Find the tangent to y =√x-x+10 at x = 10.

Q: Find the points on the curve x = t² - 16t – 5, y = t² + 14t + 7 that have: A. a horizontal tangent…

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Q: 10) tan x = 3.7 A) 1.31, 4.45 1.31, B) 1.31, 2.88 C) 1.31, 4.97 D) 1

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

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Q: A sports watch has a price-demand equation given by p = D(x) = 50.2-0.0567142x dollars, which gives…

A: I have appended the formula used in solution procedures

Q: -2x-8 ·(x-1) ³.) 4x+26 f"(x) = (x-1)² fars= 2x+3 (x-1)²) f'ox) = or a) Find the intervals on which…

A: The given function is The first derivative of the function is The second derivative of the function…

Q: Question 7 Use first (a) (b) principles to find the derivative of f(x) = x² + x f(x) = -√√x

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Q: Use multiplication or division of power series to find the first three nonzero terms in the…

A: By using multiplication or division of powerseries to find the first three nonzero terms in the…

Q: Let f(x) = x^4 − 4x^3 − 20 (a) Find the zeros of f"(x). Then decide which of these are inflection…

A: According to our guidelines we are supposed to answer only the first three subparts of the question.…

Q: f(x) = 2x + 4 sin(x), 0≤ x ≤ 2π

A: The given function is

Q: Consider the function f(x) below. Over what interval(s) is the function concave up? Give your answer…

A: given function

Q: Evaluate the indefinite integral as an infinite series. | arctan(x3) dx ]) + c C ( n = 0

A: The given integral .The aim is to solve the indefinite integral as an infinite series.

Q: Find the general Solution For D-E tan² (x+y) dy

A: The given differential equation

Q: Find horizontal asymptotes A) y = f(x)= x+3x-5 2x² + 3x³

A: Since you have asked multiple questions, as per company guidelines we will be answering only first…

Q: The number of bacteria in a culture is increasing according to the law of exponential growth. There…

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Q: 1. Describe the convergence of the series 3! + 3² + + (n+1)² (n + 2)! +

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Q: Question 2 Suppose an > 0 for n≥1 and lim Wan < 1 n→∞0 What can you conclude regarding 1 an? The…

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Q: Without eliminating the parameter, find 1 2-80-2 -t⁹. = = 9 d²y dx² at t = 2

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Q: Consider the series. (−1)n+115n-1 (n+3)5 14n+2 In this problem you must attempt to use the Ratio…

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Q: There is at least one polynomial function which satisfies the conditions below. F(8)= 56; F'(x) is…

A: we have and F'(x) is non zerofind F(x)?

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: f(x) || 1 x² + 1

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Q: Use power series operations to find the Taylor series at x = 0 for the following function. cos²x…

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Q: Evaluate the Taylor series expansion of degree four for the given function at the specified point.…

A: given

Q: * Find dy dx = the general Solution of :- - X+3x2 √x² + 2x³² 2

A: We use the variable separable method to solve the given differential equation.

Q: Find the point on the curve e +x where the tangent is parallel to the line y = x.

A: The given equation of the curve is  and the equation of the tangent line is

Q: Find the arclength of the curve x = 5t 9, y = 12t – 3 with 2 ≤ t ≤ 5. -

A: x=5t-9y=12t-3

Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. in lim Σ 318…

A: To determine a region whose area is equal to to the given limit. To do not evaluate the limit.

Q: Use Q23 implicit different to find dy ldx X²y + xy ² = 6 +2

A: You have posted multiple question in this question which are not interlinked so i have solved first…

Q: * Find the general Solution of.. dy dx = 2 + 3y

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Q: Approximate the area of the region bounded by the graph of f(t) = cos (t/2 - 3/8) and the t-axis on…

A: given funciton

Q: 2 X Estimate the error if P₂(x) = 1 - is used to estimate the value of cos x at x = 0.2. 2 |Error <…

A: To estimate the error in the given function.

Q: A hemispherical tank with a radius of 8 m is filled from an inflow pipe at a rate of 4 m^3/min ​(see…

A: The hemispherical tank of radius

Q: Congratulations! your answer is correct (and saved). Check Answer/Save Step-By-Step Example Find…

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Q: Determine whether the lines LI and L2 are parallel, intersect, or are skew: L1: x= -1 + 4t, y =…

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Q: A company determines that its marginal revenue per day is given by R'(t), where R(t) is the total…

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Q: he approximation ex = 1+x+ - is used when x is small. Use the Remainder Estimation Theorem to…

A: Given approximation ex =1+x+(x2/2).We have to find error in this approximation by using remainder…

Q: Given. [₁3 Evaluate. 3x√x² +9dx = 10√10 - 27 [₁³ 3u√u² +9du

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Q: For this problem, you will need to use the Desmos Riemann Sum Calculator. (This link opens a new…

A: We have to find the exact area bounded by f(x) and the x- axis on the given interval using Left,…

Q: b) The rectangles in the graph below illustrate a ? The value of this Riemann sum is the vertical…

A: given function

Q: Find the exact slope of the tangent line to the parametric curve x= 4 cos(t) y = 8 sin(t) at the…

A: {x=4cos⁡(t)y=8sin⁡(t) at the point where t=π6

Q: f(x) = 3x - 2 Submit multiple values as a comma-separated list. Do not round any value. C=

A: Given function F(x) = x2/(3x-2) on (1,2)

Q: Find the critical points of ƒ(x,y) = (x³y - y³) 5

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Q: 10. An electric scooter manufacturer estimates that the cost C (in dollars) of producing x scooters…

A: Given, Where C is the cost of producing x scooters in dollars  We have to find the production level,…

Q: tan ¹ (sin x) √√x D) lim-

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Q: Tutorial Exercise If fis integrable on [a, b], the following equation is correct. [" f(x) dr = limf…

A: We have to find the value of the limit to evaluate the integral.

Q: Solve the following integration :- 5 (x-3) (x+5) (x-2) dx

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Q: For f(z,y)=z²+²-42-10y +100 determine local extreme points if exists.

A: we have given funciton

Q: 2. Sketch the graph of the quadratic y=- =-2(x+3)² +8 by using a series of transformations. Show all…

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Q: sin (2x) = 4 cos(x)

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Q: A1. Milk or meat production Y per day is best explained by the inputs: feed needed per day in kg,…

A: The objective of this question is to determine the Lagrangian, find the First Order Conditions…