Find the slope and the equation of the tangent line to the graph of the function at the given value of x. f(x)=x²-2x² +1; x=-1

Q: 2. Evaluate 3 dx -) S (x+5)(2-3)dx, (b), (c)²-22²-da, J ■) x³ −2x² −4 −1+ int: (c) 1 + ² + ²/1/2 x³…

A: Topic:- application of integration

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Q: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

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Q: 36. Let d; denote the hours of daylight and 8; denote the increase in the hours of daylight from day…

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Q: [₂7-4x dx -2 Determine the value of [4f(x) dx given that [ƒ(x) dx = 10 and ſº ƒ (x) dx = 3. 27 sin…

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Q: solve the DE b

A: The DE is (x-y+2)dx-dy=0or, (x-y+2)dx=dyor,dydx=x-y+2

Q: NIM Let line l: x = = and point P(1,0,1). 2 Find the parametric equations of the line parallel to…

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Q: o - 23 dy

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Q: 4. Evaluate the following triple integral. [ƒÃƒ‚²‚x² sin y dy dz dx .

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Q: 2. a+b+c=c+b+a is true because of

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Q: Vectors: given vectors u =(-3,-1,4) and v = (-2,3,2) Find 2u - v Is u more than 20% shorter than v?…

A: As per bertleby guidelines we have to solve first three parts, then for others resubmits the…

Q: ƒ(x)=3x² +6x−9

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Q: Let The coefficient of x³ in the Maclaurin series for f(z) is: Answer: . You may explain your answer…

A: The given function is f(x)=9e2x-x A Maclaurin series is given by:-

Q: 43. Evaluate: (2ex - 4x) dx A. 2ex - 4x + C B. -2ex + 4x + C 4x C. 2ex + C In 4 4x D. 2e + + C In 4

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Find the derivative of f (y) = 153/g In(y)

A: Given: f(y)=15y3lny

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A: Use limit to find wheather function is continuous or discontinuous.

Q: (ii) tank (In x) = x²-1 x² +1

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Q: 1. The derivative of a constant is equal to A. -1 C. 1 B. 0 D. 2 2. If ƒ(x) = −5π, then ƒ'(x) is…

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Q: 0 %16 0 رجوع > ۸:۲۹ م 4 من 4 sin x 6. f(x) = x2 + sin x ه الكاميرا ...| - = Find-f'(x)

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Q: (x - 3y + 3)dx + (3x + y + 9)dy = 0

A: On solving this we will get

Q: 2 x-x² if x ≤ 2 - Let f(x) = 2x - 1 if x > 2 Calculate the following limits. Enter "DNE" if the…

A: Let fx=2-x-x2 if x≤22x-1 if x>2To calculate the following limits. To enter "DNE" if the limit…

Q: 48. Evaluate: A. (x + 1)³/² + C 5 B. (x + 1) 5/3 + C C. (x + 1) 5/² + C D. (x + 1) 5/4 + C 49.…

A: As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And The common integral; ∫eax+bdx=1aeax+b+C…

Q: x² + 4x + 1 (x − 1)(x + 1)(x + 3) dx

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Q: 47. Evaluate: x(x² + 3)5dx A. (x²+3)6 + C 12 B. (x²+3)6 + C C. ²/(x²+3)6 + C D. (x²+3)6 + C

A: According to the company rule we can answer the first question and rest can be reposted.

Q: Find the derivative of the function. 4 24 y=. VF X X

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Q: Question 2 Determine the general solution. x (dy/dx) = 2 - 4x^3. O y=lnx-(1/3) x^2 + c Oy=2…

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Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

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Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The function y=x-523

Q: Use the method of elimination to evaluate the determinants

A: Question number 16 has been solved as per the request of the student.     This question can be…

Q: Determine the center-radius Form of the equation of the sphere whose diameter has endpoints at (2,…

A: The first question has been solved as per the request of the student.     The center radius form of…

Q: & 38. Evaluate: √x dx A. x4/3 + C 3 4 C. ³x5/3+C B. x³/4 + C D.x3/5 + C 39. Evaluate: fx(4x - 3)dx…

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Q: u = xz siny + yz cosx + xy tanz

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Q: 6. If y = 3√x, then what is y'? A. y' = C. y' = ¹ x 3 x3 B. y' = 1/2 D. y' = ¹/2/2 x3 x 3 7. Which…

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Q: Given the vector function r(t) = (+1, 1-2t², 8t-4), find the are length of this curve on the…

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Q: Find the equation of the tangent line to the curvey = √2-4 at the point (5, 1). Oy=2-1 Oy= 22-2 Ov=z…

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Q: A rectangular field having an area of 2500m² is to be enclosed by a fence, and two additional fence…

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Q: 3 [*² [b³ – y³]² dy

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Q: C)Use LHospital's rule to evaluate only two of the following limits (if exist): 5⁰-6 lim (ii) lim…

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Q: Consider the point P (-3,-1,5), the line : x = 3 t. y, y = -6t -3₁ z = 2t +1, and the Flane 1² : 7…

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Q: Suppose g(z) zn 2nn n=1 Σ Solve for the value of the integral 1 2-₁ / e²g² (2) dz 2πi |2|=1 using…

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Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A: We  are given the differential equation to be solved    =>       y(y² + 1)dx + x(y²-1)dy = 0

Q: A wind is blowing giving the projectile the acceleration of 9m/s2 in the positive direction of the…

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Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

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Q: If sin 20 = √3, 0≤ 20 ≤ 2π, calculate the values of

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Q: x² - 25 to fill in the table: Xx - 5 6 5.5 5.1 5.01 Based on ONLY the table of values above, what…

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Q: What integration technique can be used to integrate: O Integration Formulas O Trigonometric…

A: Use integration by parts and substitution method.

Q: to determine the instantaneous rate of change c Use f(x+0.0001)-f(x) 0.0001 f(x) = 5x² - 7x ata = 2,…

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Q: Evaluate the following integrals. 13 1 sin²x -dx

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Q: Find the derivative of f (w) = 7ln (w) + 18.

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