#solve the following IvP x==2x-y y'= 6x-78 y (o) = 7 x(0)=3 C Then find x(0.25) to at least the nearest thousands (3 decimal places).

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A: Please see the below picture for detailed solution.

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A: See this solution in below.

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A: Finding the derivative of y

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Q: 1) Find the linearization L(x) of f(x) at x = a. f(x) = 2x2 + 4x - 1, a =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 80. A cubic function is a polynomial of degree 3; that is, it has the form f(x) = ax³ + bx² + cx +…

A: f(x) = ax3+bx2+ cx + d on differentiating,   f '(x) = 3ax2 + 2bx +c which is a quadratic in x and…

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A: Solve the given

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Q: 6. y" - y = 4e-2 1-e-2x

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Q: Let f(x) = 9x67x5. (If an answer does not exist, enter DNE.) (a) Find all critical values of f(x).…

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Q: Use implicit differentiation to find dy/dx and d²y/dx². xy + 3 = y, at the point (4, -1) Select one:…

A: According to guidelines I can solve only 1st question

Q: Find the limit. Use 5r3+ r2 _ 2 (b) lim H118 3 – 1.5r2 l'Hospital's Role

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Q: For the given function, find all values of c over the interval (4, 8) stipulated by Rolle's Theorem…

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Q: Let f(x) = 9x² + x³ +20 + 24x Determine the absolute extrema of f on [-5, -1]. If multiple such…

A: The given function fx=9x2+x3+20+24x We have to find the absolute maximum and absolute minimum values…

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Q: Which statement regarding these polynomials and their zeros is true? - ○f(x) = (x² − 1) (x + a) has…

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Q: Use Fubini's Theorem to evaluate the double integral ff f(x,y) dA, where f(x, y) = −3x²-x²y - 3y²…

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Q: Activity 1: Pictures Analysis (eliciting prior knowledge, Motivation, Hook) Observe the pictures…

A: 1. The given diagrams show the following applications of the functions: Continuity of functions,…

Q: Find the arc length of y= 2x sqrt(x), from x=0 to x=1

A: Given: y=2xx We need to find the arc length of the above function from x=0 to x=1.

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Q: 5x + y ≤ 10 x+y≤6 x≥0, y≥0 Ing system. 100 8 4

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Q: Remember when answering True/False questions that you should only answer "True" if the statement is…

A: A non-empty subset W  of a vector space V(F) is a subspace of V if and only if au+bv ∈ W for a,b…

Q: Find all critical numbers of the following function: t = f(t) = 3t¹/5 - 2t4/5

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Q: Suppose that the radius r and volume V = πr3 of a sphere are differentiable functions of t. Write an…

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Q: Find the domain of the vector-valued function. (Enter your answer using interval notation r(t) =…

A: To determine the domain of the given function

Q: Find the centroid of the region lying between the graphs of the functions yet and y | ICM усм 1 over…

A: Please see the below picture for detailed solution.

Q: 3. A tank contains 400 liters of brine holding 300 kg of salt in solution. Water containing 125 g of…

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Q: A The equation below gives the position s= f(t) of a body moving on a coordinate line (s in meters,…

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Q: Kaiden wants to enclose a rectangular field with two internal partitions as shown. If there is 17300…

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Q: If f(x) x+1 4x 3x + 5 13x + 5 3x + 3 13x + 1 3x + 2 and g(x) = 3x x + 3' then (gof)(x) is

A: given  f(x)=x+14x                        g(x)=3xx+3           gof(x)=g(f(x))

Q: (2, 4) & (3, 5) xy xy -1 −1 Slope in context 4 − 5 2-3 || 1

A: To find the slope with given points.

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A: Given: x2+z2=16 and x2+y2=16.

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A: Topic- Application of derivatives We are given, Apiece of cardboard of dimensions 14 inches by 13…

Q: dy - (2xy + y ²) 2+ dx B) Write the equation for the tangent line where x = 2 and y = 1. (2,1) 16 FL…

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

Q: 710 6. Evaluate tan exactly (no calculators).

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Q: To find the length of the curve defined by from the point (-3,210) to the point (3,276), you'd have…

A: Please see the below picture for detailed solution.

Q: Select each expression that has a sum of 4 4/12 3 1/5 + 1 3/7 1 11/12 + 2 1/4 1 3/6 + 1 1/2 + 1…

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Q: Find the derivative of the function. h(t)

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Q: Suppose that f(x) = e9-18x2. (If an answer does not exist, enter DNE.) (a) Find all partition…

A: **As per our guidelines, we are supposed to answer only the first 3 subparts of a question. Since…

Q: Find 이승 dy dx y=3(secx + tan x)(secx- tan x) 11 ***

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Q: Based on the graph below which of the following statements are true? Assume that the trend of the…

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Q: Find the second derivative. 6 Select one: A. 36 LIE

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Q: equation, find dy/dx evaluated at the given values. y²-x5= = -7 at x = 2, y = 5

A: Topic:- application of derivatives

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A: We have to find derivative of given function.

Q: What is 93rd derivative of cos(x)

A: The function is given by y = cosx To evaluate: the 93rd derivative of the function. Formula Used:…

Q: where c = m = 9 -5 6 w -6. -9 -12 d The net signed area in the above graph can be written as [² d =…

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Q: Part 1. Determine the value of (f-g)(0). Part 2. Determine the value of (fg )(0). Part 3. Determine…

A: We have given graph of functions f and g From given graph  f0=4 g0=4 g3=1 f1=2 g2=2