-3 1 4 What is the transpose of the matrix 5 2-1

Q: d E A. By power series, prove that: -cosx = -sinx dx

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Q: The period of y = 2 sin 4x is _____. 2 pi/2 4pi

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Q: For the function x-3 f(x) =: 2x +5 Determine coordinates of the y-intercept of the inverse function…

A: We can find the inverse function and the required answer as below.

Q: What are intervals of concavity of the function f(x) = 2x - 6x² – 3 ? Concave upward on (1, o) and…

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Q: What are the first three non-zero terms in the Maclaurin Series of f(x) = e* sin(x)? x - +-- О а.…

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Q: Given: cosg=-1, sin x =- 13 ,A is in the third quadrant, and x is in the fourth quadrant; evaluate…

A: This question is based on Trigonometric equation.

Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

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Q: Solve log,x + log2(x – 2) = 3, for x > 2. %3D

A: According to guidline, 1st are solved

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: -2 is a critical number of the function f(x) = 2x - x2. Select one: O True O False

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

Q: Use back-substitution to solve the system of linear equations. X - 2y + z = 5 y + z = 8 Z = 3 (х, у,…

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Q: Рreview iv. g(0) = Preview v. lim g(x) = Preview T -1 vi. lim g(z) =L Preview %3D T-1+ vii. lim g(z)…

A: limx→a f(x)=L if and only if limx→a- f(x) =L=limx→a+ f(x) .

Q: What are the intervals on which the graph 4 .3 of the function f(x) = x* - 2x +1 is concave…

A: Given query is to find the the interval where graph concave downward.

Q: Express cos (a) in terms of cos(2a). Express sin (a) in terms of cos(2a). cos² (a) COS sin (a)

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Q: Find the characteristic polynomial of the matrix, using either a cofactor expansion or the special…

A: topic- matrix operations

Q: Q2: A- Find the complete solution of the differential equation y"+2y'+4y cosx subjectcd to the…

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Q: Which of the following functions f : R → R is injective? o f(x) = x²,x E R O f(x) = c, c E Ris a…

A: Solving

Q: Determine the value of lim,00 7²+5 a +3r+7

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Q: Solve for x and y the following system of simultaneous equations 2 In(x) = In(y) + In(25) e*e" = e5…

A: The given equations are;  2ln(x)=ln(y)+ln(25) exey=e5

Q: Consider the contour represented in the following figure. The points marked on the figure are А(5,…

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Q: Express the following vector in the form v = v,i+v2j+V3k. 3u - v if u = (4,6, – 8) and v = (2, –…

A: We can find the answer as below.

Q: the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the…

A: Find your answer below

Q: What is the absolute minimum value of the function f(x) = x - 3x2 on the interval [-2, 4] ?

A: Given function is f(x) = x3 - 3x2 ; -2 ≤ x ≤ 4 We have to find its minimum value.

Q: For the following function, find its inverse. f(x)= In(6x 2)

A: Given, f(x)=ln(6x-2)

Q: 1. Solve the initial value problem 2 = x? – 1, y(3) = 7. dx

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: at is the absolute maximum value of = x - 3x? on the e function f(x) erval [-2,4] ? а. —20 о b. 16

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Q: The function f : R → R defined by f(x) = cos(x – –) is a. one-to-one and onto. b. onto but not…

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Q: Express the vector 7i - 6j + 6k as a product of its length and direction. 7i - 6j + 6k =[Oi+…

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Q: 2 Find the slope of the function f(x) = x 3 at x = - 3. -27 27 81

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Q: (5) Suppose m and bare constants. What is the linearization of the function f(x) = mx +b at any…

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Q: a) Determine whether the series (-1)"n² 00 Σ is convergent, n3 + 3n + 1 n=1 absolutely convergent or…

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Q: Simplify arcsin(sin240°). 60° 240° -60°

A: First draw the grap then make all the point then simplify.

Q: Which of the following is false? O none 3 n The series >, is divergent. 6+n n=1 00 1 The series is…

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Q: Sè baucy) dy

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Q: O Question 17 Evaluate the integral dx (7x2 + 1) by making the appropriate substitution: dx = (7x2 +…

A: Solving

Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

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Q: n²+4 2(-1)n-1 2 n=1 n²+ 3

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Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: why

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Q: Calculate the value of (1+2i)² and then use this value to find the roots of z-z+ (1 – i)= 0. (1+…

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Q: fex) = I+ sinu x f(x) = 1T fcx) =-15 * sinux - secos4X %3D = -15 e sin4X- se"cos4X mL

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Q: Describe the long run behavior of f(x)=-2(4)x+4

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Q: (4) Consider a product whose unit cost is $3/item and whose demand function is given by 50000 D(p) =…

A: Profit function: Subtracting the cost function from the revenue function yields the profit function.…

Q: 60 50 40 30 20 10 -10 10 20 30 Victoria is a lifeguard and spots a drowning child 30 meters along…

A: We need to find distance of jumping.

Q: The polar coordinates of a point are given. Plot the point. (4, 7/2) y y 10 10 5 (4, 7/2) (4, 7/2) X…

A: Given polar coordinate is (4 , π/2) We have to find the rectangular co-ordinates.

Q: Find the distance between points P, and P2. P,(4,5,2), P2(6,2,8) The distance is (Simplify your…

A: The distance between two points P and Q is given by: d(P1,P2)=(4-6)2+(5-2)2+(2-8)2

Q: Express the following sums using sigma notation. a. 7 + 8 + 9 + 10 + 11 b. 8 + 16 + 24 + 32 + 40 +…

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Q: The graph of a function f is given below. According to the graph, f'(x) < 0 on (-1,0). y y = f(x) -2…

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Q: Question 2 [ a) [ : Explain why the following series (-1)" Σ 1 + n5/2 n=1 is Alternating. b) h. 1:…

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