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Q: S 1 A box with a square base and open top must have a volume of 318028 cm³. We wish to find the…

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Q: Problem 4. (. Let C be the curve given by parametric equations r(t) = 1², y(t) = 2t, z(t) = ln t, t€…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Which expression is the derivative of the function y = 9e-8 O No correct answer O9e-8 -8t O 72e-8…

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Q: 1. Find the inverse of 3x + 1 = 4. x-1 (1) y = x (2) x = y-1 10 (3) x = 3y + 1 (4) y = x+1

A: Given :3x+1=ythenf(x)=y=3x+1

Q: Problem 4. (. Let C be the curve given by parametric equations y(t) = 2t, z(t) = lnt, t€ (-∞0, +∞0).…

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Q: (5x²+4)

A: ddx15x2+43

Q: EXAMPLE: (0,0) 3x-2y 26 5x+45 O > 5 x a 1915 CRITICAL POINTS -A (30) ( B (2.0) 1 D ( ¾/5,9). ✓c…

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Q: Consider the function f(x) = 3x² − 2x +9, 0≤ x ≤ 7. The absolute maximum of f(x) (on the given…

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Q: For items 22-23: The equation of a curve is y = 6tanx. 22. What is the slope of the tangent line…

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Q: figure out absolute min & max values: g(x)=cos^2(x)-3sin(x) Interval:0<=x<=pi

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Q: (x+3)dx 10. ·S 4x² + 4x³+x²

A: A detailed solution is given below.

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A: Value of b is given.

Q: A scheduled payment of $7,000 due in one year is to be replaced with two payments: the first due in…

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Q: y = (b) -8 -2 ere to search - 6 y 2 -4 -6 -8 1 -4 2 4 1 y 2 61 -4 6 8 O 6 2 8 DELL X X 3. A

A: We have to find the equation of graph

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Q: 2t³ +11t+8 3 t³+4t² +4t 7. S -dt

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Q: The function f(x) = 2x³ - 30x² + 144x + 6 has one local minimum and one local maximum. Use a graph…

A: The given problem is solved below in detail.

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A: To find the area of the region bounded by given curves.

Q: Determine the derivative of the function g(x) = 3x + 4 / 74x. Do not simplify your answer.

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Q: Solve the equation to find the value of a,b,c and d. Eqn 1: 6 = 6 b + d Eqn 2: 6 + 4 = 3b + c +…

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Q: Determine the values of a where the function f (x) is not continuous. Label each discontinuity as…

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Q: A function y with the property that y = -y" is

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Q: Find v. v=-4i-j ||v||=| (Simplify your answer. Type an exact answer, using radicals as needed.)

A: Here, the given vector is: v=-4i-j=(-4)+(-1)j

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A: According to given, The function f(x) is increasing in (-inf,2) and (5,7) This is because f'(x) is…

Q: 3

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Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 6…

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Q: Find the slope of the tangent line to the curve below at the point (5, 3). √x + 4y + /5xy…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) I sint sin(t)√1 + cos(t)…

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Q: x 0 Can also be displayed as: f(x) = [x - 1 when x < 0, 1 when x = = 0, x² 1 when x ≥ 0] For this…

A: The given function,     fx=x-1,x&lt;01,x=0x2-1,x&gt;0

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A: According to the given question  In flow  Clear liquid  = 10 L/min Dye solution = r  L/min, having…

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Q: 20. (x-2x³+1)dx (x² - 2x+5)

A: I am attaching image so that you understand each and every step.

Q: Problem. Compute the general solution of the following 3 x 3 linear system: -2 3 dY 3-2 1 Y, where Y…

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Q: Find d²y dx² d²y dx² in terms of x and y. y5 = x6 6 25 X or|c X

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A: Please refer to the image below

Q: ¹In(1+x) -dx 0 X

A: Expand log series

Q: Every set S has an open cover.

A: If S is a subset of  R,   Then every set S  will always have an open cover.

Q: 7 dx x4 - 16

A: Given: I=∫7x4-16dx   As we know the common integral. ∫1ax+bdx=1alnax+b+C And ∫11+x2dx=tan-1x+C

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A: SOLUTION-

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A: We have, Marginal profit (MF) = Marginal Revenue (MR) - Marginal Cost(MC)

Q: 22. CHALLENGE If rectangle ABCD has coordinates A(0, 0), B(0, 4), C(4, 3), D(0, 3), find the…

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Q: The set S = [1,3] is not./compact. Which open cover of S 9.) {[1,3 + ¼/n) I nεN } b.) { C1-1/n,…

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Q: · [2² 1. ² dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…