Describe the x-values at which the function is differentiable. x² y = x² - 49

Q: 1) fx²e-3x dx/

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

Q: 2 Find [¹² (4x + 3y)* dady. Write (4x + 3y) ¹dxdy. Write your answer in exact form.

A: To find

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Q: Let A(z) = f(t) dt, with f(x) shown in the graph below. 3 2 At what a value(s) does A(x) have a…

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Q: The limit represents f '(c) for a function f(x) and a number c. Find f(x) and c. [9 3(1 + Ax)] - 6…

A: limΔx→0[9−3(1+Δx)]−6Δx

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Q: K An apple farm yields an average of 43 bushels of apples per tree when 23 trees are planted on an…

A: We solve the given problem by using the concept of derivative.

Q: 5- 4+ 3- 2- 1 -1 -2 -3 -4 -5 J/2 Find lim f(x) XIT л 37/2 The graph of the function f(x) = cotx is…

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Q: Find the area of the region that lies inside both curves. r = 5 + cos(0), r = 5 cos(0)

A: r=5+cos⁡(θ),r=5−cos⁡(θ)

Q: Use the function f(x)=x^2-6x+13 to answer how to algebraically find the vertex.

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Q: Consider the function graphed to the right. Make sure to use the union symbol, U if needed. The…

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Q: Find d'y if (x)=3x³ (√x-2). d³y dx³

A: To find Note: Since the student has posted multiple questions and does not mention any specific…

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: 1 8 Q1. Let f(x, y) = 3xy + / - 1. Т

A: f(x,y)=3xy+1x−8y

Q: lim √xe-x/2 x → 00

A: L=limx→∞xe−x/2

Q: 2x + 1 < 5

A: 2x+1&lt;5

Q: Sketch the region of integration, reverse the order of integration, and evaluate the integral. }} dy…

A: To find:-

Q: Q/ solve equations 1- y' = ky 2-x(1+y²) dx =y(1+x²) d;

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Q: Does the series below converge or diverge? If it converges, find its sum. Either way, justify your…

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Q: Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method,…

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Q: 5. (x² + y²) dx + 2xy dy = 0. Solve by two methods.

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Q: 3 f(x) = x³ – 3x² + 4

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Q: Use the properties of logarithms to expand the logarithmic expression. In (34) 94

A: By using the properties of logarithmic functions to expand the expression is     ln(x/94)

Q: Let f(x) = -3x√x + f'(x) = -8 35 -4 4 -18x³√x - ³x³√x + 24x¯4√x - NIG F X X

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Q: List the four smallest elements of the set. (Enter your answers as a comma-separated list.) {y|y =…

A: {y|y = x2 − 3, x  integers}

Q: Solve the second order. Dieg - Ý - ý syes 1 39

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. π [7] 0, 2 f(t)= 2…

A: In this question, we will find the absolute maximum and minimum values.

Q: dy dx - 5ln(t), y = 4t² - 4t-2

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Q: Find the following using the table below. x f(x) g(x) g'(x) 14 74 23 3 1 2 4 3 4 3 h' (2) if h(x) =…

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Q: Jo sin(y²) dA, where D is the region bounded by D y = 2x, y = 2, x = 0. Evaluate

A: The D is the region is The figure of region D

Q: v+1 v-15 Determine the intervals on which g is concave down. Consider g(v): Og is concave down on: O…

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Q: Consider h(z): 2 5 - Oh is concave down on: Oh is concave down nowhere. 1 2 Determine the intervals…

A: Consider the function To determine the intervals on which  is concave up and concave down.To…

Q: Let f(v) = v +17 v + 12 Determine the critical values of f. Write exact answers. Do not round off.…

A: Given,

Q: Find the area of the region that is enclosed between y = 6x² − x³ + x and y = x² + 7x. Part 1: Where…

A: First draw the both graphs and find the intersection points by equating to each other than integrate…

Q: Z₁ cos# = 2 V₁ 1 V +(x-2- sin e Z₁ cos Z₁ X + V₂ V₂ cos 9) +1/+ Z₁ 1 V. cose V 2 -sin 0 +

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Q: A company is planning to manufacture snowboards. The fixed costs are $400 per day and total costs…

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Q: Find when 6x² + 3x³y - 2y = 40. dy dx dy dx The slope of the tangent line to this curve at the point…

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Q: Find the general solution of the ODE: y' y²-6y+10 = 1 =

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 4+x² - y2…

A: The given function  and region R

Q: 2x dy + y(2 + y²x) dx = 0

A: The given differential equation is

Q: (3) Find the general solution of the following different equation (2x³ − xy² −2y + 3)dx − (x²y + 25…

A: Given Differential equation

Q: Solve. X-4 7x + 5

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Q: Find the derivative of the function at Po in the direction of A f(x,y.z)= - 3e cos (yz). Po(0,0,0).…

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Q: Find the horizontal and vertical asymptotes of f(x). 2x² f(x)= Find the horizontal asymptotes.…

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Q: Solve | | - 3x +8 24

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Q: Consider the equation below. f(x) = 4x³ + 9x² - 54x + 1 (a) Find the intervals on which f is…

A: In this question, we will find the interval of increasing and decreasing.

Q: 11 Consider g(y) = -6y + -3² + Determine the intervals on which g is concave down. g is concave down…

A: Given,  .For inflection values put g'(y)=0If g''(y)&gt;0, than concave up.If g''(y)&lt;0, than…

Q: Find aw/as and aw/ât using the appropriate Chain Rule. Function Values w = y³ - 2x²y x = es, y = et…

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Q: Find an equation of the normal line to the parabola y = x² - 8x + 4 that is parallel to the line x -…

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