0 (x-2)k 2k=1 Vk 00

Q: Given A = (-5, – 3) and B= (2,6), determine: a) AB b) AB

A: Given :A=(-5,-3)B=(2,6)

Q: The buyer for a retail store located in a shopping mall has convinced himself that if he prices…

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Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: (b) f(x)= e²**1 at P (In 2, 4e) 2.x+1 3De

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Q: Given the graph as below: ea Write the adiacency matriv for the granh (i)

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Q: 2. A bushfire spreads with burning area according to the following function, A(t) = 160t – 40t² (in…

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Q: Write down the solution of the differential equation: y +4y +3y x2 -5x +4 if y(0) = 0 and y (0) =1

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Q: xdy+ydx=xcasx-dx-

A: According to the company rule we can answer only first question and rest can be reposted.

Q: A region is enclosed by the equations below. y = cos(3z), y = 0, x = 0 6 Find the volume of the…

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Q: onsider the functionfx) 5x" + 8x 1. f(x) has a critical point at x ind the value of A: A, does f(x)…

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Q: Show that the following functions satisfy Laplace's equation 0. dy? %3D (a) f(r, y) = r*y – xy³

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Q: 1. x'-11/x +2 dx

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Q: POS jma- 3 d 1 sin t dt %3| dx 1 1 (A) – x sin(x²) (B) sin(x²) (C) x sin(x²) (D) –sin(x²) ов O O O O

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Q: A retail company estimates that if it spends a thousands of dollars on advertising during the year,…

A: Explanation of the answer is as follows

Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify o…

A: Question other than marked is also solved for your help.

Q: 15 If f(x) 2 sin : then f'(x)

A: We will find f'(x) of the given function f(x)=2sin-1x5 in the following step.

Q: Q21 - In simpson's 1/3rule the intervals must be b) odd c) non of them 3 [2 13 -61 A=2, 2= -2 b) =2,…

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Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: Let V = R2. For (vị , v2), (W1, w2) E V and k ER define vector addition by: (vi, v2) O (W1, w2) :=…

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Q: (1) Which equation could represent the circle that has the center at A = (-2, 3) and a point B = (6,…

A: Equation of circle centered at (a, b) is (x-a) ^2+(y-b) ^2=r^2 Where r is radius

Q: 2 dx 6) dx sec x csc x 7) -4tan x dx 8) -cot x dx

A: 1. ∫2sec(x)dxWe know that 1sec(x)=cos(x)=2∫cos(x)We know that ∫cos(x)=sin(x)=2sin(x)+C 2. ∫5csc…

Q: 1. The position of a particle is given by the function s(t) = t* – 32t where t is measured in…

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Q: For the following table, assume that y = a (x ^b). Then 2 7 9 11 11 17 13 25 y = 3.083 x^2.312 O…

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Q: How many distinct solutions does the following equation have? I1+I2+I3 +24= 100, such that %3D I E…

A: To find the distinct solution of x1+x2+x3+x4=100 Since, x1∈{1,2,3..},x2∈{2,3,4,…},x3,x4∈{0,1,2,3,…}…

Q: 23. cos (3z + 4) dz 25. sec2 (3x + 2) dx

A: A

Q: Compute the given integral. ICOS Idz +C

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Q: 2 tan theta / sin 2 theta = r in rectangular coordinates

A: Solving

Q: 52.8706e-0.3277t h'(t) - (1 + 2.449e-0.327M;2 hes/year, where the child's height h(t) is measured in…

A: Given :

Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify co…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Evaluate f x3 using substitution (3–2x)5

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Q: Assume that all constants are positive and not equal to 1. 7" = 6 Hint

A: Given query is to find write the expression in logarithmic form.

Q: Given the function g(x) = 8x³ + 12² – 48x, find the first derivative, g' (x). g'(x) = Notice that…

A: We can solve this as follows:

Q: Given that (x + 2) is a factor of the polynomial 2a – 5x2 + ax + a, the - value of the constant a is

A: If (x+2)  is factor of the polynomial 2x3-5x2+ax+a then remainder will be zero when we divide (x+2)…

Q: Match each series to the name used to describe it. a. geometric series b. p-series C. none of the…

A: We know that,  A geometric series is the sum of an infinite number of terms that have a constant…

Q: Find solutions of the following equations by the method of separation of variables: 4. 2+= 0 at xe,…

A: 5.

Q: Step 4 Since u = 6 – 4x, then converting back to an expression in x we get the following. (Remember…

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Q: Find the interval on which the curve 1 y = dt 4 +t+ 4t2 is concave upward. Note: When using interval…

A: 4t2+t+4 =2t+142+6316y=∫1x12t+142+6316dtFormula:∫ 1a2+x2 dx =1a tan-1xay =1216316 tan-12t+1463161x…

Q: Q2\Find the point at which the tangent to the curve y = v4x2 +1-2 has its slop 2

A: Tangent to curve

Q: A theater has 27 rows of seats. The first row has 18 seats, the second row has 20 seats, the third…

A:

Q: Estimate the area under the graph of f(x) 1 over the interval [3, 7] using five I+ 2 approximating…

A: The given function is f(x)=1x+2 over the interval [3, 7] We have to use five approximating…

Q: Find the gradient of the curve y = x° – x2 – 8x – 2 at the point on - - - the curve whose…

A: As we know that; The expression for the gradient or slope; m=dydx And The Power law; ddxxn=nxn-1

Q: (6) In the interval 0 <x< 2n, the solutions of the equation tan? (x) = tan(x) are? (A) "/4 (B) "/4,…

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Q: A rectangular garden is to be fenced in next to a garage so that fencing is needed on three sides…

A: Let the dimension of the rectangular garden be:                             Length=L and Width=W…

Q: .......................... .......................... Solve the equation algebraically. Round your…

A: Solving the problem by finding the value of x.

Q: d²y Solve the ivp differential equation: dx² +y = e2*; y(0) = 0, y'(0) = { %3|

A: Given d2ydx2 + y = e2x;  y(0)=0,  y'(0)=25

Q: e*i Ax lim Ei=11+xi [0, 1] 2) %3D1

A:

Q: Find the limit. Use T Hospital s cos(x) lim - sin(x) + 1- x- (1/2) os (27) CoS sin(2n) 1- 0.

A: Given query is to find the limit of the expression.

Q: Compute f(x)dx f(x) = { 2x if x 1

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Q: Let us model the number of automobile sales in a developing country as 151,000 N(t) t 2010 1+5.6e…

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Q: Q1\ Differentiate the following (choose two only) 1)z = sin (3x + 1) 2)f (x) = 3cot-12t 3)y = e 8*…

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