Use the graph of f to evaluate the following: 6 T 5 4 3 2 f(x) 1 x 1 2 2 3 4 5 6 -1 The average rate of change of f from 1 to 4 = Question Help: Message instructor

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A: We need to find a particular solution to the differential equation:  y′′+y=cost1​ Step 1: Identify…

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A: Here is the step-by-step explanation:We will solve each problem step by step, using the relationship…

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A: If you have any problem let me know in the comment box thankyou.

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A: We are given a magnitude of 23 and an angle of 45 degrees with the positive x axis.The vector in…

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A: From the given graph we can see, At x =-3 , at x =-2 and x =3 graph is crossing x -axis also at x =…

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A: The formula for the area of a sector is:  A=360∘θ​×πr2  where:• θ = 260° (central angle)• r = 11 mi…

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A: Approach to solving the question: Lets Solve this question By Using Stokes' TheoremStokes' Theorem…

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A: Step 1: Step 2: Step 3: Step 4:

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A: Step 1: V by Slicing method:   Region bounded by y=16x​ and y=16x2​  The region is bounded by above…

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A: (a)  g(x)=x1.4+2x2.5+1​ Step 1: Identify the numerator and denominator Let u=x2.5+1 (numerator)Let…

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A: Step 1: Step 2: Step 3: Step 4:

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A: Given function: h(x,y,z)=y7−4xln(x)−z​+y43x2z​−e2xyln(z)+10y2z We need to compute the partial…

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A: Step 1: Step 2: Step 3: Step 4:

Q: slove the initial-value problem. y'' + 7y' + 12y = 0, y(0) = 2, y'(0) = 8

A: We begin by finding the characteristic equation for the differential equation  y′′+7y′+12y=0 Step 1:…

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Q: I) For what value(s) of x does g(x) = -4? Separate multiple answers with commas as needed. J) Give…

A: Step 1: Step 2: Step 3: Step 4:

Q: j) f) lim x+x ex g) lim Inx h) lim x-5 i) lim arctan x x700 lim arctanx 811x

A: Final Answers: (f)limx→∞​exx​=0. (g)limx→∞​lnx=∞. (h)limx→∞​x−5=0. (i)limx→∞​arctanx=2π​.…

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A: The function f(x) = -7e^x \sin x is a combination of two functions, we must use the product rule of…

Q: Λ Content Mind Tap - Cengage Learning × Function Evaluations x + c/nb/ui/evo/index.html?elSBN…

A: The function f(x) is defined piecewise:  f(x)={2+1−x​,1−x1​,​if x≤1if x>1​  Step 1: Compute…

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Q: 16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d)…

A: Final Answers(a) x=1(b) x=−9/17(c) x=−2/3,−1(d) x=25(e) x≈2.4(f) x≈0.234

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A: Please feel free to comment if you have any questions

Q: B G R + K Match each equation with a graph above - 3(0.9)* 1 a. green (G) 3(1.5)* b. black (K)…

A: Let's analyze the equations and match them to the graphs based on their properties:General Form: All…

Q: Let 4x³ +3y3+42³ + 2xyz – 125 = 0. მ: მ Use partial derivatives to calculate and at the point (2,…

A: Given equation:  4x3+3y3+4z3+2xyz−125=0 We want to find:  ∂x∂z​ and ∂y∂z​ at the point (2,−1,3)…

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

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Q: Show that i cote +1 = cosec 20 tan 20+1 = sec² O २ cos² + sin 20 = 1 using pythagon's theorem

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Q: Find the distance from the point (-9, -3, 0) to the line ä(t) = (−4, 1, −1)t + (0, 1, −3) .

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Q: (4,4) M -4 2 2 -4 (-4,-4) 4 8 10 12 (8,-4) (12,-4) Graph of f The figure shows the graph of a…

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Q: Suppose the planet of Tattooine currently has a population of 6500 people and an annual growth rate…

A: Given, Initial population (P0) = 6500Annual growth rate (K) = 0.35% = 0.0035 We know that,…

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A: Given that the population increases by 25% each spring and 10000 lobsters are removed each summer,…

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Q: Find a parameterization for a circle of radius 4 with center (-4,-6,-3) in a plane parallel to the…

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Q: The partial fraction decomposition of f(x) 4x 7 g(x) + where 3x4 f(x) = g(x) = - 52 –10 12x237x+28…

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Q: 3. Consider the initial value problem 9y" +12y' + 4y = 0, y(0) = a>0: y′(0) = −1. Solve the problem…

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