5" i) E 2"+1 п n=0

Q: 3x²+1 e) у %3D cos?(3x?) f) y = x-2

A: We need to evaluate the derivative of the following function e y = cos23x2f y = 3x2+1x-1

Q: 1. Given y = log, 256. The value of y= 4 ÷ 2. If log(x + 8) = 3, then the value of x is 1 3. If log,...

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Q: 213 + 4x² + 7x – 6 dx - 1. xª – 3x² – 4

A: ∫dx/(x-a)= ln(x-a) ∫dx/(x²+1)= arctan(x) ∫xdx/(x²+1)= (ln(x²+1))/2   Let I =  ∫ (2x³+4x²+7x-6)/(x⁴-...

Q: Question 3 ) For the function 4Vi + 2t + 1 f(t) = consider the definite %3D integral 2 - f(t) dt. a)...

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Q: The temperature is T degrees at any point (x, y, z) in three-dimensional space and T(x,y, z) = 1/(x²...

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Q: 6, Solve the IVP 3w" -u'+ 2u0. u(0) = 2, u'(0)-0

A: The given equation is; 3u"-u'+2u=0, u(0)=2,u'(0)=0

Q: Find the first five terms of these recursively-defined sequences: 9. a1 = 2, an = 2an-1 - 5

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

Q: Answer: (Choose the answer in the boxes) 1. For a given function f(a) =-2x +6 a)slope is: b)x-interc...

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Q: X+2

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Q: The cos'ydy is equal to 3 A. siny + sin?y +sin³y - sin'y+ C sin'y + C 3 1 B. siny – sin³y + siny -; ...

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Q: 3 x° +5 3, 2 X +x - X dx -

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Q: 3 Consider the following function f(x,y) = +y° + 2xy - 6x- 3y + 4 3 3 3, 2 The critical points are A...

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Q: 4. 2?y + x(x + 2)y = e

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Q: 1 - cos2A The (1 eJ (1+1+ cos2A) dA is equal to A. tan 2A + C B. cos 2A + C C. cos A + C D. tan A + ...

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Q: Find the derivative of the function using the power rule. (a) f(x) = 3/5x5 − 4x −4/3x-3 (b) f(x) = x...

A: a) f(x)=35x5-4x-43x-3 f'(x)=ddx35x5-4x-43x-3       =35ddx1x5-4ddxx-43ddx1x-3        =35ddxx-5-4-43dd...

Q: Given: sin A = and cos x = - 12; evaluate the following expression. %3D (A: Quadrant I, x : Quadrant...

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Q: A common complaint about income tax is "I can't afford to work more because it will put me in a high...

A: Answer to given problem is shown below - 

Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and U = %3D = cos î + sin r î. Use the Theorem above to find...

A: Here, the given function is: f(x,y)=3x2-4y2 which is differentiable. And, U→=cos 13π i^+sin 13π j^

Q: tan v sec? v dv? |

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Q: lim V9(x) Choose

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Q: Solve the differential equation (r² + 1)y – 2ry – 2x = 0 using the method of exact equations;

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Q: lim X+2 X- 3 X-2

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: 18. Identify the end benavior oT the grapns: a) -6 -8 -10

A: Graph

Q: 5. Determine whether the function f : R+ → R defined by the rule f (x) = positive real numbers x in ...

A: A function is said to be bijective if the function is both one one and onto. The given function is f...

Q: Correct Consider the following functions. f(-3) = 14 and g(-3) = -11 %3D Step 2 of 4: Find (f- g)(-3...

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Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. ...

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Q: Consider the following function. p(z) = 2V1 –1 - 2 Step 1 of 2: Determine the more basic function th...

A: topic - functions

Q: 2x – x3 dæ (x – 1) (æ² + 1)

A: The objective of the question is evaluate the indefinite integral.

Q: Suppose Ryan borrows $9000 at an interest rate of 3% compounded each year. Assume that no payments a...

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Q: 4x2 – 4x + 3 dx J (2x – 1)(4x² + 1)

A: Given problem:-

Q: Section 3.3 p. 296/298 # 142 Integrate using the method of trigonometric substitution. Express the f...

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Q: 1. S[3 + tan(4x²)J²xdx

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Q: 1. Determine which sets are vector spaces with standard vector addition and scalar multiplication. I...

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Q: children is based on the ratio of the child's weight to that of an average adult. The average adult ...

A: We will find how much a child should take for his medication. 

Q: (x² + 1)y' + 2.xy + 2x = 0

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Q: use the rules of differentiation to find fhe derivative. g(x) = 2x² - 3x +1

A: Given query is to find the derivative of the expression.

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the seque...

A: In this question we have to find whether the given sequence is converges or diverges.

Q: H.W: Solve-Using D-operator dy dx + dt + 3y – 5x – e-t = 0 dt dau

A: Given: - The differential equation is, dydt+dxdt+3y-5x-e-t=02dxdt+dydt+x+y-3=0 To solve: - The solut...

Q: V1+x2 dx 3. J 3.s

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Q: 4. Find the distance traveled (arc length) of a point that moves with a constant speed of 2.8 m/sec ...

A: Here we have to find the distance traveled of a point that moves with a constant speed of 2.8 m/sec ...

Q: x²-1 dx 1. S

A: Given: I=∫x2-1xdx   ...1   We know that the trigonometric identities; (1). The Pythagorean identitie...

Q: Find the length of the curve over the given interval. r = 12 on the interval 0 ≤ ? ≤ pi/2

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Q: Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph...

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Q: Use the Intermediate Value Theorem to show that f(x) = 2+ sin r 3 tan x has a | (0. ). solution in t...

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Q: Find the relative extrema of f|S in Exercises 8 to 11. 8. f: R² → R, (x, y) → x² + y?, S = {(x, 2) |...

A: Given that: f:ℝ2→ℝ, x,y↦x2+y2, S=x,2 | x∈ℝ. We have  to find the relative extrema of f|S.  

Q: Solve the systems of equation: Equation 1: x + 2y + 3zi = 20 + 5i; Equation 2: 5x - 3yi + 12z(1-2i) ...

A: Given x+2y+3zi=20+5i Equation 1 5x-3yi+12z(1-2i)=-50-180i Equation 2 x+yi+2z=20-10i Equation 3

Q: п d) Σ (-1)" п е n=1 (-1)"*'n² п e) E 2 п +4 n=1 1 Σ- ‚n n=1

A: According to guidelines we can solve only first question. Please submit as separate questions.

Q: Let A = and B = , P = (9, 8, 7) d. find an equation for the plane which contains the point Pand is ...

A: We have to find an equation for the plane which contains the point P(9,8,7) and is parallel to A = &...

Q: 1 dx x /1 – (In x)² 1

A: