Q1/ choose a correct answer for each of the followings * 2 is a matrix then AT = [13]. √a² + b² 1 If A 1 32 True O false * 2. |a + i b] = O True O false *

Q: Find the critical point and use the First Derivative Test to determine whether it yields a local…

A: Given :f(x)=-6x2+2

Q: 3. Reduce 9x² +9y2 - 12x - 24y - 5 = 0 to the standard form of the equation of a circle.

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

A: Given problem:- f(x) = (x-2)/(x+2)2 Find the maximum and minimum limits of the function

Q: Which of the following is equal to da? In(x) + c +c 20 +0 с

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Q: Find a point c satisfying the conclusion of the MVT for the given function and interval. y(x)=√x…

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Q: Scoth (2) dx

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Q: Suppose f'(x) = 12√/1+4x where f(0) = 5. 1) Find the general antiderivative, f (x). 2) Use the…

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Q: If g(x) = (ax² + x) (ax - 1) for some real number a, find lim g(x). x→1 00 O (x²+x)(x - 1) The limit…

A: Find the limit

Q: The equation N (t) 500 models the number of people in a town who have heard a rumor 1-49e 0.7t after…

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Q: 3√3 2 0 x3 (4x² +9)3/2 dx

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Q: For what values of x does the series below converge? What is its sum? What series do you get if you…

A: We have to find the sum and derivative of the series.

Q: For the F(x) function shown in the figure, find P(0<x<0.5)

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Q: 46 0-25 A= ,0 01 Find all the eigenvalues of A. For each eigenvalue, find an eigenvector. (Order…

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Q: Differentiate. 3 y=2x® - 8x2 +21x+ 9 dy dx ||

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Q: Solve: 123 1 224 + 1 315 - 4x6 +...? +

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Q: If z=x2sinh 4 then 02z дхду

A: Explanation of the answer is as follows

Q: 1. Solve the following equations: c) (x² - 4xy – 2y²) dx + (y² + 4xy – 2x²) dy = 0 -

A: Given :x2-4xy-2y2dx+y2-4xy-2x2dy=0

Q: t = 3 ds ml

A: Solution of the problem as follows

Q: Which of the following is not true about the curve * x² 2 y = (x-2)(x-1) The vertical asymptotes are…

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Q: T/F: The function y(t) = Pert-rt is a soln to s differential equation dy/dt = ry where P and r are…

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Q: y" + y = 3x sin x

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Q: 1. Evaluate the Riemann sum for (x) = x³ - 6x, for 0 ≤ x ≤ 3 with six subintervals, taking the…

A: We need to solve using Reimann sum.

Q: 2x lim x-0 x²+5x

A: The given limit,      limx→02xx2+5x

Q: Let f(x) f'(x) find the values of A = B = C= D = 1 3x4+x3 + x -5 x3 -5.5 - X + 13.2 = (2AB-1 Given…

A: The given function is: f(x)=3x4+x13+x-5x3-x-5.5+13.2

Q: Find two polar coordinate representations for the rectangular coordinate point (-√2, √6), one with…

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Q: a) Use the Product Rule to find the derivative of the given function. b) Find the derivative by…

A: Given  problem:- a) Use the Product Rule to find the derivative of the given function. b) Find the…

Q: a) Let zi = 4 cos Find 2₁ - 22 and 7π 12 21 Z2 5TT 12 + i sin and = 3 (cos. Leave your answer in…

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Q: S dx (1+x) √x

A: Given,I=∫11+xxdxSubstitute  u=x(u2=x)Differentiate du=12xdx2du=1xdxThereforeI=∫21+u2du

Q: 7. 8. 9. y = 2 Evaluate the integral x4 6x5 - 1 Evaluate 2 √ (9x² (9x² − 10x + 6)dx Find the area…

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Q: Ут. У 4+ 2 ly мв a.

A: The given series,       ∑k=1∞2k4+k

Q: 1. 3) Suppose A = 4i-6j, B = i + 7j and C = 9i - 5j. Find (a) ||5B-3C|| (b) unit vector having the…

A: Given: A=4i−6j, B=i+7j and C=9i−5j Since you have posted a question with multiple sub-parts, as per…

Q: Find the critical points c for the function f and apply the Second Derivative Test (if possible) to…

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Q: 6. Let f(x) = x³ + 6x² - 15x - 10. a) Find the intervals of increase/decrease of the function. b)…

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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: Consider the following function: Step 2 of 3: Find f Answer f(x, y) = (4x + 3y)

A: I have stated the used formula and the property in the solution

Q: A smooth vector-valued function R(t) satisfies R(1) = (-3,7,9), R'(1) = (0,5,6) and R'(1) = (4, 1,…

A: Explanation of the answer is as follows

Q: Assume that the given figure is the graph of f'. An + 2 4 5 6 Identify the true statements. f(1) is…

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Q: Find the values at which the points of inflection occur. (Use symbolic notation and fractions where…

A: The given function is f(x)=xx2+30.................................................. (1)…

Q: The height of a rider on a Ferris wheel is represented by the equation below. h (t) = 62 +45…

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Q: Forces of 36N and 50N act upon a body at a 50° angle. Find the magnitude of the resulting force and…

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Q: 3. y² = -x, x² + 3y + 4x+6=0

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Q: y" — 5y' = x − 2, when x = 0, y = 0, y' = 2

A: To find the particular solution for the given DE.y''-5y'=x-2, when x=0, y=0, y'=2

Q: Suppose that f(x) = 5x6 - 7x5. (A) Find all critical numbers of f. If there are no critical numbers,…

A: We have to solve given Questions.

Q: eu [(= + e (+ + e" Inu - e" ln x) du

A: integration

Q: Is it possible to Solve all the points with finding Domain and Range. 1) y sin x y = cos x y= tan x…

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: Find lim [x csc(x)] as x approaches zero.

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Q: 3- Find the length of the curves in Exercises 1-4. x = (y3/2/3) - y¹/2 from y = 1 to y = 9

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Q: Show that f Va²-t²dt = a² sin-¹(2) + x√a²-x².

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Q: 8/11 Correct While walking in the country, you count 36 heads and 110 feet in a field of horses and…

A: We can find the answer as below

Q: Evaluate 1 tan |2x| dx 100

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