- f(x) = 2 I I 36 6

Q: 3) 3 sin x + 5 sec x tan x COS X √³5 dx

A: V=∫3sinx+5secxtanxcosxdxtanx=sinxcosxsecx=1cosx∫1xdx=lnx

Q: Use the quotient rule to differentiate the function x + cos x y = et

A:

Q: (Hint: Rationalize twice) (ii) Use the result of part (i) to evaluate lim #42 (Hint: It's a one line…

A:

Q: 3. Let f(x) = c.(x-4)+2 if 0 ≤x≤4 if x > 4 where c denotes a real constant. (a) Show that lim f(x) =…

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Q: al expansion elther Pascal's Triangle or bination lator) to expand (7a³ + 4b)³. Show every step and…

A: Topic:- application of algebra

Q: dividing the polynomial P(x) by x+6 yields a quotient Q(x) and a reaminder of 10. If Q(6)=-5, find…

A: Topic = Algebra

Q: x² - 49 +8 dx

A: Topic:- application of integration

Q: Let lim g(x)=8_and_lim h(x) = 5 x→4 x→4 Determine the value of the limit h(x) lim x→4 x + g(x)

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Q: Find L-tan -¹ (7/²)

A: We are asked to find the inverse Laplace

Q: Use the indicated substitution to evaluate the integral. Let x = 13 tan (0). (Give an exact answer.…

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Q: f(x) = sin -¹(√sin (v sin 0

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Which of the following functions maps the red function (y=x)onto the image function? a) y = -x+2|…

A:

Q: 3. Write the first five terms of the sequence given by an = (-1)" (2n + 1). Show all work. Write…

A: given  an=(-1)n(2n+1)for a1, put n=1

Q: Write the function below in the form y = f(u) and u = g(x). Then find as a function of x. dx y =…

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Q: For F(x) = x (f(x) + g(x)), find F'(x) given that f(x) = 3, f'(x) = 1, g(x) = -6, and g'(x) = 0.…

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Q: Determine if the sequence {a} converges or diverges. Find the limit if the sequence converges. an =…

A: Given query is to find sequence converges or diverges.

Q: Consider this ordinary differential equation (ODE): dy da At the point (-0.5, 1.5), the direction…

A:

Q: Find all solutions 2 tan² x-sec²x+3=1-2 tanx on the interval [0,2TT).

A: Given: 2tan2x-sec2x+3=1-2tanx, [0, 2π)

Q: Find all Where bothe the values of X the tangent horizontal 3 2 X²³ - 3x²³² - 8x +14 23 line 13

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Q: 4x (11+x) Find the first few coefficients. Suppose that Co= C1 = C2 C3 C4 = 0 Σcn n=0 n OF Find the…

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Q: 31. Sketch a graph of f(x)= x³ +7x² +8x-16. Identify the x- and y-intercepts of your graph.

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Q: Find the sum of the series below. Σ n=1 40n (2n-1)² (2n + 1)² The sum of the series is

A: NOTE: Refresh your page if you can't see any equations. . use the telescoping series test

Q: y dy (13.) x = dx دول = 2xe* - y + 6x² 14. (3x²y + e') dx + (x³ + xe - 2y) dy = 0 3 3 (15.) (1+y)dx…

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we…

Q: The left, right, Trapezoidal, and Midpoint Rule approximations were used to estimate [²0 f(x) dx,…

A: We need to find the value of left, right, trapezoid and midpoint rule value

Q: Find the critical point of the function f(x, y) = − (36x + 6y² + ln(|x + y))) . C= Use the Second…

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Q: Use Lagrange multipliers to find the point (a, b) on the graph of y = 5, where the value ab is as…

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Q: Find the instantaneous rate of change of the function f(x)=x^(3)+8x when x=-3

A: The given function is: fx=x3+8x  Find the instantaneous rate of change of the function at x=-3

Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A: we supposed to do only first part of multiple  I=∫xcos(5x)dxu=xdv=cos(5x)dxwe know that…

Q: List five vectors in Span v₁, {0₁₂,027}. 0 89988

A:

Q: Due to changes in the environment the fraction of the population in Artemis (fictional) with…

A: see below the answer and calculation

Q: Let ƒ(x) = 4x + 3x². Compute the difference quotient f(x + h) − f(x) h and simplify it so that it…

A: Here we have to find the value of 'c'.

Q: Find the indicated Midpoint Rule approximation to the following integral. 10 ₂0 2x² dx using 1, 2,…

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Q: A contour map for a function f is shown. Estimate the value of f(3, 14) 20 15 10- 5+ 70 f,(3, 14) 10…

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Q: . small funnel in the shape of a cone is being emptied of fluid at the rate of 12 cubic centimeters…

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Q: 1 Q #8 Using implicit differentiation, prove (arctan x)' = - Similar to proofs of (arcsin x)' and…

A: The given data is: Using implicit differentiation, prove arctanx'=11+x2

Q: Find A and B so that f(x, y) = x² + Ax + y² + B has a local minimum at the point (5,0), with…

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Q: Find y'' for y = 4+ or y= (4 + ³) ³. X y"=0 3 5

A:

Q: Find the absolute maximum and minimum of the function f(x, y) = x² + y² subject to the constraint x²…

A: Given data : f(x , y) = x2 + y2 ; Constraint is x4 + y4 = 1

Q: Find the derivative of the following function. f(x)=√coth (-3x) f'(x) =

A:

Q: 妇 31. The plane through the points (0, 1, 1), (1, 0, 1), and (1, 1, 0)

A: Note: Since the student has mentioned to solve question no. 31, so we are solving according to…

Q: The widths (in meters) of a kidney-shaped swimming pool were measured at 2-meter intervals as…

A:

Q: 1. a. Carefully graph f(x)= x³ − 3x² + 3x−1on the window xmin = -1, xmax = 4, ymin = -1, and ymax =…

A: As per our guidelines, we are advised to solve only three subparts of 1st question. Please ask other…

Q: 1a) The position of an object at time t is given by P(t) = 4t² − 4t + 3. Find the time t = a so that…

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Q: Given f(x, y) = sin(x + y) where x = st5, y = 6s-5t. Find ft =

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Evaluate the definite integral. In 19 S 0 tanh x dx In 19 S tanh x dx = (Type an exact answer.) 0

A: F=∫0ln19tanhxdxwe know  elnx=xtanhx=ex-e-xex+e-x

Q: Q.#3 For 2x²+xy-y²=2, please find each of the derivatives requested below. Final Answer b) a) dx dy…

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Q: Find the absolute maximum and minimum of the function f(x, y) = x² + y2 subject to the constraint…

A: Given function:- fx,y=x2+y2 Let gx,y=x4+y4-1

Q: Compute the mean, median, and mode of the data sample. (If every number of the set is a solution,…

A: This question of calculus  here data given  we have to find the mean, median and mode of data…

Q: 7. For the following questions, use the graph of y = f(x) below. -4 -3 -2 1 4 -2 ON 4

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Q: For the given functions f and g, find the requested function and state its do f(x) = x-9; g(x) = 9x²…

A: Given query is to find indicated function and it's domain.