Find the value of a and b if. a=2&b=9 >ite} sho= &b=3 ܂ 0 " 3 (s+a) +b &b=3 a=-&b=9

Q: c. Given f(x) = 2x - 3, g(x) = -4x² + 9, h(x) = 4x² - 12x +9; find 1. f(x)* g(x) 2. h(x)/ f(x) 3.…

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

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Q: 37) Solve the following simultaneous linear D.E. 2 [2D + 2 ²D +2³]} = {²} 2D +5 2D + 31

A: The solution is given by first solving equations simultaneously and then find the general solution…

Q: Q5A) Find volume of body from above Z=√√4-x² - y² and below Z = 1 using Triple integration.

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Q: 5. Suppose that the inverse demand and inverse supply functions are pp = 10- 2x and ps = 4 + .2√x,…

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Q: The following diagram shows the parallelogram ABCD. B A D Let AB =p and AC=q. Find each of the…

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Q: B)Convert r = √2 cos(0-) to cartesian.

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Q: B)ls w = Ze² analytical function or not?

A: Sufficient condition for differentiability  : Let G be a region in the plane and let u and v be…

Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)]…

A: 1. f(1)=4 So, h[f(1)]=h[4]=-42+2=-14 So, h[f(1)]/7=-14/7=-2   2. h(3)=-32+2=-7 So, 2h(3)=-7×2=-14…

Q: .a. Is the set of vectors W = {(x,y,z) x,y,z € R,x=z+2} subspace of R³?

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Q: Solve the following differential equation ÿ+y+y=e-2x (9x + ln(x))

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Q: B)Prove (cose + i sine)" = cosno + i sin no

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Q: - Calculate Find the arc length of r(t) = (t² + 1,4t³+3), -1≤t≤0

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Q: of The Path modeled by - 4/1/4ײ +24 2 Jon the V diver is 9 19 x OT C + S S

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Q: Question 7( Determine the most suitable form of M) that should be used when solving each 24…

A: To Determine: Most suitable form of y(t) for solving the equation: (a) y''+9y=sin(2t)+t2cos(3t)+3.…

Q: Which of the following CANNOT be an Euler circuit for the graph in #26. BACDAEB EABDCADE ABDEA

A: EB is not an edge  So, BACDAEB is not an Euler circuit. Again the cycle EABDCADE covers all the…

Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = // x

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Q: The demand curve for a certain product is given by p(q) = 593-q². The supply curve is given by p(q)…

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Q: Ο Ο Ο 12 Identify the simple graph. e₁ (α) (b) (c) U (a) e vo (b) τ Δ U1 Ut (c)

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Q: 5x The resulting integral of S x3+x²+4x+4 What is the value of b? dx is In [(x²+a) ²/b x+d + e…

A: We have to find the value of b where ∫5xx3+x2+4x+4dx=lnx2+a1bx+d+etan-1x2+c

Q: In finding the root with Newton's Method, an initial guess Xo = 4 with f(Xo)= 1 leads to X1 = 3.…

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Q: (a) Let f(x, y) be defined on (a, b) × (c,d). (i) Give an example to show that existence of partial…

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Q: B)Is w = Zez analytical function or not?

A: Here we use the Cauchy Riemann equations to show that the function is analytic or not. At follows

Q: What is not true about the curve y = as x-∞, y 0 None of the Choices Domain is 1 < x <∞. O Intersect…

A: Given curve is y=lnx-1xex The following options are verified as shown below.

Q: Obtain the 5th term of the power series of sin(x) for a value of x = 4.55.

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Q: Find the general solutions of the system. 30-4 4# -15 -1 x 10 7 x(t) =

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Q: Q2A)Matrix A = [1 2. ,find Eigen values of A².

A: The given matrix is A=1342 To find: the eigenvalues of A2

Q: . Working with your equation in standard form, verify the coordinates of the x-intercepts by using…

A: To find: x-intercepts of y=x2-2x-8 using the quadratic formula.

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: We have to solve given problems:

Q: Homework) read the following mathematical steps of finding sum of series. ∞ Σ 2n = 1+2+4+8+16+ ...…

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Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

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Q: 15. Find a basis for the row space and the column space of the matrix 132-5 -2 3 671 rank of each…

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Q: College Units Frequency 0-24 4 25-49 3 Find the standard deviation for the grouped data. 50-74 6…

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Q: Q2: Find a root of Xlog 10 X - 1.2 = 0 using Newton's Raphson method correct to three decimal…

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Q: Find the Wronskian of two solutions of the differential equation t²y" - t(t− 2)y' + (t−6)y = 0…

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Q: 5 Given A=-2 -2 01 -2 6 2 and X=X₂ [X3] 1 0 2 7J show that XTAX = 27, suggest that 5X +…

A: Given- Given A = 5-20-262027 and X = x1x2x3. To Show- Show that XTAX = 27, suggest that 5x12 + 6x22…

Q: Q3A) Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

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Q: The temperature in Edmonton, over the course of a year, can be approximated using the sinusoidal…

A: The given sinusoidal function is: Tx=16.11sin0.51x-1.75+9.14   ......(1)where T is the temperature…

Q: Q3: a) Evaluate the following integrals: 1. f sin2x 1+ cos²x dx. √9-x2 2. fv-x² dx 3.f 1+x dx

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Q: Show that 18! ≡ -1 (mod 437).

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Q: B)ls w = Ze² analytical function or not?

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Q: BA)Find normal line and parallel plane to the function f(x, y, z) = x²y²z² - 4 At point (1,-1,2).

A: Given  function f(x,y,z) =x2y2z2-4     …………………………i ∇f=2xy2z2 i^+ 2x2yz2 j^ +2x2y2z k^ ∇f|at…

Q: Graph the feasible region for the follow system of inequalities by drawing a polygon around the…

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Q: Choose the correct solution the following differential equation * x²-x+1 y(1) = x 1 H|2 + Option 1 y…

A: I have given the answer in the next step. Hope you understand that

Q: b) (D² +₁²) x = a sin(n+ +2), where x= D X = O X=DX = 0 at t=0

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Q: Use the principles of linear programming to maximize or minimize and interpret the following…

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Q: If a function does have a property you do not have to explain why; but if a function fails to have a…

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Q: he Taylor series of the function f(x) = cosx at x=0 is [co (1), 2n 2n=0 (2n)! (-1)"x²n n=0 (2n)!

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Q: Q6A)If y = sin-¹ find Zxy. on

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Q: B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 find 1. h[f(1)] 2.…

A: Given that f(x) = {(- 2, 1), (1, 4), (2, 5), (3, 6)} g(x) = 6 + 4x h(x) = - x 2 + 2 1. h[f(1)]/7 =…