Find f'(a) at the given number a f(x) = (x2)/(x + 6), a = 3

Q: In Exercises 5-14, determine the convergence of the given series using the Ratio Test. If the Ratio…

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Q: 1. f(x). = X+I

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Q: Find the General Solution G.S. 1. (y² - 2xy + 6x)dx - (x² - 2xy + 2)dy = 0

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Q: 2. Let L be the line passing through points (-2,-5) and (3,4). Find the general equation of the line…

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Q: Question 1 dy 1) Consider the equation 25x² +9y² = 225. Use Implicit Differentiation to find da (c)…

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Q: Solve dy dr 3y-1x Er

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Q: Let g(x, y) = sin(8x + 2y). 1. Evaluate g(1, -2). Answer: g(1, -2) = sin (4) 2. What is the range of…

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Q: 22) Solve the following differential equations. 1) + y² -4 = 0

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

Q: Solve the matrix equation for X. 23) M= ET 14 -[-5²2) N =-12-20] X = MX-N -8 -5 (-14) +2 (-2) = -5…

A: The given matrix is; M= -5 2       , N= -14 14         1  4                -2   -20.

Q: (b) dy 3-4012 4xy + by2 ; dz = (1) y(1) = -1

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Q: (a) cos(0) = (b) tan(0) (C) sec (0) (d) csc (0) (e) cat (A) =

A: Topic:- trigonometry

Q: Find the slope of the tangent to the curve y = 3 + 4x2 - 2x3 at the point where x=a .

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Q: Find the derivative of the function using the definition of derivative. F'(v) = F(v) = V V + 3 3…

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Q: Please solve a. When tangent line is f(x)=x^3+4x and slope =-1, it is passing through point (2, a).…

A: Given tangent line is .... f(X)= X3 +4X       and slope = -1  f1(x) = ddxx3+4x         = 3x2+4 M =…

Q: 50. y” – 4y = sinh 2x variation of parameters

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Q: Without using a calculator, compute the sine and cosine of 300∘300∘ by using the reference angle.…

A: Given angle:- θ=300°

Q: A. Exact Differential Equations Verify that the following DEs are exact, then find the general…

A: The given equation is; [cos(x+y)+cosy-3x2]dx+[cos(x+y)-xsiny+ey(y+1)]dy=0

Q: -23+-13

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Q: Solve for the complete solution of the differential equation: 1. What is y(3)? y"+y' 2y = 0; y(0) =…

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Q: below. (If the limit is infinite, enter 'co' or '-co', as appropriate. If the limit doe

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Q: Use a graphing utility to graph the region bounded by the graphs of the equations. Then find the…

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Q: The daily cost per unit of producing a product by the Ace Company is 35+ 0.2x dollars and the price…

A: To find out the revenue function, cost function, profit function, marginal profit.

Q: answer the following questions about curves defined by parametric equations. Make sure to include…

A: solution is given below..

Q: 117 log(u) | ²7 = = = log (2) logcos 2 2 2 7. Use Logarithmic Differentiation to compute d Vcos² x(x…

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Q: 1 9. Σ n? + 1 n=1 E

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Q: 9. Let P denote the line segment from (1, −3, 1) to (−5, 3, 8). Compute Sp xy - z dr.

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Q: )A. Let,g(t) be the solution of the initial value problem with g(1)-1 Find g(t) g(t) 1/(14) B. Let…

A: We have to find the solution of the given differential equation.

Q: The rate of change in data entry speed of the average student is ds/dx = 4(x + 9)-1/2, where x is…

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Q: If f(x) = sin x, then lim f(x)-f(x) (A) - (B)-1

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Q: Use the method of Lagrange multipliers to solve this exercise. Hercules Films is also deciding on…

A: The given demand equation is  q=198000-11000p The revenue function is Rp,q=q·p. As the cost per copy…

Q: - If f(x) = 4x² – 20x + 21, evaluate_lim_f(8 + h) − f(8) h→0 h If an answer does not exist, enter…

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Q: Find the equation of the tangent line to the curve xy+x=2 at the point (-6, -4/3). Write the answer…

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Q: III. WITHOUT SOLVING the given problem, DEFINE the variables and unknown quantities, and SET-UP ONLY…

A: Cost of one case= P400 The selling price of one case= Px  Number of cases sold per month=300-2x

Q: Find the derivative of the function. y=2xe-3x −3ex4 dy dx ||

A: Given query is to find the the derivative of the function.

Q: Find y' for y= [1 + *(¹ + ³) ³. 3 3 X y' =

A: We need to find second derivative.

Q: Find zxand zyif z = x² tan-¹-y² tan-¹

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: 5.) Find the limit. When necessary, state that the limit does not exist. 2x2-x-21 lim, 7

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Q: Consider the function (for question G) S(x) ax³ bx³ + k G. What will happen to lim S(x) if a, b, and…

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Q: Find the derivative of the function. 3 1 F(t) = (st ²+ 1)² F'(t) = 15 (5r+1)* X

A: To find the derivative of given function.

Q: A projectile is launched into the air. The height of the projectile above ground can be modelled by…

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Q: Q1) Solve the following system of algebraic equations using matrix inverse method. 6 10-0

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Q: Find the General Solution G.S. 1. (cosx cosy - cotx) dx - sinxsinydy = 0

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Q: Algebra An airplane's altitude declines steadily by 29,750 feet over a 14 -minute period. Find the…

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Q: 18. 8T nn

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Q: A salesman sold ​$300 more than the rest of the sales staff. If the sales total for the day was…

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Q: If= 1π sin(0) = use the unit circle to find

A: Please refer to the image below

Q: Solved the following set of equations 16x +2y-2z = 16 2x 14y + 4z = -8 4x + 2y + 18z = 24 Using…

A: Find your answer, I solved using Jacobi method, upto 4 iterration

Q: Find (f 1)' (a) f(x)=3x³+4x²+6×+5₁ a=5 f(x) = x³ +3 sinx + 2 cosx, q=2 f(x) = 3+x² + ton (₂),…

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Q: Consider the indefinite integral 2² sin(4x) da. We wish to use integration by parts. To this end,…

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Q: Used the method of undetermined coefficient to find the general solution for the following…

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