i. Using Desmos graphing software or Desmos graphing mobile, create the graph of the following limit of a function ii. Identify if the given functions f(x) does it exist or not. iii. Justify your answer. 1) lim f(x) == x->0 X

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Q: 4. Evaluate (x - 1)(x + 1)da using the Fundamental Theorem of Calculus.

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Q: solve the differential equation 2) 2x² dy dx csc (X)

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Q: Click to see additional instructions For the demand function f(x) = (x-4)² and the supply function…

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Q: Which of the following polar equations is symmetric only with respect to the polar axis (x-axis)? r…

A: We need to find the polar equation which is symmetric only with respect to the polar axis (x-axis).

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Q: Find the area of the region bounded by the curves below. Sketch its graph and shade the region. 1.…

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Q: Consider the two by two system of linear equations x +3y +2y d) What is the coefficient matrix A? e)…

A: Here we will solve the given system of equations,

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Q: Find the critical points of the function f(x) = x³ + 1¹5 x² + 50x + 8. Use the First Derivative Test…

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Q: Find all the local maxima, local minima, and saddle points of the function. 3 f(x,y) = x³ +y³ + 3x²…

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Q: Determine the derivative of the function y 318

A: Topic = Derivative

Q: I. Evaluate each of the following iterated integrals. /2 siny 1. f/dxdy inx 2. ² ye²dzdxdy

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Determine the intervals on which the function is concave up or down and find the value at which the…

A: To determine the intervals on which the function is concave up or down and to find the value at…

Q: S -1 etan 1+4t² 2t - dt

A: Let u=tan-1(2t)⇒dudt=21+(2t)2=21+4t2⇒du2=dt1+4t2 ∫etan-12t1+4t2dt=∫eudu2…

Q: Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f near…

A: Use Taylor expansion

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Q: Solve y'= 3y.x² 3 x³ + 2y4

A: This question can be solved using the concept of linear differential equation.

Q: Use power series operations to find the Taylor series at x = 0 for the following function. 7x² −14+…

A: Taylor Series expansion of 7x2-14+14cosx at x=0

Q: 5. Solve the equation = 170. 6. Solve the following logarithmic equations. (a) log, (+5) = log, 3…

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Q: S 10dz 4z³-4z² + 5z

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Q: 5. 2 Let f(x) = 5x4. +8√x - 3. x² (a) Find f'(x). (b) Find an equation for the tangent line to the…

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Q: example I= 1 5² die fex2=212 9=0₁6=1

A: The integration of the integral is x2 limit from 0 to 1.

Q: 5. Find the average value of f(x) = 1 X on [e4, e5].

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Q: 2. ff. x²y dy dx

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Q: 3. Let R be the region below bounded by the parabola y = 4 - x² and the lines 3x - 2y + 3 = 0 and y…

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Q: Find the determinant by row reduction to echelon form. 1 3-2-4 01-25 -1 1 2-8 6 4 -2 -3 3

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Q: 1. If F(x) = Le d ex dt, find F(1) and F'(x).

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Q: Q1): Prove that: A square matrix B has inverse if and only if determinant of B is not equal zero.

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Q: Find the maximum and minimum limits of the function X-2 (x + 2)²

A: Explanation of the answer is as follows

Q: X₁ = X1 X2 = (1, 4) & (3, 8) У1 = m= m= Final answer: Trend: Y2 = ||

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