1. Evaluate the iterated integral. (a) L 0 x²ydxdy (b) cos (s7) dtds

Q: Evaluate the definite integral. π/3 ³ sec(t) (tan(t) ° sec(t) (tan(t) + sec(t)) dt = Hint: First…

A: Step 1: Simplify the given integral :∫03π​​sec(t)tan(t)+sec2(t)dtStep 2:Seprate the single integral…

Q: What is the power series for ( x cos(x) dx?

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Q: K If $5000 is invested for t years at 9% interest compounded continuously, the future value is given…

A: If $5000 is invested for t years at 9% interest compounded continuously, the future value is given…

Q: Solve 1xy' -4y = x¯ 1xy4y 4, y(1) = −3. (a) Identify the integrating factor, a(x). α(x) = (b) Find…

A: Step 1: Step 2: Step 3: Step 4:

Q: == Over the next 10 years, a company projects its continuous flow of revenue to be R (x) = 90e0.15…

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Q: Find the linearization of the function f(x, y) = √√/15 – 2x² - 3y² at the point (2, 1). L(x, y) = ☐…

A: Step 1:Step 2:

Q: if f(x) = 15 - g(x) for [-2,2] what is the integral from -2 to 2 of (f(x)-g(x))

A: Step 1: Given, if f(x) = 15 + g(x) for [-2, 2] we need to find the integral from -2 to 2 of…

Q: The function  S(t) =  1 2 gt2  gives the distance that an object falls from rest in t sec.…

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Q: on Given the system below, -8x+ay = 4 3x + 2y = -1 find: 1. Value of a, if det (A)=-1 | Instructions…

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Q: The supply for a particular item is given by the function S (x) = 18+ 0.36x². Find the producer's…

A: Approach to solving the question: The producer surplus is the area between the supply curve and the…

Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

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Q: Solve the differential equation by using integrating factors. y' = 7y + 3

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Q: Let f(x) = 14 - 2x. (a) Sketch the region R under the graph of f on the interval [0, 7]. y 15 10 y…

A: (a)(b)(c)(d)Do the appproximation improved = Yes.

Q: Differentiate the following expressions with respect to x: (i) y= (2x³-4) X+1 y = x-1 (ii) (iv)…

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Q: Given the following points: A (4, -2, 0) and B (-2, -4, 2), find: 1. The length of the segment AB…

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

Q: A stock's return has the following distribution: Calculate the stock's expected return and standard…

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Q: No hand written responses. I need help with this equation that is at the very bottom. I need a…

A: Step 1:Step 2:

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

A: Step 1:Step 2:Step 3:Step 4:The integral is Divergent and ∫0∞​xln(x)dx=∞

Q: Determine whether the integral is convergent or divergent. If the integral is convergent determine…

A: Step 1:​I=∫04​(4−x)3/21​dxI=t→4−lim​∫0t​(4−x)3/2dx​​Step 2:​I=t→4−lim​∫0t​(4−x)−3/2dxUsing the Power…

Q: Find the cross product (i+e¹j+e¯¹k) × (5i + etj − e−k).

A: Step 1:Here need cross product of ,(i+etj+e−tk)×(5i+etj−e−tk) If a=ai+bj+ck and b=xi+yj+zk given…

Q: Find the area of the shadal aren y=e X= In4

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

Q: Question 6

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Q: Approximate the area under the curve graphed below from x = 3 to x = 6 using a Left Endpoint…

A: thank you for this question

Q: Practice

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

Q: 2. Graphing Calculator allowed: A particle moves along a straight line. For 0 ≤ts 5, the velocity of…

A: a) To find the values of  t  in the interval 2≤t≤4 for which the speed of the particle is 2, we…

Q: 8:55 PM | 50.0KB/s ← اله. الله. Assignment 2 DEMC_... Q Assignment 2 1. Solve (D²-4D+4)= e² + cos…

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Q: Application 19. Determine the derivative of the following & simplify (within reason): [ a)…

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Q: Please do 3

A: To find the work done by the force field F(x,y,z)=(z,x,y) in moving the particle from point  to…

Q: 5.25 3 For dx -24+10x-x2 Part A: Determine if long division will be used for this integration and…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the area of the region. interior of r² = 36 cos(20)

A: Step 1: put r=0 and calculation of angle  Step 2: Angle Q  Step 3: put the limit of integration…

Q: Consider the elipse with equation x^2+4y^2 = 4  a) Find a paramentrization of the ellipse that…

A: Step 1: Step 2: Step 3: Step 4:

Q: - Let u = 5i + 4j, v = -i + 2j, and w = 3i — 2j. Determine the i, j form of each of the following:…

A: Given:u=5i+4jv=−i+2jw=3i−2j (a) 5u−v=5(5i+4j)−(−i+2j)=25i+20j+i−2j=26i+18j (b)…

Q: Find the area of the surface. the helicoid (or spiral ramp) with vector equation r(u, v) = u cos(v)…

A: Step 1: ** Area and Surface Integral:** A surface integral can be used to determine the area of a…

Q: Please see image

A: The statement you provided is a consequence of the Monotone Convergence Theorem. Monotone…

Q: If the vector field F is orthogonal to the smooth curve C' everywhere, then F. dr is Off(x, y)ds 1 0…

A: Step 1: Step 2: Step 3: Step 4:

Q: To compute ( 14 u = du = 4xy √√x²+y²+5 14 3 4xy dxdy √x²+y²+5 = Submit answer Next item dady you do…

A: The given double-integral is: ∫814​∫13​(x2+y2+5​4xy​) dx dy To evaluate the double integral,…

Q: Use partial integration to derive that from image without deriving the right side. Here one can…

A: Let's prove, ∫xtan2xdx=xtanx−21​x2+ln∣cosx∣+C We can use the formula : ∫u dv=uv−∫v du Let's perform…

Q: 4.6

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Q: sinhx In (x + √√x² + 1), cosh x = In (x + √√x² + 1), tanh x = In 1+x x x≥1 |x| 1 x sech1 x = cosh…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Solve the triangle. C = ° (Do not round until the final answer. Then round to the nearest degree as…

A: Please give a thumbs up if you got your solution!Any queries are most welcome.

Q: 4. Find the indefinite integrals. What should u be? a. (2x+6)³ dx · √ (3x² − 1)ex³-xdx - 1 b. / 3x²+…

A: Step 1: Basic integration formula used: ∫undu=n+1un+1​+C Step 2:Step 3:Step 4:Step 5:

Q: I Find the following indefinite integrals. dx = cos(t) (5 sin(t) +12)² dt = +C +C

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Q: INSTRUCTIONS: As mentioned, try your best on the following questions, being sure to show your work…

A: Step 1:Part (a) Explanation:To sketch the solution curve through the point (0, 1) using the given…

Q: Use the Fundamental Theorem of Calculus to find 8 cos() da

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

Q: Use a graphing utility to graph the polar equation inner loop of r = 5 + 10 cos(8) Find the area of…

A: Step 1: r=0  Step 2: Q value calculation  Step 3: puto into formula for area calculation  Step 4:…

Q: 2.8

A: Step 1: Step 2: Step 3: Step 4:

Q: "Time is fluid" 50 X 55 XI 60 45 5 10 15 M 30

A: The amount of time that something happens or stays the same in a non-spatial continuity that is…

Q: 1. Let f(x) = cos(tan x). What is the range of f 3. For 0 < x <- <x<, if y = (sin x)*, then find 2…

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