2. The Minimum point of y = 8x+4 (x-2)²

Q: Determine inverse z-transform of the following equations: Z 2² a. b. (z-2)² (z-1)(z-0.5)

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Q: 1. Consider the curve F(x, y) = 0. Show that if F has continuous second derivatives, then a formula…

A: We will use chain rule of partial derivative  If F is a function of  two independent variables x and…

Q: Consider the IVP: y" +9y = 40e*; y(0) = 5, y'(0) = -2. Find the general solution. (A) y(x) =…

A: The given differential equation is second order linear, homogeneous differential equations with…

Q: Evaluate the line integral, where C is the given curve. L xy² a ds, C is the right half of the…

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Q: 10 Re(1 + i)¹⁰ Select one: O a. 0 O b. 1/2 O c. 3/4 O d. 5/6

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Q: Find the Fourier transform of the given waveform. f(t) -2 -1 7 1 0 1 2 r(s)

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Q: Find the z-transform of the following equations: a. 2un + n 2 b. cos(3n) + 2 sin(3n)

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Q: Calculate the points of intersection of the curves x² = 4y and bn=) = y 29vaus at newed biloa gris 1…

A: Centroid: The centroid or centre of mass of a region bounded by the curves is the point where the…

Q: Let A and B be square matrices of same order. Prov nomials of AB and BA are same. Do AB and BA have

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Q: Instruction: Divide the given straight line AB externally at a point P such that AP:PB = a:b Methods…

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Q: Determine whether or not the given vectors in R³ form a basis for R³. 0 0 0 V₁ -8, V3 = 8 -4 V₂ 7 -2…

A: We have to determine whether or not the given vectors in ℝ3 form basis for ℝ3

Q: 1. Consider the following first-order ODE: dị y t dx from x = 0 to x = 1.5 with y(0) = 1 (a) Solve…

A: We can solve this using given information

Q: What is the missing number in the sequence: 21, 34, 55, 89, ___, 233?

A: To find the missing number in the sequence: 21,34,55,89,__,233.

Q: 2yy"=1+y'².

A: We have given differential equation ,  2yy'' = 1 + y'2 Here , substitute y' = u ⇒ y'' = u u'  Thus…

Q: Solve the exact differential equation (In y - y sin x-6e³x) dx + ( + cos x + 5 sec y tan y - 6y)dy =…

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Q: Numerical Differentiation: f(x) = sin x - x³ + 1 2. Find f(3.1) and step size h = 0.5 and 0.25

A: We know the forward differentiation formula is given by, f'(x) = {f(x+h) - f(x)}/h. Now, we will use…

Q: Theorem :- Let (F9 +1²) is a field and fale F(X). then the ident (f(x)) is maximal ideat iff iff.…

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Q: A Fourier transform is another integral transform often used in higher mathematics. The Fourier…

A: Given Fourier transform of the function ft with respect to t Fft=∫-∞∞ft e-iωt dt Fω=∫-∞∞ft e-iωt dt…

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

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Q: Let f: R→ R' be a ring homomorphism of commutative rings R and R'. Show that if the ideal P is a…

A: Let f : R → R' be a ring homomorphism of commutative rings R and R'. Here , P is a prime ideal of R'…

Q: a. Find the Fourier transform of the given function. 2A f(t) == t + A, 75150 2A f(t) = osts/ f(t) =…

A: This is a problem of Fourier expansion.

Q: For each of the following, verify

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Q: Stretching spring: Eighteen pounds of force is required to stretch a spring 3 ft. from its natural…

A: Force on spring to stretch it x unit of length  F=kx where  k is spring constant  Work done to…

Q: 8.M.2 One can define a bilinear form on R2 by the formula ‹ [ 8 ], [ 8 ]› = ac − 3ad − 3bc + 7bd. a)…

A: We have to find the Gram matrix G of the given bilinear form. Then, we can proceed further.

Q: Create a table wherein it shows your score or your • class interval • class width • frequency •…

A: To create a table where a data is shown with the frequency, class interval and cumulative frequency.

Q: The graph of 3[H(t2) - H(t - 3)] is given by:

A:

Q: Formulate a 4th order interpolating polynomial that models the COVID cases in the Korea from April…

A: Lagrange's interpolation formula for n points can be defined as:…

Q: Try to sketch by hand the curve of intersection of the parabolic cylinder y = x² and the top half of…

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Q: Get the combined application of Simpson's 1/3 and Simpson's 3/8 rules and and solve for the percent…

A: As per the question we are given the following integrand : f(x) = 8 + 5sin(x) And we have to find…

Q: Solve the quadratic equation: 2 z² − (3 + j5)z +j8-5=0 -

A: To Solve: the complex quadratic equation z2-(3+5j)z+8j-5=0.

Q: Farhana approaches the Islamic bank and applies for financing under the concept of Bai Bithaman…

A: Solution:-

Q: 3. Consider the double-integral 2xy² + 2 dx dy where D is the triangle with vertices (0,0), (5, 1)…

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Q: (x+2) 2x+4 ex dx in³ x dx 3 12 dx +9x² x-2 dx dr

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Q: ansform of the follow 1

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Q: Use at least 6 decimal places of accuracy 1. C sin (z² + 2) dx using n = 6 2. √ √² +6dz √² +6 dz…

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Q: Using Bisection method find the root of cos(x) - xex=0 with a = 0 and b = 1. Show your solution…

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Q: Consider the following optimisation problem max f(x, y) = t√x y, subject to tx2 + y ≤ 5 x ≥ 0, y ≥…

A: a) when t=1 , max f(x,y) = xy  subject to x2 + y≤5 , x≥0 , y≥0.   x2 + y≤5  ⇒y≤5-x2 ⇒ f(x,y)≤…

Q: Name three logs that would probably reveal the presence of shales. Explain your answers.

A: Following three logs: 1)Resistivity logs  2)Gamma ray logs 3)Induction logs

Q: Based on the image attached, solve the following questions. i) Express graph the system by using a…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: N 2 (2-1) (2-0.5)

A: The detailed step is given below. We do the partial fraction by first subtracting adding "1" in the…

Q: Find the determinant of the following matrix- (1 x₁ x² ... x7-¹\ 1 2 x2x² x²2 ... 1 In x² : ⠀ ⠀

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Q: 1. Use Newton-Raphson method to find sixth iteration of a real root of the equation: cosx-xe* =0…

A: Formula Used: xn+1 = xn - { f(xn) / f'(xn) } .

Q: dªy Using the reduction of order method, find the general solution of the differential equation dx4…

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Q: Q1/ Find the area of the region bounded by the given curve (y = x² - 5) and the curve (x = -) by…

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Q: Solve the following differential equations using this method - In both M(x,y)=0 and N(x,y)=0 replace…

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Q: The particular solution of (D³-5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A: Since you have asked multiple questions so as per guidelines we will solve the first question for…

Q: (b) Pak Majid sells three grades of eggs A, B and C. The total price of a grade A egg and a grade B…

A: We have to solve for the values x,y, and z by using the inverse matrix method.

Q: 2. Consider the following first-order ODE: (a) Solve by hand with Euler's explicit method using h =…

A: Given the differential equation dydx=x-y with the condition y0=1 and step size h=0.4 Solve using…

Q: How many years are required for P5,000 to increase to P8,000 if invested at 12% per year compounded…

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Q: Find the general solution of D.E. below: (x-2y) dx + (2x+y) dy = 0

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