Evaluate the definite integral exactly. √ √ε t(9+t) dt

Q: A coffee company has found that the marginal cost, in dollars per pound, of the coffee it roasts is…

A: Step 1: Write the given Marginal Cost FunctionC′(x)=−0.025x+7.75 Step 2: Integrate the given…

Q: Sketch a SINGLE graph that includes all of the conditions below. • f'(x) > 0 when - 4 1 - 5 f(-4)…

A: The objective of the question is to sketch a graph of a function f(x) that satisfies all the given…

Q: Please follow the graph. Actually, just answer the question on the photo.

A: Step 1: Step 2: Step 3:

Q: Suppose f(x, y, z) = x²+ y²+z² and W is the solid cylinder with height 7 and base radius 2 that is…

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A: The Law of Sines would be perfectly fit to solve these types of problem. Recall that given a…

Q: Please help me with this question. I am having trouble understanding what to do. Please show all…

A: The objective of question 3 is to find the largest set of values n for which 2^n < n! and prove…

Q: The following system is reduced to the given matrix below using the Gauss-Jordan elimination method:…

A: Steps

Q: Find an approximation of the area of the region R under the graph of f by computing the Riemann sum…

A: Please comment down for any doubt. I hope my answer helps you.

Q: I just need you to answer question g.) using the graph.

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: To test this series for convergence 3 n³ +4 n5 - 7 ∞ You could use the Limit Comparison Test,…

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Q: I need you to just answer question b.) using the graph.

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: This is an optimization problem as we need to maximize the area of the rectangle divided into three…

Q: Given: An = 8n 8n +1 For both of the following answer blanks, decide whether the given sequence or…

A: Step 1 (a) The series  ∑n=1∞​An​  from n = 1 to ∞: Given: An​=(8n)/(8n+1) Rewrite the general term…

Q: Find the accumulated future value of the continuous income stream at rate R(t), for the given time…

A: Part 2: Explanation:Step 1: Use the formula for continuous compounding to calculate the accumulated…

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A: Step 1: Step 2: Step 3:

Q: Using the attached theorms, Solve dx/dt =10x-20y , dy/dt=8x-18y

A: solution to the given question is like this;first find eigen values and check they are real distinct…

Q: (b)What is the bearing from the first plane to the second plane at that time? Round to the nearest…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the general solution of y' = 5 (y — 17). y(t) = = Note: Use C for the constant. Find the…

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Q: Calculate the work done by the field F(x,y) = ⟨-2y, x⟩ in moving an object along the path which is…

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Q: 6

A: We need to find the roots between x = 0 and x = 1. ( i.e., we have to take initial value x0 = 0 )

Q: A person's investment is expected to produce a continuous stream of revenue R of R(t) = 3000…

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A: Solution  ∫ 8ex(√ex+11)dx Take the constant out: ∫a·f(x)dx=a·∫f(x)dx =8·∫ ex(√ex+11)dx Apply…

Q: Find the limit of the sequence. Hint: Remember that cos n always satisfies -1 ≤ cos n ≤ 1. an = (cos…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 9

A: Step 1:​The marginal profit function for a company is given by P′(x)=x​360​−6.Let the change in…

Q: Find the general solution of y' = 5 (y — 17). y(t) = c. e5t +17 c·e+17 A Note: Use C for the…

A: Solution

Q: Matrix A below is a singular matrix, calculate the value(s) of q.  A = q  q2       3   2-q

A: For any query with the solution please ask in the comment box.

Q: 7 ☐ 1. Find the local linear approximation of y = tan x at x = πT 4 О L(x) = 1.117+2.248 x -ㅠ) 7 4 О…

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Q: Find the limits of integration ly, uy, lx, ux, lz, uz (some of which will involve variables x, y, z)…

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Q: Express the given quantity as a function f(x) of one variable x. The product of two numbers x and y…

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Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

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Q: Evaluate f (et + 11+) dt 3t

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Q: solve and replace in the equations

A: Step 1: To solve the system of equations, we can use substitution or matrix methods. Let's first…

Q: 2. (a) Show that the following differential equation is separable: (x² - 1)y'xy = 0. (b) Use…

A: Ans 2 (a)Ans 2(b)

Q: An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel…

A: Given that,t=0 and t=15 are the intervals of,v(t)Area under the curve, v(t) is,Area =…

Q: Find f'(x) and simplify. f(x) = x5 Inx ○ A. (x5) (3) - (Inx) (5x) ○ B. (1) (5x4) ○ c. (x5) (5x4) +…

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Q: - ⑪The two lines with equations 7 = (1, 2, −4) + (k + 1, 3k + 1, k − 3), te R, and a = 2 - 3s, y = 1…

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Q: two questions from practive exam

A: Question 3:- I am attaching the image of the solution.Question 4:- Q(4) Second part is also…

Q: To test this series for convergence ∞ 2 n² +4 n4 + 2 n=1 You could use the Limit Comparison Test,…

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Q: Practice

A: Solve for the triangle means, to find all the sides and angles. Here, given two sides and one…

Q: Fill in the blank

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Q: 1. Digicel's profit function for the sale of S21 is as follows: л(q) = −2q² + 350q-150 The selling…

A: a:Given information:Profit function: π(q) = -2q^2 + 350q - 150Price function: p = 600 - 2qStep 1:…

Q: Find the limit of the sequence: 3n² + 3n+6 ап 7n² + 7n +9

A: Step 1: The limit of a sequence is the value that the terms of the sequence approach as the index n…

Q: Show that the vectors X1 and form a linearly independent set. = (2 e2t 2e2t X2 = :( 3e4t 4e4t

A: We show that the vectors  X1 and X2 form a linearly independent by demonstrating that the only…

Q: 16 Find the absolute maximum value on (0, ∞) for f(x) = 24 - 4x -

A: Step 1: Step 2: Step 3: Step 4:

Q: 7

A: Step 1: A)f(x)>0 at x=x3,x4B)f'(x)>0 at x=x2,x3( where ever the curve will be increasing the…

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Q: Using the attached theorms, Solve dx/dt =4x+y , dy/dt=-2x+2y

A: Step 1: Step 2: Step 3:

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A: The miller indices for hexagonal lattice:Miller indices for any direction; The miller indices is…

Q: Use the trapezoidal rule, the midpoint rule, and Simpson's rule to approximate the given integral…

A: The objective of this question is to approximate the integral of ln(t) from 1 to 5 using three…

Q: An object is dropped from a tower, 1296 ft above the ground. The object's height above the ground t…

A: Step 1: