Find the initial horizontal velocity and vertical velocity for each situation.

Q: Find all possible functions with the given derivative. t 1²/24 f'(t) = cos 9t- sin f(t) =

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Q: Use the Divergence Test to determine whether the following series diverges or state that the test is…

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Q: (-2,2 y=x+4 (3,7) y=x²-2 X

A: Given query is to find the area of the shaded region.

Q: Find the function y(x) satisfying dy - 12/13 = 8x and y(-1)= -6. dy - 12/13 The function y(x)…

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Q: Let r(t) = (-4t + 4, e¹, 5e¹¹). Find the line (L) tangent to r(t) at t = L: (x, y, z) = Question…

A: We need to find Tangent Line

Q: The bearing from city A to city B is S 20°E and the bearing from city B to city C is N 55°E. (See…

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Q: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

A: The cost of controlling emissions at a firm rises rapidly as the amount of emissions reduced…

Q: The region between the x-axis and the curve y x2' 1 ≤x≤2, with density g(x) 11 6

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Q: Determine the graph corresponding to the given vector equation. r(t) = (6t)i + (42-6t)j, 0≤t≤7…

A: Let's solve vector value function and integral.

Q: зе 4x

A: Given f(x)= 3e4x So, Df(x)= 12e4x=4f(x)

Q: 12. Let f be the function given by f(x) = 3e2x and let g be the function given by g(x) = 6x³. At…

A: here given function f(x)=3e2x and g(x)=6x3 if the graph of function f and g have parallel tangent…

Q: Use a series to estimate the following integral's value with an error of magnitude less than 10 -5…

A: We need to estimate integral.

Q: 25-year old woman burns 200−20t cal/hr while walking on her treadmill. Her caloric intake from…

A: Given query is to find the calories decrease in 4 hours.

Q: For Problems 3-4, find the definite or indefinite integral, giving an exact answer for a definite…

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

Q: If A is a matrix of size m x n and B is a matrix of size px q, then AB and BA are defined only if

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Q: and the future value P of the amount Po= $200,000 invested for time period t= 5 years at interest…

A: Continuous Compounding Formula: P = P0·ek·t where P = Accumulated Amount P0 = Principal Amount k =…

Q: (D) a translation 5 units to the right and 3 units up

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Q: 2y"+y'-6y=0?

A: NOTE: Refresh your page if you can't see any equations. . the auxiliary equation is

Q: Let F(t) = (3t² + 5, 2e-5t, 3 sin(3t)) Find the unit tangent vector T (t) at the point t = 0. Round…

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Q: Find the indicated partial derivatives of: дz дх Oz au || || Z= 4x x2+y2

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Q: Find three positive real numbers whose sum is 36 and whose product is a maximu Enter the three…

A: Let three positive numbers are x,y,z

Q: Find the indefinite integral. X LA 1-X dx

A: Let's solve indefinite integral.

Q: answer Choice if the limit exists. 1. limit 2. limit 3. limit = 2 4. limit 0 5. limit does not exist…

A: Given   limx→1f(x)   When   f(x) = 3x2-1, when  x≠1        = 3   , when x = 1

Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: 2. Find the complete solutions of the differential equation, = (x + 1)(x + 2), dx 3 and its…

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Q: 4. Find the average value of f(x)=√√x over [-8,1].

A: Given query is to find the average value of function.

Q: Find the indicated partial derivatives of: дz ?х дz ду || || z = ln(x2 + y3)

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Q: Given that f(x) = x³h(x) - h(1) = 5 h' (1) 8 = Calculate f'(-1).

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Q: (P) lim x→a f(x) g(x)

A: Given query is to find indicated limit.

Q: Expand, that is, perform the indicated operations on the differential operator D (xD+2)(xD-2)

A: To expand, that is, to perform the indicated operations on the differential operator D. xD+2xD-2

Q: Re-write the following exponential equation in logarithmic form. 11 3 b = Is equivalent to: log, (x)…

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Q: Record your estimated quotient, 3. Then multiply and subtract. 7 2 2 2 3

A: Given 223÷72

Q: 1) 2² Evaluate ze x² + y² + 2 dv where E is the portion of the ball x² + y² + z² = 1 that is in the…

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Q: Determine the value of when 3f(x) + 4g(x) lim x→2 6ƒ(x) – g(x) lim f(x) = 2, x →2 1. limit = 5 2.…

A: We need to find limx→23f(x)+4g(x)6f(x)-g(x)  given  limx→2f(x)=2, limx→2g(x)=-6

Q: Suppose that the monthly marginal cost for smokejumper harness straps is C'(x) = 3.5x + 95 and the…

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Q: 6 6 If [ f(x) dx = 33 and fºs g(x) dx = 16, 6 ¹° [3F find [3f(x) + 4g(x)] dx.

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Q: 1. Let f(x, y) ) = x² and compute fe and fy. 2. Prove that if f(x) is continuous at x = a and g(y)…

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Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

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Q: Complete the parametric equations for the given rectangular equation. (a) Rectangular equation: (b)…

A: NOTE: Refresh your page if you can't see any equations. . the cartesian equation is…

Q: 23. Suppose log5 (A) = x and log5 (B) = y. Express log5 √5A³ B4 in terms of x and y.

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: 0 -3√/2 √√3 -2 Given g(x) = 0.5x4 + 4x, determine the x-value for the absolute minimum of the…

A: To find absolute minimum.

Q: between the curve of the function f(x) = 2x and the x-axis over the interval [-3, 3].

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Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

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Q: Calc 2, Fall 2022 Problem Set 5 For any series, in order to conclude that it converges or diverges,…

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Q: late the limit algebraically. h² lim h→0 3h + 4h² OOOO answer does not exist, enter DNE If the limit…

A: Given query is to find indicated limit.

Q: tion true, or explain why it does not exist. (1 + c)" =2

A: NOTE: Refresh your page if you can't see any equations. .

Q: Question 25 Determine the correct end behavior of f(x) = -4x³ - 2x²+2x+3 A B C falls to the left and…

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Q: Determine if the limit 4 x + 1 X lim x 0 exists, and if it does, find its value. 1. limit = 5 2.…

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Q: 1. Simplify the following expression using the exponent rules, and indicate the rules while…

A: Please re-post the last question separately. I'm running out of time. 1.  The expression can be…