Hello! Can someone help me solve both A and B. Thank you! Please show all work, as i keep getting stuck on something.

Q: Activity no. 3. 1. At 2:00p.m., a thermometer reading is 80°F is taken outside where the air…

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Q: Solve the given differential equation by undetermined coefficients. y" + 16y = 5 sin(x) y(x)

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Q: Σ 4(k!) ² (2k)*! K=( a. Converges completely because re? b. diverges because r=? C. ratio test is…

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Q: 4. Solve y 3x 3y + 2y" e using undetermined coefficient. Show all the work.

A: We need to solve D.E.

Q: Find the work done by the force field F(x, y, z) = 4xi + 4yj + 6k on a particle that moves along the…

A: Explanation of the answer is as follows

Q: (2) / 1 - 12/9 - x2 dx

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Q: 1) If the sum of the squares of five numbers is 165 and their variance is 8. What is the mean of…

A: Since multiple questions are asked, I am answering first question

Q: . Finish showing the Complementary Slackness Theorem by establishing that under the hypothesis of…

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Q: Given z = f(x, y), x= x(u, v), y = y(u, v), with x(4, 2) = 5 and y(4,2)= 1, calculate zu(4, 2) in…

A: Given that z = f(x,y) , x =x(u,v) , y=y(u,v)  we have to find zu(4,2)

Q: Determine any planes that are parallel or identical. (Select all that apply.) P₁: -90x + 120y + 60z…

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Q: QUESTION 1 P 0 0 9 0 00r Show that 0 Hence, determine the inverse of the following matrices: 100 i.…

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Q: Find the Laplace Transform of f(t) = sin2tcost (A) B 2 s+55² +4 2 E s² +3 s+10s² +9. +(57+55²+4) Ⓒ4…

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Q: on the closed triangular region with vertices (0, 0), (9, 0) and (9, 11). List the minimum/maximum…

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Q: Use the properties of the derivative to find the following. r(t) = ti + 5tj + t²k, u(t) = 4ti + t²j…

A: This question is based on dot product of two vector. (a i + b j).(c i + d j) = ac + bd

Q: If cos(t): sin(t) = cos(-t) = 7 and tan (t) > 0, find sin(t) and cos(-t) 10

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Q: 3. A white wine at room temperature 70° F is chilled in ice (32°F). If it takes 15 minutes for the…

A: The solution is given below

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

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Q: aU: Calculate the derivative of function is not differentiable at an explain in your own words why…

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Q: Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the…

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Q: 1. Function f is continuous on (-00,00). Find constant k. f(x) [kx² + 2x x-kx if x ≥ 2 if x < 2

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Q: a) Find the derivative of each function. Show all your work and simplify the result completely. en…

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Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: Find the critical points of the following function. Use the Second Derivative Test to determine (if…

A: To find the critical points of the following function. By using the Second Derivative Test to…

Q: 2. Find lim (√x + 2 = √2).

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Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: rary S ebook chedule esources ptions ick Guide Cation Tools cloudy Find the measure of the angle 0.…

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Q: Find the general solution of the given higher-order differential equation. + 16d2y + 4y = 0 dx² y(x)…

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Q: Suppose that $600 are deposited at the beginning of each quarter for 10 years into an account that…

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Q: Complete the missing ones: (those highlighted ones) Integrate: 2x [cscs (²) dx SC 3 [csc (3) dx =…

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Q: a. b. algal dy dx dy dx + y = xy³ - y = ex y² -X

A: See this solution in below.

Q: 16. x²y" (x) + 5xy' (x) + 4y(x) = 0 ; y (1) = 3, y' (1) = 7 17. x³y"(x) + 6x²y"(x) +29xy' (x) -…

A: The given differential equation is;  x2y''(x) +5xy'(x) +4y(x)=0, y(1)=3, y'(1)=7.

Q: s ide Jan and Jim started hiking from the same location at the same time. Jan hiked at 2 mph with a…

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Q: For k(x) = (x + 1)(2x)(-3x²+2x+3), find the derivative of k(x) at the point x = 0 using the product…

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Q: Use partial fractions to evaluate the following integral: x³ +6x²+3x+6 dx x³+2x²

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Q: Please

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Q: 5. An object has a constant acceleration of 10 ft/sec², an initial velocity of -20 ft/sec, and an…

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Q: 5.x²=3(y-c)

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Q: I'm looking for a more expanded explanation on how to graph f(x) = -3sin(x).   I'm not…

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Q: According to Fermat's Theorem: If f has a local maximum or minimum at c, and if f'(c) exists, then…

A: To give two examples (one of each) of specific functions f and values of c that demonstrate the…

Q: If r(t) = cos(-4t)i + sin(-4t)j + Ok compute r'(t)= i+ j+ k k+ C and fr(t) dt=i+ with C a constant…

A: Given: rt=cos-4ti+sin-4tj+0k   As we know that; The Chain Rule: fgx'=f'gx·g'x   And the common…

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: Find the gradient of the function at the given point. w = x tan(y + 2), (19, 9, -2) Vw(19, 9, -2) =…

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Q: Find the gradient of the function at the given point. f(x, y) = 4x + 2y² + 4, (1, 2) Vf(1, 2) =

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Q: 4. A tank with a volume of 1800 gallons originally contains 1200 gallons of fresh water. The first…

A: Follow the procedure given below.

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: [² (8cx² = 6cx+6c) de Identify the variable of integration in the given definite integral. Type only…

A: Given problem:- ∫pq8cx2-6cx+6cdc

Q: A bank offers a 12% interest to be compounded annually. How much should a teacher deposit now if he…

A: A bank offers a 12% interest to be compounded annually. The teacher wants to receive Php. 15000 at…

Q: Select all that apply: f(x) is not continuous at x = 3 because limf(x) ‡ƒ(3). Of(x) is continuous at…

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Q: Find the Laplace Transform of f(t) = te cos(3t) (A) B D s+1 s² (s+ 1)² +9s² = ((5+1) ²+9) S s²…

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