Given the following functions: ind: f(i(x)) f(x) = 3x² − 5x + 2 g(x) = 7x² + 3x - 1 2x - 7 h(x) = 5x - 7 2x j(x) = 2x - 1

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A: Concept: Simplifying expressions: Expressions are mathematical statements with at least two terms…

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Q: (2x - 2 x² - x f(x) = x² 4 graphing calcu x 2 x = 2

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Q: 1) lim x + 5 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

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Q: 2. Write the given (total) area as an integral. a. The area above the x-axis and below y = 4 - x² b.…

A: Let's find  area between given curve and x axis.

Q: Evaluate the following integrals: O •(Cartesian to Polar) Civen the cartesian coordinate find FOUR…

A: Follow the procedure given below.

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Q: √x-3 x-3+√√√x²-9 Evaluate lim

A: Given query is to find indicated limit.

Q: 2. y = 1 (tanh~' 2x)3

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A: Given problem:- Find the equation for the tangent plane and the normal line at the point Po(1,1,3)…

Q: {CLO-3} Find the absolute minimum value of the function f(x)=x²-3x²-24x +5 on the closed interval […

A: This question can be solved using the concept of absolute maximum and minimum.

Q: 1. f cos³ 3x sin¹ 3x dx 2. fcsc4 5x cot4 5x dx 3. ƒ cos³ xdx from a = 0 to b = 2

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Q: Find the derivative of the function using implicit differentiation. 1.) x²+y²= 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Using u-substitution, find the length of the arc of the function x^2 = 4y from x = -3 to x = 3. Show…

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Q: 9) Use Fubini's Theorem to compute the double integral ƒƒ_ƒ(x,y)dª_where…

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A: Given query is to find the attached population after 15 years.

Q: Find Vf at the given point. f(x,y,z) = x² + y² - 3z² + z lnx, (1,2,3) Vf|(1,2,3)+( = )j + (k…

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Q: Find the derivative of the function at P in the direction of A. f(x,y,z) = xy + yz +Zx, Po(-3,3,-2),…

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Q: 5. Find the limit using algebraic techniques. The limit of f(x) = 14 1/13 14 7 x²-49 as x approaches…

A: We have to find out limit

Q: 2 (0) IF F(x)= x 'e', Find f'(x) and F (1)

A: Finding the derivative of the function.

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A: Given query is to find the angle bothe vectors.

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Q: Two capacitors with capacitance of 6 μF and 4 μF are connected in series across a 100 V dc source.…

A: Question- Two capacitors with capacitance of 6 μF and   4 μF are connected in series across a 100 V…

Q: If repetition is not allowed, in how many ways can we arrange ♣, ♠, ♦, and ♥ a) four at a time? b)…

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Q: What is the exact area bounded by the curve f(x) = 1/2 X and the x-axis on the interval [1, 8]?…

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Q: Given r = 1 - 3 cos 0 find the following. Find the area of the inner loop of the given polar curve…

A: Given that a curve       r  =  1 -3cosθ                                   first we'll need to…

Q: dw For the functions w= -5x² + y², x = cost, and y = sint, express as a function of t, both by using…

A: Given query is to find the Indicated derivative.

Q: What is the expansion of the binomial expression (x + y)⁵ ? What are the binomial coefficients?

A: Solution of given question is written in below steps.

Q: Ssin (1) dB

A: Topic:- integration

Q: Find the derivative of a composite function using the Chain Rule or General Power Rule.  1.)…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We have to find the equation of tangent.

Q: {CLO-2} Find all vertical asymptotes of f(x). 4x f(x) = 4-x² Determine whether f(x)→∞ or f(x)→→∞ on…

A: Let's find given function asymptotes.

Q: dy 5. Use Implicit Differentiation to find dx a) 4xy + x² = 4 - Iny³

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Q: integral e^u du = e^u+ C. Is it true or false

A: Given query is to find statement is true or false.

Q: Given z *- Find Z*** www.xy. www Option 1 Zxx = -2x³ Zxx = -2x-3 Option 3 Zxx = 2x 3 Option 2 none…

A: Given

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Q: Consider a ladder sliding down a wall as in the figure. The variable a is the length of the ladder.…

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Q: Find the binommal coefficient (4)

A: Topic = Algebra

Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = xy + yz + zx,…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: Question- Assuming that the equation below defines y as a differentiable function of x, find the…

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Q: 14. A small, closed water tank is in the shape of a cuboid with a square base. The total surface…

A: Given :Total surface area of cuboid = 1500

Q: 2. (a) | +4 Evaluate the integral. √2x + 1 dx

A: Taking substitution as 2x+1 = t

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Q: x²y" - 3xy' - 2y = 0

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