Given the area of the region enclosed by y = 4 – x' and y = -x+2, identify the BOTTOM function.

Q: 1-3x (ii) Find the values of A, so that the function f(x) = Ax +2x-3 24 continuous for all values of…

A: answer is in next step

Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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Q: 2 4 2n 2 4 + 4 + 4 - n n n n is a right Riemann sum with n subintervals of equal length for the…

A: Given that a right Riemann sum with n subintervals of equal length.

Q: Let F= (2xy +z?,x?, 2xz) and let C be the circle r(t) = (2 cos t,6 cos t,3 sin t), for 0sts 2a.…

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Q: CSC* x dx cot² x

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Q: Activity 1.1 Evaluate the required function values and the indicated limits using the given graph of…

A: Here we have to find the values by observing the graph.

Q: Suppose H (x) = V4x-8. Find two functions fand g such that (fog)(x) = H (x). Neither function can be…

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Q: cos x dx

A: topic - integration by parts

Q: A swimming pool is 50 m long and 20 m wide. Its depth decreases linearly along the length from 3 m…

A: answer is in next step

Q: lim (n + 1 – Vn² n) n 00

A: Given query is to find indicated limit.

Q: Use the currency exchange rates in the table for the following question. You arrive in Mexico City…

A: Given query is to find the amount of pesos can be bought in $420.

Q: x +6x, xa everywhere.

A: A function g(x) is continuous at x=a if and only if limx→a- g(x) = limx→a+ g(x) =g(a) .

Q: First find f' and then find f. f"(x) = 10x³ + 2x? – 5x – 7, - f'(1) = –6, f(1) = -3. f'(x) = f(x) =

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Q: [1+cot 2(In x2)]* dx

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Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: Radioactive elements disintegrate spontaneously in a process called radioactive decay. The rate of…

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Q: The absolute maximum and absolute minimum value of the function f(x) = 3x – in [-1,4] is: 4.5, 4…

A: We have to find out the maximum and minimum value

Q: Find Jul, Ivl, 12ul, , lu + vl, lu - vl, and lul - Ivl. = (6, -7), v= (-3, -3) u Jul |v| = |2ul =…

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Q: Find the solution. dy 31 +9y=2ty 5/3 dt

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Q: Consider the following problem: a box with an open top is to be constructed from a square piece of…

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Q: Evaluate the limit. Leave results in exact form. V9 + 7r2 lim 11 + 3x

A: This question is based on limits of inf/inf form.

Q: (d) 2. +2 = 0 (e) In enz – 1ln r - 4 = In 3 |

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Q: i 1 2 3 4 0.25 0.5 0.75 1 f (x) | 0.000|| 0.060 | 0.172 | 0.159 | 0.050 (a) Sketch the area…

A: Let's find.

Q: 5. Jxе2x dx

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Q: b. g = f(t, v) = tv, t = In m v = m %3|

A: Given g=tv, t=ln(m) and v=m6

Q: The sides of a square increase in length at a rate of 4 m/sec. a. At what rate is the area of the…

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Q: cot'x csc'xdx 4.

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Q: Assume that x and y are both differentiable functions of t and are related by the equation…

A: topic - derivative of a function

Q: Find the volume of the solid that results when the region enclosed by 7x y = V1+ el4x' 0, x = 8, and…

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Q: x =r' +1, y =r -t = t a) Find dy/dx

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Q: 6. Sxe -3* dx хе

A: We solve the above integral using integral by parts which is given in step 2 .

Q: Solve the following equation: tan 2x+ tan 3x 4

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Q: Determine dæ dy and of the parametric equations dy dæ? 1. x (t) = t2 – 4t and y (t) = 2t³ – 6t - -

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Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

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Q: Find the area of the parallelogram with vertices (1,2), (4, 5), (7, 10), and (10, 13)- Answer:

A: I have shown magnified diagram

Q: (Vx+4-3 if x # 5 Given: f(x) =: X-5 (к, d K so that f is continous at x = 5. if x = 5

A: We have to find out k value for which it is continuous

Q: Find the first partial derivatives of the function. f(x, y) = (e* + e)3 f, = fy =

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Q: Entertainment In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20…

A: In a survey of 100 Enormous State University students, 22 enjoyed classical music, 20 enjoyed rock…

Q: Calculate the derivative of the function. HINT [See Example 1(d).] f(x) = |-9x + 8| f '(x) =

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Q: If f(x, y) = 7xey + 7y Inx, then is given by: дудх O 49e5y + 7/x 35eby + 7/x O 25e5y + 7/x O 35e5y +…

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Q: A F(s) = S + 5 1 B F(s) = s2 + 25 120 F(s): s6 S + 5 (s + 5)2 D F(s) +

A: We have to find Laplace

Q: (5) Use an iterated integral to find the area if the region. y y = 4 – x² 3 4 2.

A: Given; Now taking an elementary vertical strip. The area of the strip is: dA=Ldx∫dA=∫Ldx Where; L…

Q: t2 1- y? dy 6. dt dy ap 2ty? + 3t²y², y(1) = –1 5. r(0) = -2 y(0) = -2 7. dt dt

A: To find the solution of the given initial value problems.

Q: ntify the u , ress the final answer in its simplest form without onents. Thank You! du and other…

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Q: 4. 4. | cotx csc*xdx

A: We have to find the integral

Q: 5x dV, where E =    (x, y, z) | 0 ≤ y ≤ 2, 0 ≤ x ≤  sqrt4-y^2, 0 ≤ z ≤ 6y   evaluate triple…

A: Answer is 60

Q: A. Evaluate the following integrals. dx 1. 5+x² dx V4-9x² dx x V16x2-25 dx 4. x2+4x+13 2. 3.

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Q: Find the solution of the differential equation that satisfies the given initial condition. dP 4V Pt,…

A: Solution of question is written in below steps.

Q: Let F be the function whose graph is shown below. Evaluate each of the following expressions. (If a…

A: A limit limx→a f(x) exists at x=a if limx→a+ f(x)=limx→a- f(x)=L and limx→a f(x)=L.

Q: Find f. f "(t) = 2e + 6 sin(t), f(0) = 0, f(x) = 0 %3D %3D f(t) %3D

A: We can solve the given problem as follows: