If f(x) ƒ'(x) = f'(5) = = tan x sec x 2

Q: 5. [3] Determine the value of k when x³ + kx² + 2x -3 is divided by (x-1) and the remainder is 2.

A: Solve division method

Q: 0.016t The population of a town is increasing at a rate given by P'(t) = 34 e where P is the…

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Q: 1. Find the general solution: y"

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Q: Find the limit. X+1 lim 2 x-1x + 5x +4 X+1 lim 2 x-1x + 5x +4 (Type an integer or a simplified…

A: We have to find the limit  limx→-1 x+1x2+5x+4.

Q: It is known that f g (x) dx = e³, f₁ g(x) dx = 4, and g(x) dx = 12. Find g(x) dx. O e5 - 8 e6+16 es…

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Q: Evaluate the definite integral. Give the EXACT ANSWER. (no decimal approximations) 4 (2x²-4) dx =

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Q: Graph the function f(x) = x^2 - 2x/ 2x^2 - 3x -2 Please name any x-intercepts or y-intercepts…

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Q: tal derivatives of the following function dz: z = 4x² - 3xy + 2y², where x = (CW P.193, Exercise…

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Q: Solve the problem. Find an equation for the least squares line representing weight, in pounds, as a…

A: Solution: We can directly use here Excel for regression, Step1) Enter data in Excel.

Q: [ t(2t2 + 2)-1/2dt (vx-2) dx . √x 6. [ V2x2 + 2 (4x)dx 4. 5. بیای

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Q: Maximize f(x, y) = √11-x² - y², x + y - 2 = 0.

A: The given function to maximize is: f(x,y)=11-x2-y2 with the constraint g(x,y)=x+y-2=0...(1)

Q: I. Find the slope of the tangent line m and the equations of tangent line and normal line at the…

A: To find the equation of tangent line & normal line.

Q: Consider the graph of the following function. f(x) 5+ 4- 3- A- -5 -4 -3 -2 -1 0 (-∞0,00) O(-3,4) O…

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Q: A certain bacteria culture is known to grown at a rate proportional to the number of bacteria…

A: Substitution and calculation is the key for such problems.

Q: c) h(t): 5t e (t² + 1)^

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Q: 2014 O ०.२ ०.०२ 0.02 0.08 0.4 0.6 0.16 0.8 1.0 ।.२ 1.4 0.98 or 0.32 0.5 0.72

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Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

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Q: Evaluate the integral. (Use C for the constant of integration.) | V 9-x dx

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Q: direction: find the indefinite integeal   x-3  / x^2 + 1

A: Given query is to find the integral.

Q: 2. Sketch a graph of f(x) = -2(x+1) ³-6 by using a sequence of transformations of a well-known…

A: NOTE: Refresh your page if you can't see any equations. . the given function is a cubic function…

Q: > Question 4 Which of the following statements is true? The slope of the tangent line to the curve y…

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Q: S + (2 + ² + 2)²³² de 호 t

A: Given, ∫t2t2+2-12dt

Q: 2. (6x+y²) dx + (2xy-3y²) dy =o

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Q: The UCSB has 8 squads of badminton players. The UCI team has 5 squads. Every squad from UCSB must…

A: Given query is to find the total number of games.

Q: Given 10t² 14t 80 3 t³8t² t 10t² - 14t - 80 t³ - 8t² c) Evaluate · antidifferentiation + dt 10 t² 7…

A: To evaluate the given integral

Q: Suppose f(x) and f'(x) have the following values. -1 0 12 8 -5 10-2 8 -6 -5 7 f(x) f'(x) -2 0 -3 Let…

A: The given table is:

Q: A; B; Evaluate the expression without using a calculator. Expand and simplify. (2x + 3)² C; Solve…

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: Given the demand equation p+ = 48, where p represents the price in dollars and x the number of…

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Q: S Radoptimal 5 find the limit and deternue of the functio is continous at the poult buy et…

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Q: 3 3x-1 f(x) = 4x²³²³-x + ³x-

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Q: K Find lim h-0 f(x+h)-f(x) h f(x) = -8x-7, x=2 The lim f(x+h)-f(x) h for the given function and…

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Q: Find the lengths of the sides of the triangle PQR. P(7,-1, 2), Q(9, 0, 4), R(10, -2, 2) |PQ| = |QR|…

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Q: Suppose that a function f(x) is defined for all real values of x except at x = c. Can anything be…

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Q: ttt 1. lem f(x) = X-7-0 2. lim f(x)= x →∞ 3₁ f(8) = 4. f(-2) = 5. lem +(x)= X90+ 6. lem f(x)= 7. lim…

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Q: Evaluate the indefinite integral S -10x² √1 1-x dx

A: To evaluate the integral

Q: M S√2x = 1dx

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Q: Find the limit as n approaches infinity of: an = (2n²+ n-1)/n³

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Q: JL=28 KL=5x+6 JK=3x+6 Find KL

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Q: Find the average rate of change of the function over the given interval. P(0)=03-202 +40; [3,4] ΔΡ…

A: Given query is to find the average rate of change.

Q: 5. Compute and simplify the difference quotient f(x) = 3x² + 7x-2 f(x+h)-f(x) h 9 h = 0.

A: We have to slove above questions

Q: The graph below is the function f(x) 3 2 OF -5-4-3-2-1 Find lim 24-1 Find lim 24-1¹ Olim f(x) 2411…

A: As x tends to Right side f(x) tends to -1 , therefore limx→-1-f(x)=-1

Q: Make an ORIGINAL EXAMPLE OF "Variable Separable" A) GIVEN B)SOLUTION C) ANSWER D) WITH EXPLANATION I…

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Q: Consider the function f(x) = 4 sin(x) cos(x) + 6 csc(x). Evaluate its derivative at the point x =…

A: Product rule of derivative is used.

Q: HISU UNICAR HUN OMAGGIOI TU LARVEST, 3. Elphaba the squirrel, the notorious criminal, is planning a…

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Q: Find all values of x at which the tangent line to the curve x² - 6 x + 3 NOTE: Enter the exact…

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Q: Find the area of the region bounded by the graphs of the given equations. 2 y = 3x+18, y=x

A: Here is the solution:

Q: Geometry Classify the conics in R^2 with the following equations. Determine the centre/vertex,…

A: Note: There are multiple questions. No specific question has been asked.So, We will solve the first…

Q: Graph the function  f(x)= -2x^3 + 4x^2 + 2x - 4 Please name any x-intercepts and y-intercepts in…

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Q: 15. f(t) = 1 + cosh 5t

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Q: For this discussion post, I will ask you to sketch some graphs that meet a limit condition and…

A: To be found - Sketch of different functions with given conditions. Topic - Function, limits &…