3 i(z³+1³) lim z→-i_z²+1

Q: (2x-1) dx 1 2x²³²-x²-27x +36

A: …

Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

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Q: Evaluate the indefinite integral. [sec sec (0) tan (0) de (Express numbers in exact form. Use…

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Q: Solve the following D.E dy sin x- dx +2y = tan 2

A: Concept: First-order linear differentiation equation: The linear polynomial equation, which includes…

Q: Find the derivative: y = ln(24) 2x-4 O 4x-x² 2x-4 x²-4x 4 4x-x² 4 x²-4x O о O 8

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Q: Use the given graph of f to state the value of each quantity, if it exists. (If an answer does not…

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: Find dy/dx for: y cosy = xy Y O -y sin y+cos y-x Y cos y-x Y -y sin y-x 1 cos y-x O O O

A: Given :y cosy= xy

Q: S 3x+1 -dx x²-x-6 2

A: We know, ∫ dx/x = ln|x|

Q: Find two unit vectors parallel to each of the following vectors: a) [-8, 2] b) [9, -3, -5] c) 57 -…

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Q: Given that lim_ f(x) = 1 lim_g(x) = -2 lim_h(x) = 0, X→2 x → 2 X→2 find each limit, if it exists.…

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Q: Find f'(x) where f(x) = x. 2? O f'(x) = 2 (1+x. ln2) O f'(x) = -2 (1+x. ln2) ○ f'(x) = 2 (1-x. In2)…

A: Given :f(x)=x.2x

Q: Let f(x) = 2x² -5x - 7. Expand and simplify: f(x +h)-f(x) h =

A: The answer is given below:

Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x): |x-1| In its domain. a.…

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Q: 寸

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Q: ove that the limit as (x,y) →(0,0) of f(x,y)=(x²-y2)/(x²+y²) does not

A: Topic:- calculus

Q: Six 2 CSC ² 2x - x cos 2x) dx

A: We know, ∫cosmx dx= sinmx/m  ∫sinmx dx= -cosmx/m  ∫cotmx dx = ln|sinmx|/m  ∫csc²mx dx= -cotmx/m…

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: -Σ=o(x + 2;)2

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 2? x+10 for 2≤x≤2 f(x) =…

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Q: c) What is the loss the company incurs when it tries to maximize sales (that is, produce the maximum…

A: Find out the loss the company when it tries to maximize the sales.

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number cubed and…

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Q: ſª √√√x – 1 dx is equal to 8 {A}-- 15 32 {B} - 15 - {c} {D} 8 15 32 15

A: To find out the integration.

Q: Find the acceleration u= 2x² + 3y, v=- - 2xy + 3y² + 3zy, Example the following flow field: W =- at…

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Q: 2. The base of a solid is an ellipse whose major axus and minor axis are 12 cm and 8 cm long,…

A: We need to find volume.

Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x) = |x-1| In its domain. a. What…

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Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized? |

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Q: Find F(s). ℒ{t3e−4t}

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Q: 300 150 Find lim f(t) and t-4- lim f(t) = t-4- lim f(t) = t-4+ 4 lim f(t). t-4+ mg mg 8 12 16 t

A: Follow next step

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x)= |x-1| In its domain. a.…

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Q: xample following flow field: Find the acceleration u= 2x² + 3y, v=-2xy + 3y² + 3zy, w= at a point…

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Q: 1. f(x) = 3ex +1 2. f(x) = 45x + x45 3. f(x) = 10 sin x + 5 sec x 4. f(x) = x²(2x + 1)

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

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Q: 1. Find the rate of y with respect to x at the point (1,8) if 7y² - xy³ = 4. dy dx

A: Given: 7y2-xy3=4 and Px,y=1,8   As we know that; The Power Law: ddxxn=nxn-1 The Product rule:…

Q: Find the regions where sinx sx.1

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Q: An analysis of the daily output of a factory assembly line shows that about 50t+t²- 1 tunits are…

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Q: Solve cos(x) = - 0.38 on 0 < x < 2π

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Q: Given the following total revenue (TR) and total cost (TC) functions for a firm, TR = 5820Q + 40²…

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Q: f5(x³ + x)⁹ (3x² + 1)dx O 5(x³+x) ¹0+C 10 (x²³+x) ¹0 10 +C O 45(x³ + x) +C O(x³ + x)¹0+C

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Q: Researchers fit data from over 6000 fetal ultrasounds. They measured the femur length, L, (in…

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Q: 4 f(x) = 3x6 3 f(x) = $/x2

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Q: 3 + 2x² √3+2 x2 O 2x 3 - +C X + + 2x + C x3 23³3³ +0 x³ + 2x + C O dx =

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Q: dy ({})y+3

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Q: Prove lim x-a 4x 4a, using the ɛ, 8 definitions of limit.

A: The given limit,   limx→a4x=4a

Q: iii please, NOT i or ii

A: Topic:- vector algebra

Q: H.W: show that the equations are homogeneous and solve: 1. (x+y)dy + (x - y)dx=0

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Q: Given r(t)= , find the curvature. T

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: 1. f(x) 2. f(x) 3. f(x) = = x² 12x-3 2x+9 3x+4 x²-16 x²+4x-20

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