What is the total change of f(x), if ƒ'(x) = 2x − 3x², over the interval [0, 3 -18 -12 -6

Q: f(x)=3x2+2x+6 f'(x)=f′(x)=    f'(2)=f′(2)=

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A: Solve by integration

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Q: Verify that the indicated family of functions is a solution of the given differential equation. A dP…

A: Given  dPdt=P1-P;   P=c1et1+c1etTo Find: We need to verify the solution

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A: To find out the sum a+b.

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A: As per bartleby guidelines we only give first question answers.

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Q: # 000000 JUUUO Find the area of the region enclosed by the graphs of y = √9-x² √9-x² and -0.1x + 1.…

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Q: 5- For the y= 3x V4-x², determine the absolute max and min values within its domain.

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Q: Use the given graph of the function to find the function information. (A) Intercepts (B) Vertex (C)…

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Q: Solve the given differential equation by separation of variables. dy e5x + 4y dx =

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Q: 3. ) Consider the function f(x, y) = 2r+y²-2²-2y. The critical points of f are (-1), (0, 1) and…

A: In this question, we need to classify each critical points using second derivative test.

Q: Show that fis continuous on (-∞, 00). if x ≤1 f(x)=√(1-x² In(x) if x > 1 On the interval (-∞o, 1),…

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Q: Find each x-value at which f is discontinuous and for each x-value, determine whether f is…

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A: Given differential equation: y'=xy+x2y, y0=-2To Find: solution of the differential equation

Q: This doesn't explain why -1 is the right answer over the other options

A: Solution

Q: B. Determine orthogonal $2435 if A=9i-6j-24k and B=(-15, 10,40) are parallel, or neither using dot…

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Q: Find the vertex form of the function. Then find each of the following. (A) Intercepts (B) Vertex (C)…

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Q: Answer: y = -√2 sin x + 3 # Find the particular solution, y = f(x), to the differential equation dx…

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Q: Write in Sigma Notation #3

A: Here we have to write the given sum in Sigma notation.

Q: If f(w) f'(w) = = w7 -In w 7 w7 49 find f'(w). Use exact values.

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Q: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

A: if f functions is bounded on [a,b] does f has an absolute maximum and absolute minimum or not??

Q: Verify that the indicated function y = p(x) is an explicit solution of the given first-order…

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Q: y =(3+5.x)" Use Logarithmic Differentiation to find dy da dy dx

A: topic- logarithmic differentiation

Q: 4x 10. Find all vertical asymptotes for the rational function f(x) = x²-144 11. Find all of the…

A: We can solve this as follows:

Q: The radius of a circular oil spill after tt minutes is given by r(t)=√9tr(t)=9t. Find the…

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Q: 1 4. f(x)=- (5x²+4) 5.f(x)=√√3x² +6x+2

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Q: Find an antiderivative F(x) with F'(x) = f(x) = 8+21x² + 10x4 Remember to include a "+ C" if…

A: This question is based on indefinite integral.

Q: Solve the given differential equations: dy x3 1. = dx 2+y² 2. y' = y (0) = -2 y+x²y 3. 3x²y dx (x³…

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Q: f(x) = 44 (a = 3) Choose the correct answer below. 4 4 8 OA -+ -(x-3)-. 3 9 27 (x-3)² + ... 4 4 4 O…

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Q: Find product solutions of J² 2x² 4 Ju sy

A: Given

Q: Q1: Answer 2 branches only A. Find the general solution of the following Initial Value Problem (IVP…

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

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Q: y r I 2 9-2²-2 The integral that will give the area of region R using horizontal strips is. a. ²…

A: Curve 1: y=x2-2⇒y+2=x2⇒x=±(y+2)12 lets take positive side of x be f(y)=(y+2)12 Curve 2: y= x let…

Q: 3.lim √x + 3x + 6 x-2 -2.1 X f(x) -2.01 -2.001 -2 ? -1.999 -1.99 -1.9

A: Limits

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A: Using substitution evaluate integral

Q: for the angles ℼ/6, 5ℼ/6, 7ℼ/6 and 11ℼ/6, the following statements are given statement i) these…

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Q: The velocity of a particle on the time interval 1 ≤ t ≤ 4 is v(t) = t³ - 1, where v(t) is in cm/s.…

A: topic- average of function over interval

Q: Q2. Let a(t) = 2j + 6tk be the acceleration of a particle at time t. If r(0) = −2i+j and v(0) = i,…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3- prove that w = w yx if w = xy² + xy +

A: Given problem:- w=xy2 +x2y3+x3y4  Prove that wxy =wyx

Q: Suppose s(t) = 3t+ 6 on the interval [1, 4]. What is the displacement on [1, 4]? 06 08 09 O 18

A: topic-displacement

Q: 2) lim f(x) if f(x) = {x+3₁ x22 x²-9, x<2 x-2 F(x) X 2.75 2.5 2.1 2.01 2.001 X 1.5 1.75 1.9 1.99…

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