Find critical values of the function. If they exist confirm all max/min or IP. Must show sign chart for both f' and f". f(x) = 6x¹ — 15x² - 8 (round answers using 2-decimals places) -

Q: Find an explicit solution of the given initial-value problem. dx = = 6(x² +1), x(1) = = 1 dt x = tan…

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Q: For numbers 24-30, consider f(x) = -x +8x³-18x² + 10. Read the following statements carefully. Each…

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Q: Find the total change of f(x) between x = 1 and x = 4, when 1.25 0.75 0.25 -0.75 df 1 dx x2 =

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Q: Evaluate F-dr where C is represented by r(t). C F(x, y)=xyi+yj C: r(t)=28ti+tj, 0≤t≤7

A: To find ∫CF·dr

Q: Q16 a) / 31 3t+2 b) dr cos² a √5+tanz » /; c) [₁² dt (3-5t)²

A: Given :(a) ∫3t3t+2dt(b) ∫dxcos2x5+tanx(c) ∫12dt3-5t2

Q: -1 'Cos'¹x { √(1-x²) } ]¹_dx og. { 1 + (sin (2x√(1-x²))} TT

A: Given data:- ∫cos-1x1-x2-1loge1+sin2x1-x2πdx

Q: Use constant differences or ratios to determine which parent function would best model the given…

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Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

Q: Find the first 4 nonzero terms of the Maclaurin series for the given function: f(x) = 6sin2x b.…

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Q: Tutorial Exercise Use the Quotient Rule to find the derivative of the function. cos(t) f(t) = Step 1…

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Q: What is the total change of f(x), if f'(x) = 4x² + 6, over the interval [-1, 2]? -18 ထို့ကြ ကြ O O…

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Q: From a class of 12 boys and 10 girls a committee of 3 people is selected. How many different…

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: Find the area of the region enclosed by the graphs of x = sin() and x = Z7Y. (Use symbolic notation…

A: We have to find the area of the region.

Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

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Q: 6. Use the Ratio Test to determine if the series converges or diverges. n¹⁰2n n! n=1

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Q: Suppose that 0 is in standard position and the given point is on the terminal side on 8. Give the…

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Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

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Q: 3. Given the function f (x) = (x-100) (x+125) (x-70)² + 40 explain how the equation connects to the…

A: f(x) =(x-100)(x+125)(x-70)2+40

Q: @/sketch the graph f(x) = -2 log 1) find the. a. Complete the graph sketch and following. Make sure…

A: We have to sketch the graph and state the transformations.

Q: Find the second derivative of the function. f(x) = sec x f"(x)= sec x sec x(sec² + tan² 2 tan²x)…

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Q: I believe there is an error in the solution to this problem. The graph has the y value for 9 as 10…

A: Yes you are correct. I am posting the correct answer with necessary changes.

Q: Consider the graph of g (x) = 2*-¹ + 4. How is g(x) related to the base graph of f(x) = 2*? Select…

A: The graph of the function gx=2x-1+4 related to the base graph fx=2x

Q: If [ ½ dx = 1⁄2x + 3, which of the following statements is true? / / / / dx # 1/1/2x + 3 0 / dx = x…

A: We can answer the question as below.

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if…

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Q: Part 5 of 6 Substituting the above into the integral, we have 2 cos 15 = 26" / ² (04 0 J[ R(x, y, z)…

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Q: Find the curvature and the radius of curvature at the stated point. ㅠ r(t) = 5 cos(t)i + 11 sin(t)j…

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Q: 2. Let f(x) = f*cos² tdt. Find f(x) b. Find f'(x)

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Q: Evaluate csc² √2x √x [³ dx.

A: Given data:- ∫csc22xxdx

Q: 2-3i/1-2i

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Q: Q1. Find the derivative of the following functions. a) G(x) = √²+3d f et -dt et b). H(x) = plnx +²…

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Q: (8) Find the volume of the solid obtained by rotating the region bounded by y = 1+ secx, y = 3,…

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Q: Questions 6. W Use the following information to answer the next question Two functions are shown. y…

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Q: cote √3)2sin0 + √2) = 0 - The solution set is {60°, 240, 225°, 315°} (30°, 210, 225°, 315°} O{45°,…

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Q: The bass population of a mountain lake was measured a year ago, and the lake was found to host 6,000…

A: This is a logarithmic problem

Q: A if statement I is false and statement II is true; B if both statements I and II are false; C if…

A: A graph of the function f is given below. To determine the correct choice for items 4, 5 and 6.A if…

Q: Integrate using appropriate U-Substitution. You must label u and du: (x - 1)(x + 1) 15x -5x³ S dx u…

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Q: Calculate lim n4x Σ 11.4 n. 4n

A: Given   limn→∞∑i=1ni.4in.4n

Q: C: line segment from (0, 0) to (4,8) (a) Find a parametrization r(t) = of the path C. 0 ≤t≤4 2 (b)…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = (4x³+ln(3x) si…

A: Concept: Integration: Integration is a strategy for combining or joining the parts to get at the…

Q: 016 a) | b) | c) | 3+2 dt dr cos² √5+tan z dt (3-5t)²

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Q: Each time your heart beats, your blood pressure increases, then decreases as th heart rests between…

A: p(t)=115+25 sin(160πt) is the pressure in mmHg, at time t measured in minutes.

Q: For items 1 to 10, determine 1. y 3x³ + 2x - 5 (A) 9x² + 2 1 √x 1 2√x 2. y=-- (A) 3. y=e-sinz (A)…

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Q: (23) Explain the Substitution Rule for Definite Integrals. (24) Find √3x + 5dx (25) Find 1 (3x + 5)5…

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Q: Use Definition 7.1.1, DEFINITION 7.1.1 Laplace Transform Let f be a function defined for t≥ 0. Then…

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Q: Find the curl for the vector field at the given point. F(x, y, z)= 6xyzi+6yj+6zk (6, 7, 6) O…

A: To find the curl for the vector field  at the given point.Fx, y, z=6xyzi+6yj+6zkPoint=6, 7, 6

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y = x3, x = 9,…

A: We have to find the volume of the solid obtained by rotating the region bounded by the given curves.

Q: 14

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