f(x, y) = ln(36x + 5y) + 6x² - 5y Local maxima are Local minima are Saddle points are

Q: If $700 is invested at interest rate i, compounded annually, in 5 yr it will grow to an amount A…

A: dxndx=nxn-1given  A=700(1+i)5

Q: Find the interest on the following loan. $6000 at 4% for 9 months The simple interest is $ (Round to…

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Q: a. lim f(x) = x→∞ b. lim f(x) = x→ ∞ c. lim f(x) = x 4 d. limf(x) = x→→-1/5 e. lim f(x) = x+3 -12 -9…

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Q: 5. On what interval is the curve concave downward? Y t² t² +t+2 = √₁²% S -dt

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Q: Find the most general antiderivative or indefinite integral. (8 + tan ²0) de (Hint: 1+ tan ²0 = sec…

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Q: Suppose you are the manager of a firm. The accounting department has provided cost estimates, and…

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Q: Find the function y = ax²+bx+c whose graph contains the points (1,13), (-2,-8), and (2,28). What is…

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Q: 4. A rectangle is inscribed with its base on the x-axis and its =7-x² with the upper corners qu What…

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Q: Consider the following. = sin(10), y = cos (a) Eliminate the parameter to find a Cartesian equation…

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Q: How many years will it take for an initial investment of $14,000 to grow to $33,600 if it is…

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Q: Given the following vectors, calculate -10u u=(-8,-2),v=(10,-6)

A: Given query is to find indicated vector.

Q: { 2. L-¹ 6 (s+3) 2S-1 s° -2$

A: we have to evaluate L-16s+34-2s-1s2-2s   now   2s-1s2-2s=2s-1ss-2=121s+321s-2   then…

Q: Differential Calculus Direction: Differentiate the following trigonometric functions: Part I. 1) y =…

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Q: Find the degree three Taylor polynomial T3 entered at x = 0 for f when f(x) = 1 (4x + 1)1/2 1. T3(x)…

A: As we know the nth order Taylor's polynomials at x=x0 is given by:…

Q: If  f(x) = x2 + 2x + 1   then f(-1) =

A: Given, f(x)= x2+2x+1

Q: Use sigma notation to write the sum. [(-)()-(0) + + Σ i = 1 3 3

A: We are required to find the sigma notation of the given series.

Q: . Find the area between the curvey = x² and the straight line y = 8x - 4.

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

A: We need to find cartesian equation.

Q: If $4,000 invested in a bank account for 5 years, compounded quarterly, amounts to $4,871.10, what…

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Q: 20, 21) S Omt Ð That {to nat { 9. Sin (0) Cos (36) + Cos (0) Sin (36) = G Solutions in the interval…

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Q: Express the limit as a definite integral on the given interval. 2x;* + (x;*)² Ax, [1, 6] lim n→∞ dx

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Q: 2²4 2² The two-dimensional Laplace equation 2+2=0 describes the potentials and steady-state…

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Q: Given the following vectors, calculate -7v u=(6,-8)v=(6,-5)

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Q: The series below is an alternating series that converges. Calculate the sum of the first 3 terms,…

A: We need to find sum and error.

Q: 1) Choose two vectors a and b with all components nonzero. Determine the (approximate) angle between…

A: Topic = Vectors As per guidelines , At a time only one question can be answered. Please repost for…

Q: Given the graph of f(x) below, find the graph of the derivative of f(x). -6-5-4 2 3 4

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Q: A bacteria culture grows with a constant relative growth rate. After 2 hours there are 400 bacteria…

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Q: 3x ſ¹ S³* S*** ( 3x + 4y − 5z) dy dz dx - -2x x-z

A: The given integral is  ∫01∫-2x3x∫x-zx+z3x+4y-5zdy dz dx

Q: function is never increasing or decreasing, enter NA in the associated response area. easing:…

A: We  will find the required.

Q: 3. y = 1+5x Inx

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Q: Find the length of the curve. (2t+1)³/2 1² X = 2₁ Y = - 3 The length of the curve is 0≤t≤2 (Simplify…

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Q: Find the interval of convergence of the se- ries n=1 an n+3 1. interval of cgce (-3, 3] 2. interval…

A: use the ratio test for finding the interval of convergence.

Q: (e). Find the area of the shaded region in the figure. 120 Answer: 18 6 -18 (²57-13-127-9√3

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Q: Evaluate the integral. √√2 √√2 히 du du (Simplify your answer.)

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Q: Find the amplitude and the period in radians. Then sketch the graph using radians. 7) y = 2cos 40 Зл…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: The value of this limit is We this to find the equation of the largent line to the parabela y + 3y²…

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Q: Let H(x) = X S 64-1² dt, for -8≤x≤8. 0 a. Evaluate H(0). b. Evaluate H'(3). c. Evaluate H'(8). d.…

A: "According to the guidelines issued by the company We are supposed to answer only first three…

Q: Compute the percent relative error in computing the area of a square whose side is measured with an…

A: We need to find error in area.

Q: Find the tangent line approximation T to the graph of fat the given point. Then complete the table.…

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Q: 8. Find the absolute maximum and absolute minimum values of the function on the given interval. Be…

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Q: Use sigma notation to write the sum. 5 5 5 3 + 1 3 + 2 3 + 3 A i = 1 + + + ... + 5 3 + 12

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Q: Find a power series representation for the function = x sin(5x) on (-∞, ∞).

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Q: Evaluate f (5ydy + 3xydx) C if C is the closed curve determined by the x-axis, the parabola y = x²…

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Q: Find an equation of the plane passing through the point perpendicular to the given vector or line.…

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Q: Express the following in complex exponential form: x[cos (yº) + jsin(y)] Where x = 10 and y = 128.…

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Q: Find the slope of the tangent line to the graph of f(x) [Α] Ο [B] 1 [C] -1 [D] ¹ [E] 1 = √= x+

A: We have to choose the correct option from the given options according to the given information

Q: Write the first trigonometric function in terms of the second for in the given quadrant. tan (0),…

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Q: ܠܝܠܬܐ ܐ 1. - 2 Cos (36) = 1 Croitues Find an Solutions in the interval (0,25)

A: Given query is to solve for angle θ.

Q: Find the solution of the following differential equations. Show your solutions 6. (D6 + 3D + 3D² +…

A: To find the soution of the following differential equation.D6+3D4+3D2+1y=0

Q: Which one of the following could be the graph of the curve given parametrically by x(t) = 3-t², y(t)…

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