original function is 2x^3+3x^2-12x+1 derivative= 6x^2+6x-12

Q: 2700 360 * 31, cos 0 = 1/8, 311/2 <0 < 2 ४ 1% کے too (1) ³+ (8) ²

A: given  cos∅=183π2&lt;∅&lt;2π there for ∅ is in 4 quadrant in 4 quadrant sin∅ is negative and tan∅ is…

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A: e2y − y cosxydx + 2xe2y − x cosxy + 2ydy = 0

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A: Given:

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A: To find the directional derivative of given by function

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Q: 1) Use the Comparison Test to determine whether the infinite series is convergent. ∞     k = 2…

A: Comparison Test:- If a series of the form ∑n=1∞an is given. Also if we know that ∑n=1∞an≤∑n=1∞bn…

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Q: Solve for Higher Order L.D.E

A: To solve the given higher order differential equation

Q: 8 Problems Find the integrals in problems 1-4: 2² 3x³ +7 1. J d.x

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A: We can evaluate the given integral by using the substitution u = ex

Q: Nonhomogeneous Linear Equations In this section we learn how to solve second-order nonhomogeneous…

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Q: Let F(x, y, z) = x³i+y³j+z³k. Compute the following: (i) V.F (ii) V X F

A: i) Given:       Fx,y,z=x3i+y3j+z3k then         ∇·F=∂∂xx3+∂∂yy3+∂∂zz3                 =3x2+3y2+3z2…

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Q: 2. Evaluate = I= √²² + y² + 2² av where E is the region enclosed by the the sphere x² + y² + 2² =z.…

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A: Given Native: x(t) = −447.94t3 − 5250t2 + 44992t + 150000 Non-native: y(t) = −589.14t3 − 0.7t2 +…

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Q: ton = 15/8 where Toz Ø180 Find cos20

A: Please see the below picture for detailed solution.

Q: 39. y = (cos x)*

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Q: 1. ) Obtain the differential equation of the family of plane curve described and sketch at least 5…

A: We know slope intercept form of line ⇒y=mx+c

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A: Topic- Application of derivatives We are given that A cadget engineer determines that when x…

Q: Problem 3. evaluating them. ∞ 1 So₁² (2-3)³/2 5 dx Determine whether each integral is convergent or…

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

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Q: d (a) / ₁ (t²-1)²dt. -10 -10 (b)/(t²-1)²dt. (c) d dx 32² -10 3x² (t²-1)² dt. d (d) — (t²-1)²dt. dx…

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Q: Replace ​? with an expression that will make the equation valid.   d/dx (3 − 4x2 ) 5= 5 (3 − 4x2 )4…

A: let y=(3-4x2)5

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Q: 1. Determine the type of conic section that each general equation will produce. Show your solution.…

A: As per the rules, we are supposed to answer the first question and rest can be reposted.

Q: 9. lim 818 4x + 3 5x − 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

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Q: a. 4x² + 12x + 4y² + 16y - 11 = 0 b. x² + y²-6x + 4y +4 = 0 c. x² + y²-4x-8y + 20 = 0

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Q: 3. Consider the recurrence relation an = an-1 + 6an-2 with first two terms a = 0 and a₁ = 1. a.…

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Q: Use polar coordinates to set up and evaluate the double integral f(x, y) = x + y, R: x² + y² ≤ 16, x…

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Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

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