hea 14 Approximate (x²-4) dx using 4 rectangles. It is approximatley (If necessary, round to two decimal places. Do NOT round until the end of the problem.)

Q: Compute the determinant using a cofactor expansion across the FIRST row. (read carefully)

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Q: Part 2. Find the Standard Equation 3. hyperbola with vertices at (-2, -4), (-2, 6), foci at (-2,-5),…

A: To Find- Find the Standard Equation  hyperbola with vertices at -2, -4, -2, -6, foci at -2, -5, -2,…

Q: (C) y" + 21y+8x=y" + 5y' + e²*

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Q: 6. Let f(r) be a function such that: |S(-1)| F(-1)| FED) (-1) | S -1) | f'(-1) | ƒ"(-1) | ƒ""(-1)…

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A: We know that ,  A set is collection of any objects. Finite sets are the sets having  a finite or…

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Q: ey 2 In (Z5 x Z5, +5,-5) the set B = {(2n, 2n), n E Z5) is a subring.

A: Here given ℤ5×ℤ5, +5, ·5 is a ring, Also given  B=2n, 2n: n∈ℤ5, Since ℤ5=0, 1, 2, 3, 4 thus B=2·05,…

Q: 8. An open region or domain is an open connected set. Is the set S = arg (z) where - < arg(z) < è a…

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A: Let us consider the length be l cm and width be b cm of a rectangle Thus, the area of the rectangle…

Q: (b~ v d~) → (b d)~

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Q: 5. The set P = {a + bi|0 ≤ a < 1,0 ≤ b ≤ 1}

A: (6) Closure P¯  of P is the smallest closed set containing P. Given, P=a+bi | 0≤a&lt;1 , 0≤b≤1

Q: 3Fn-Fn-2 = Fn+2

A: Now, for Fibonacci sequence Fn, we have: Fn=Fn-1+Fn-2 So,…

Q: 3 5 2 -1 -7 -3 -3 2 1 2

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Q: In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. L-1{ 41 41 + + - (s+3)5} s-3…

A: The Inverse Laplace Transforms of the given functions are determined as shown below.

Q: 2 -1 4 a) 1 3 -1 2 1 11 (b) 1 -2 5 002 2 2 1 -6 7 5 4 -4 -2 -1

A: Explanation of the answer is as follows

Q: Find the general solution of the differential equation y" — 16y' + 73y = 0. NOTE: Use ci and ca as…

A: Please find the solution in next step

Q: The chain rule for two independent variables :looks like C) non of the other options O dw dx dw dy…

A: We have to write the chain rule for two independent variables and three intermediate variables.

Q: Find Maclaurin series generated by the :function -X et te 2 1+ 4 2! 4! + x2n (2n)! A) O

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Q: a) Use Excel Plot the function f(x)=2x-1.75x² +1.1x³ -0.25x* for x from -2 to 3 at a step size of…

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Q: Find the nth term for the following :function 24 25 23 32 4² 1 − (−1)n 2 n (2)" (n) 2,1, I I 52 B

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Q: Find the points on the cone 2² = x² + y² that are closest to the point (3,-3,0)

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Q: /Solve the following: ( ) 1 a) L-1 s(s²+a) 18z² (2 z-1)(4 z+1) b) Z¹

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Q: Find Mx, My, and (x, y) for the lamina of uniform density p bounded by the graphs of the equations.…

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Q: 3x²y dx (x³ + y³)dy = 0, y(1) = y(1) = -2 -

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Q: Show the surface area and volume of a sphere with radius ris 47r² and ³ respectively.

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Q: Solve the problem. Let T: 2->2 be a linear transformation that maps u = Use the fact that T is…

A: Given , T(u)=(7,-8) i.e. T(4,5)=(7,-8) And T(v)=(7,-4) i.e. T(2,-1)=(7,-4) Now ,we have find image…

Q: What is the future value of the annuity? Regular Payment $2500 every 6 months Rate of Compound…

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Q: The following symbols have the same :meaning yx (₂), x d² f dxdy a (of дх dx dy C) no, the first is…

A: Suppose fx,y is a function of two variables. To find the partial derivative of the function f with…

Q: dy/dx of the function (x³ - 2y² + xy = 0) at the point (1,1) is: B) 2/3 A) 4/3 O C) 5/3 O

A: We will use basic rule of differentiation to  find dydx   rule 1 : du±vdx=dudx±dvdx rule 2 :…

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Q: r² −1 = -(1-e²³) 2 the following methods: Fixed-Point iteration Newton-Raphson method tolerance of…

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Q: Starting at age 30, you deposit $2000 a year into an IRA account for re stream. If money in the…

A: Given that Starting at age 30, you deposit $2000 a year into an IRA account for retirement. Treat…

Q: * :Fill in the blank Infinite series are sequences of a special kind: those in which the n¹-term is…

A: To find the fill in  the blanks :-

Q: Solve for the only positive value of x that satisfies the equation ** − 1 = (1-e²³) Using the…

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Q: Problem 14.2. Use the method of elimination to find the general solution of the linear systems x' =…

A: According to our guidelines we can answer only one question and rest can be reposted.

Q: Find the solution √√y³(x-2) (5xy' +4y)=2

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Q: Transform the given differential equation into an equivalent system of first-order differential…

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Q: Show illustration and detailed solutions. A rectangle is inscribed in a right triangle, 5 by 12 by…

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Q: Estimate the following definite integrals using the Trapezoidal rule and Simpson's rule. Estimate…

A: The given integral is ∫0π sint dt To find: (a) definite integral by Trapezoidal rule and Simpson's…

Q: Taking Log on a both the sider and applying fo

A: Given, if           xxyyzz=C To prove that at x=y=z,                 ∂2z∂x∂y=-(xlog(ex))-1…

Q: Examples. Justify your answers briefly. (a) Is ---- ) conditionally convergent or absolutely…

A: Since you have posted a multiple question according to guildlines I will solve first (Q.a) question…

Q: Solve the initial value problem y" + 3y - 28y = 0, y(0) = a, y'(0) = 14. Find a so that the solution…

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Q: Show the surface area and volume of a sphere with radius r is 4nr² and πr-³ respectively.

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Q: Find the root of x² - 1000 = 0 using Newton's law of approximation

A: We have to approximate the root of x7-1000=0 now we have f(x)=x7-1000,  f'(x)=7x6 Newton's law of…

Q: 6. Let f(r) be a function such that: | ƒ(−1)| ƒ'(−1) | ƒ"(-1) | ƒ""(-1) | ƒ(4) (-1) | ƒ(5)(-1)…

A: The Taylor series of a real or complex-valued function f (x) that is infinitely differentiable at a…

Q: Introduction to operations research Question (Question 5) Solved a 3-variable maximisation Linear…

A: Please see the attachment

Q: (e) 1 sinh z +25 n=1 (-1)" z *2 + n2π2

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…