (x² + y²)6.

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Q: Consider the function f(x) = 2 (cos(z-7)+2). Determine its amplitude, period, and midline. Enter the…

A: The midline of a periodic function is the horizontal line which is between the function's maximum…

Q: fin(x² + 1)dx (Ans: xln(x² +1)−2x + 2 tan¯¹ x + C)

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Q: For the curve given by the vvf r(t) = ti + 2t²j+t³k, find the unit tangent T(t), principal normal…

A: I have appended the formula used in the solution part of the question

Q: y = [x + (x + sin² x)³]4 I

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Q: In a cafe, only coffee and tea are offered. The probability of a customer buys a cup of coffee is…

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Q: 3. Including all steps, charts, and derivations details, use the curve sketching methods to sketch…

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Q: Find the exact value of sin (77) 3 sin T 3

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Q: Find fxx (x,y), fxy(x,y), fyx (x,y), and fyy (x,y) for the function f. f(x,y) = 5x e 5xy fxx (x,y)=…

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