The graph of f(x) is shown. At which of the point(s) is f '(x) <0 and f "(x) > 0? E A D B C

Q: 4. A tank initially holds 80 gal of a brine solution containing 1/8 lb of salt per gallon. At t = 0,…

A: Above question is solved.

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Q: A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less a further 24%…

A: Given problem:- A clothing store buys scarves for $22.00 less 27% for buying over 50 pairs, and less…

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A: The objective of the question is evaluate the definite integral and choose the correct option.

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Q: _2. Which of the following series is divergent? 1 1 1 (α) Ση=12n-1 (b) En=1,3 (c) En=13 Σ n2 _3.…

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Q: 6. Evaluate the following multiple integrals. π +2 (a) y sin(xy)dady (b) [1² fr esc² 0dødr π/4 π/2 ©…

A: As per our guideline we have to solve only first three parts

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Q: 11. A dangerous toxic pollutant has been accidentally spilled in a lake. t The speed of water…

A: Use algebraic concept

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A: Homogeneous Differential equation with constant coefficients.

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Q: Part II. Calculating Second Order Partial Derivatives. Find all the second order partial derivatives…

A: Note : As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

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A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

Q: (B): Find the integration by using substitution method [x√2x - 1 dx

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A: To find the distance between given to points.

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A: As per the instruction, we will be answering the first question. For (12), Given: Now, we will find…

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A: This question can be solved by the concept of resolving of vectors into horizontal and vertical…

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Q: Let g(x) be the inverse function to the differentiable function f(x). If ƒ(0) = 1 and ƒ'(0) = 8,…

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Q: 7. f(x, y) = √x² + y²

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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Q: -15 Evaluate the integral: -dz x²√²+64 (A) Which trig substitution is correct for this integral? 0x…

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Q: Q1: If the function f(x) define as f: R→ R such that f(x)= (x+1, x> 2 x²-1, x≤2 Show that the…

A: To show that function f is differentiable at point x=2

Q: 5a) 1 x[In (2x)]3 S.₁- -dx 5b) X ² (x² - 4)" S₁²7 3/2 dx

A: As per guidelines, I can answer only one question. Since both the question are not interrelated. So…

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A: f(x) = 6-x , c= 5 f(x) = (x2 + 2x)/(x2 + 5x+6) , c= 0 here for check contineuty  satisfy this…

Q: 3. +ANIA (3x - 1/2 + sin x) dx

A: As you mentioned question no. 3 solved

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Q: 5. A ball of mass 2 kg is dropped from rest in a viscous fluid, the resistance of which is 0.001v N…

A: By solving differential equation

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Q: Let f(x, y, z) = n(4xy) + sin(xy² + ye*). Find fayz.

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+32)sin(t)dt

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