At each marked point: draw a short tangent line and estimate the derivative at that point (write the value next to the point). If something does not exist, write DNE 1 2 w C B T 4 a O - R W

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Q: 5. Let f(x, y) = 3 xy³ x² + y6 (a) 0 (b) 1 (c) -1 (d) 1/2 (e) Does not exist. Find lim f(x,y). (x,y)…

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Q: 13.3 EXERCISES 1-6 Find the length of the curve. ad 1. r(t) = (1, 3 cos t, 3 sin t), -5≤1≤5 2. r(t)…

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Q: Question 4 ( Match each property with its name. DDDD Anticommutativity 2. of cross product Lagrange…

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Q: 4. If w = x²y + y²z + xz², show that дw Әх дw дw дz = (x + y + z)2.

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A: Second derivative test for maxima and minima :  Consider the function f(x) Find critical point f'(x)…

Q: 5 prove that the derivative of f(x) = 4(3) * can equal zero. never equal

A: f(x)=4(3)x we know  d dx(ax)=ax×lna

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Q: Suppose C(x) = g(t)dt where the graph of 0 g is given below. tu 0 X True 5 False 10 True or false:…

A: Suppose Gx=∫0xgt dt, where the graph of g is given below. To determine whether the following…

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Q: əz Use the chain rule to find and əs z = tan (4), дz at u = 7s + 5t, v = 5s - 7t

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Q: Question 19 >D Next If you know that f(x) = f'(x) = f'(x) and that f(-4)= 3 while f(-2) = 3e² then:…

A: here we have to find the integral.

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Q: Question 6 Solve the DE. If (x) is the solution to the DE, find (-2) y'=xe}-x’;y(0) =0 0.675 -0.675…

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Q: Solve the following DE. ( Variable Separable )  1. y' = cos2x cosy

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A: Given: limx→afx=7, limx→ahx=3 To find:  limx→2facosπx, limx→afxfxgx+3hx, limx→33-xx-3

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A: Solving the following problem

Q: 3) Evaluate ex*+¹sin (√x) dx].

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Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

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Q: Divide as indicated. - 25 4x-4 O A. B. ÷ 2 x +10x+25 2 x +4x-5 ²-25 4x-4 + 10x + 25 x2+4x-5 x²-25 x²…

A: To divide as indicated. x2-254x-4÷x2+10x+25x2+4x-5

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Q: Find for In (7y) = e sin (2x). dy dx dy =

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Q: 2. Prove that there is some positive number such that 07-20+ sin(0² + 1) = √5. Your proof mus quote…

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Q: 13. r(t) = t sin ti + e' cos tj + sin t cos tk ht

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Q: Suppose that Find f'(z). f'(z)=0 f(x+h)-f(x) = 5hx² − 4hz - 6h²x+8h² - 1h³.

A: Finding the definition of derivative.

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Q: Find the unit tangent vector to the curve at the specified value of the parameter: r(t) = 7+₁ -In(t)…

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Q: Find the instantaneous rate of change for the function at the given value. f(x)=x² + 4x atx=1 The…

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Q: (b) Find the velocity function v(t) of the rocket. i. Sketch the graph of v(t) on a separate graph…

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Q: Question Suppose that a revenue function is given by R(x) = e(x² - 1). 4 Calculate the marginal…

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Q: Write log(y) = p in exponential form.

A: As we know that, The property is to convert the logarithmic form to exponential. if logba=c, b>0,…

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A: Given:  fx=x2-7 if 0≤x≤b6x if b&lt;x To Find:  (a) To determine a value of b so that the given…

Q: Use mathematical induction to prove that 20 + 2¹ +2²+...+ 2n = nonnegative integers n. 2n+1-1 for…

A: The given result 20+21+22+.....+2n=2n+1-1 for all nonnegative integers n. We have to prove this…