QUESTION 8 fxe de Evaluate O e¹(x+1)+C O e' (1-x)+C O e¹(x-1) + C O e¹(x+1)+C

Q: The tangent line to y = f(x) at (4, -3) passes through the point (1,1). Compute the following. a.)…

A: This question can be solved using the concept of two point form of line and derivatives

Q: (x + 2y ²) dy (xy²-y) dx + ( 0

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Q: b) For the curve 2² - 4ry² = y³ +9, do the following:

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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: 23. 3y(x² − 1) dx + (x³ + 8y − 3x) dy = 0; when x = 0, y = 1. ANS. xy(x² − 3) = 4(1 — y²).

A: Given differntial eqution, 3yx2-1dx+x3+8y-3xdy=0                      ...(1)

Q: Ldb + BOL + LB (BAL +dB) = 0

A: Given, αdβ+βdα+αββdα+dβ=0

Q: y=f(x) Fig. 2 a) lim f(x) X-4- d) lim f(x) x-3- b) lim f(x) X-4+ e) lim f(x) c) lim f(x) x→4 f) lim…

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Q: The general solution of the Differential Equation (2x-y²)dx-2x(y²-x+y)dy=0 is -xe2Y(x+y2)=C

A: To determine whether the following statement is true or false.The general solution of the…

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: x² - 3x Find lim x→3 x2 - 9 2

A: to find out the limit.

Q: (d) The area of the triangle AKMN is A=25-√√3 in². If <MKN = 30°, find |KN|=|MN|= ?

A: Given , A(∆KMN)=253.|KN|=|MN|∠MKN=30°

Q: B. 3y² + 2xy = 8 dy dx m TL Equation of tangent line m. NL Equation of normal line

A: Given equation of curve:- 3y2+2xy=8

Q: QUESTION 4 Evaluate Stan²3x de 01 3" 01 tan3x -x +C 01 tan³3x + C tan³3x+C O tan3x - x +C

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Q: Find a and b so that the function is both continuous and differentiable. f(x) = 7x³5x²+4, x < -2, x…

A: To find a, b

Q: A particular curve passes through (1, 1) and satisfies the differ- ntial equation dx = (1-3y²³) dy.…

A: Let's find equation of curve in the form of x=h(y).

Q: (b) Express sin(cos x) in terms of x only.

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Q: Find the following derivatives. Express your answer in terms of the independent variables. 3x-3z 2y…

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Q: Find the derivative of y with respect to x. y = 4x2 sin -1(4x2) + √1-16x4 dy dx 11

A: Given, y=4x2sin-14x2+1-16x4 Find dydx

Q: It takes Fena Tailoring 2 hr of cutting and 4 hr of sewing to make a tiered silk organza bridal…

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Q: Find y" by implicit differentiation. 4x³ + 3y³ Зу3 = 4

A: Quotient Rule of differentiation : ddx(uv) =v.dudx-u.dvdxv2.

Q: Billy works as a software developer for Amazon. He currently has 50 shares * 1 of Amazon stock that…

A: Solution ) The function is  F(t) = (50+ 3t ) ( 3300 - 80t )  F(t) = 165000 - 4000 + 9900t - 240t2…

Q: Evaluate the expression when x=-6. x² + 7x+8

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Q: 1. Use deductive reasoning to show that the following procedure produces a number that is three…

A: Deduction or deductive reasoning begins with the general statement/hypothesis and investigates the…

Q: дz дz Let z = sinh(7x + 8y). Find and ax ду дz ax дz ду || 7 cos(7x + 8y) 8 cos(7x + 8y) х х

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Q: (e) Find equations of the horizontal and vertical asymptotes of the graph of f(x). HA VA:

A: Given query is to find vertical and horizontal asymptotes.

Q: ellipse at (2, 1)_

A: a. point ( 2 , 1 ) x = 2 , y = 1 Therefore point is on ellipse

Q: 3. f(t) = 3t - t², (0,0) 4. f(x) = 3-5x, (-1,8) 5. g(x)=x²-9, (2,-5)

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Q: Problem 4. Use the Substitution Rule to calculate each of the following integrals. You should show…

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Q: 11. The Australian Teal Frog is a species that has become endangered due to inability to defend…

A: As per Bartleby guidelines we only give first three questions answers. Please repost for other…

Q: Consider the differential equation dy/dx = 5-y. (a) Either by inspection or by the concept that y =…

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Q: Find the derivative of the function. f(v) = (v−3 + 3v−2)3

A: to find out the derivative of the given function.

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: Problem 3. The number of giant pandas in China at the beginning of the year 2000 was 9205. The…

A: The net change theorem says when a quantity changes the final value equals the initial value plus…

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

A: let   p=amount of bacteria present   thendpdt=growth rate

Q: To create an object to display at the Art Museum of Boston, Colleen creates a solid of revolution by…

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Q: For the given function f(x) and numbers L, c, and > 0, find an open interval about c on which the…

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Q: For what value of a is the following function continuous at every x? a²x-6a, x≥2 x<2 f(x)= 20,…

A: Given fx=a2x-6a20x≥2x&lt;2

Q: (x+ d

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Q: S + (2 + ² + 2)²³² de 호 t

A: Given, ∫t2t2+2-12dt

Q: Use Lagrange multipliers to find the minimum and maximum values of f(x, y) = x + 3y, subject to the…

A: f(x,y)=x+3y

Q: (How?) (34) =(x)5

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Q: Let f(x,y) = 4√xy³²+ 4y + ex 1. Use local linear approximation to estimate. 4√ (0-1)(0-9)² + 4(0-9)…

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Q: Find the solution of the given DE. 2. y' + 2xy = 2x³ ;y(0) = 1

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Q: 4x + 1 4x² + 1 Find f'(x), and then evaluate ƒ' at x = 2. f(x) =

A: f(x)=4x+14x2+1

Q: Find the total area of the region(s) bounded by the curves. Answer in either integer or fraction…

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Q: lim x-2 2x² +1 3x - 2

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Q: d. √³|x² – 3x − 4|dx - -

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Q: Sove edx + e - X a. e²y In |x| = C b. e²(x+y) = C c. 2x + 2y = C d. e2x = C - e²y dy = 0

A: Solve DE

Q: 20. j(x) = [(sin 3x)³ +5x]²_j'(x) =

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Q: 25. (y + √√x² + y²) dx − x dy = 0; when x = √√√3, y = 1. ANS. x² = 2y + 1.

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