2. Consider the graph of the function f(x) = 5x² - 8x. Calculate the slope of the secant that joins the points on the graph given by x = -2 and x = 1.

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Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 4  where the tangent line is horizontal. (x,…

A: Given query is to find the tangent line is  horizontal.

Q: For the sequence defined by: a₁ = 3 an+1 Find: a2 = a3 || a4 = 5 an - +3

A: given  a1=3an+1=5an+3

Q: 4. By changing the order of integration, evaluate IS rdx) a rdra parccos(y)

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Q: Find the inverses of the matrices in Exercises 29-32, if they exist. Use the algorithm introduced in…

A: (29)  A=1247if  A=abcdthan A-1=1ad-bcd-b-ca

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A: According to question, Given data, Height of plane = 400 m, Angle of elevation = π6

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Q: Find √ √ (4x + 5y)dA where D = {(x, y) | x² + y² ≤ 9, x ≥ 0} D

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Q: Differentiate y = ln(2e¯ª + xe y' = 0 xe¯x).

A: y=ln2e-x+xe-xd dx(lnx)=1xd dx(ex)=exd dx(a.b)=a×dbdx+b×dadx

Q: If csch x= (√39/5) and x > 0, find coth x

A: given csch x=395we know 1+csch2 x=coth2 x

Q: Let f(x, y) = 3x²y + xe³ _ . _X (a) Find the partial derivatives fx and fy. (b) Compute the…

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Q: The total resistance R of two parallel resistors S and T' is given by Thus DsR = DTR = and R = ST…

A: Given

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Q: Consider the region R bounded by y=1-x² x = 0 and y=0 [This region is used to answer questions a -…

A: Given curve, y=(1-x2) and x=0 , y=0 The region R is by the curves,  y=(1-x2) , x=0 , y=0

Q: 3 2 MA 5 Based on the graph above, estimate to one decimal place the average rate of change from z=1…

A: To find average rate?

Q: Solve differential S Xy²y¹ = x +5

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Q: Find the dimensions of the box with volume 2744 cm3 that has minimal surface area. (Let x, y, and z…

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Q: Find all critical points of the function f(x) = x² - ²x² - 54x + 5. (Use symbolic notation and…

A: Given that the function is fx=x3-92x2-54x+5. It is required to find the critical points of the…

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Q: 2. All multiple choice must include work or worded explanations. 1 g(x) dx = 5, then [₁8(x) dx = -…

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Q: Question: To evaluate the integral ve use | √2²-Adz, elect one: Substitution with x = 2 sec 0, where…

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Q: What is the root of the following function f(x)= log(2x+5). Report answer up to two Selected Answer:…

A: Given: f(x)=log(2x+5)

Q: em #4: What is the domain of the function f(x, y) = x¹y¹/5 - 9 ln.x? (A) {(x, y):x>0} (B) {(x,y) :x…

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Q: Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral…

A: Using Trapezoidal rule

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A: NOTE: Refresh your page if you can't see any equations. . the given table is  x 4 5 8 9 y 6.7…

Q: Suppose that f(x, y) = 6, and D = {(x, y) | x² + y² ≤ 1}. 2 Then the double integral of f(x, y) over…

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Q: Question: True or False: To evaluate the integral 1 | /9-² we use substitution with x = 3 tan 0,…

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Q: What is the value of A - T 3 B C D - T 5T 7π sin 2 /?

A: Given query is to find the value of expression.

Q: Consider a price-demand model for tickets to see a specific hockey team play. The price p of a…

A: Given cost function C( q ) = 54q + 50000demand function p = 148-0.01q

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Q: - y² = 4 in the first quadrant.

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Q: Write an equation for the function graphed below -6 -5 -4 -3 y = -2 2 + 3 4 5 Q

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Q: The base of a certain solid is an elliptical region with boundary curve 9x² + 16y² = 144.…

A: Given, The base of a certain solid is an elliptical region with the equation 9x2+16y2=144 Cross…

Q: dw Use the Chain Rule to find &#: w = xysinz; Dx = xet, yet, zzaresin 2

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Q: A company manufactures and sells x smartphones per week. The weekly price-demand and cost equations…

A: According to question,Given Functions,p = 500-0.5x,Cx = 20,000 + 135 x

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Q: Find the derivative of the function f at any real number c. Use the form f'(c) = lim X→C f(x) = 3 -…

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Q: Compute the following limit x lim x0 e 1

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Q: Calculate the derivative indicated. d'y dx4x=9, y = 4x-3/4

A: Given query is to find derivative.

Q: Concave down. (Enter your answer using in n points of f(x). (Enter your answers as a

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Q: Which of the following conditions form the HYPOTHESIS for the basic form of L'Hopital's Rule? Let f…

A: Use the concept of L’Hopital’s rule when determining a limit.

Q: Let 6 sin x + 3 cos y = 4. dy dx d²y dx² -0

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Q: Draw a graph of f(x) = additional point on the graph. 1 1 -5 -4 -3 -2 -1 4 3 2 H -1 -2 -3 -4 -2x -…

A: We can draw the given function by using the vertical and horizontal asymptote and two points on the…

Q: 1.. Compute the following integral using partial fractions decomposition: dx (x-3)(x-2) Start by…

A: ∫1x-3x-2dx

Q: Find the horizontal asymptote of the function. Give your answer as an equation of a line. If an…

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