I. Jas dx 25+ x²

Q: Solve step by step in digital format (2 + x)² − 4 d) lím x-0 X 6x² - 3x + 2 e) lím x-0 4x - 3

A: Given, Evaluate,

Q: Evaluate using Partial Fraction Decomposition: S x² (x+1)²(x-1) dx

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Q: III. Consider the parabola C: 2 - 4 = -(x - 2)² on the zz-plane. 1. Find the center-radius form of…

A: Given that Parabola C : z-4 = -x-22                In this question, we sketch a graph of the…

Q: Evaluate using Partial Fraction Decomposition: (+1)²(y-1) dy y²

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Q: √√3 L dx 1+x²

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Q: * Two unlike parallel forces, each of magnitude 50 kN are 200 mm apart from each other. what will be…

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Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: Solution: a) let v = (a, b, c). Then

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Q: Derivative app The given rectangle has a perimeter of 60cm. Find the values of x and y that result…

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Q: f(x csc² 2x - x cos x cos 2x)dx

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Q: lim √25t2 + 2-5t

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Q: Find a cubic function y=ax³ + bx² +cx+d that has a local maximum value of 3 at -2 and a local…

A: According to our guideline the answer to answer only the first question if you want any particular…

Q: What is f'(x) if ef(e) = 1 + x² ? O 2x 1+x² ○ 2x(1+x²) ○ 2x(e¹+x²) 1 1+x²

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny [TD [t ex+y dxdy

A: Given problem:-

Q: 4dx x- 3√x²

A: Evaluate the integral

Q: Pls help ASAP

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Q: Find an equation for the line tangent to the graph of y = tan ¹ (2x) 2 1 What is the tangent line to…

A: As we know that; The slope of the tangent line to the given curve is equal to the first derivative…

Q: √3 ♡ dx 1 + x2

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Q: x(t) = 4+ t Find a plane through the point (-1,5,-3) and orthogonal to the line y(t) = 3 - 6t z(t) =…

A: This question can be solved using the concept of lines and planes.

Q: Find the extreme values of the function f(x)=x√√1- x .- x on the interva

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Q: Let a, be such that asb. Prove that tx Eqt ax cbx

A: Concept: We have a,b∈Q means that a, and b belongs to the rational numbers and a<b means that a…

Q: Identify the number of significant figures (sig figs) in each of the values. I sig fig 2 sig figs 3…

A: We can find the significant figures.

Q: Solve the integral shown below. . S | xsin xdx

A: Given problem:- ∫x sin(x)dx

Q: D) Find the parametric and symmetric equations of the line through the points (1,2,0) fic and sym of…

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Q: If f is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² – 11) = x→2 True False

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Q: Find :a. b. 20 fő -1 20 dy (1+y) ² (20-6x) e 20x - 3x² dx

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Q: Evaluate using Partial Fraction Decomposition: S z² (z+1)²(z-1) dz

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Q: In x Evaluate S 2 x(4-ln² x) O2 ln | 4 - In² x | +C Oln | 4 - ln² x | +C O ln | 4 - In² x | +C Onx…

A: Given ∫lnxx4-ln2xdx

Q: Suppose I want to make a simple garden with 3 plots (pictured below) out of wood. у If I have a…

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Q: What are the fourth roots of -3 + 3√//3i?

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Q: 2dx 2 2 cos x√ 4tanx - tan x S-

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Q: Q2. If f(x, y) = xy² + y²cosy + xsiny then a) y² - siny c) 2y + cosy a²f is дудх b) y² + cosy d) 2y…

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Q: 4dx 3r x-√√x² S

A: Let's solve given integral.

Q: . Find the area bounded by the given curves. y = 9x² and the x - axis.

A: First we find point of intersection of curve y=9-x2 and x-axis. Put y=0, 0=9-x2 x2 =9 x=±3 Therefore…

Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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Q: (x²+2) dx x+2

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Q: Find the cross product a x b. a = (4, 5, 0), b = (1, 0, 9) Verify that it is orthogonal to both a…

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Q: VIP 2 = √ Бхутуг П , Ө от 58 x = CS 0 ) y = Sine -

A: Topic:- application of derivatives

Q: Calculate fa₁. (1 + tan² a) da

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Q: 3) Given y(0) = 1 Over what area are we guaranteed a unique solution? Explain using existence and…

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Q: Charles plots the point with the polar coordinates (-5,-). How does he plot this point? Drag a value…

A: This question can be solved using the concept of polar coordinates of a point.

Q: (4) Use logarithmic differentiation to find the derivative of the following function. y = x¹/x

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Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: Example 3: Find the parametric and symmetric of the line passing through the point (-3, 5, 4) and…

A: Here, the given equation of the line is: x=1+3t,y=-1-2t,z=3+t Therefore, the direction vector is:…

Q: Two families went to Rollercoaster World. The Brown family paid $170 for 3 children and 2 adults.…

A: Disclaimer: Since you have asked for the handwritten solution but currently we are not providing any…

Q: Q4- Solve the following differential equation: (1 + x²)dy + (y − tan−¹(x)) dx = 0 -

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Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny ex+y dxdy 0

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

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Q: 6dx x - √ S 3√x²

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Q: Matching Type. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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