The mean score of a girl in 3 tests is 68. What should her mean score in 2 remaining tests be in order to have an overall average of 80? 85 93 98 O 89

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A: Let m represent the mangoes  b represent the banana  and s represent the santols  Therefore…

Q: if 0s1<3 12. Compute the Laplace Transform of K) = - if t2 3 A) 1 B) 1 C) 1 D) +

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Q: 2. Find the cerntroid of the area bounded by the curve y= 2x + 1 x+y =7 and x= 8

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Q: The green graph below shows the graph of the solution to 1 24" + by' + cy = 0 y(0) = 0, y'(0) 1 for…

A: As per the question we are given the following second order linear homogeneous differential equation…

Q: Let f, g: R → R defined by if x 1 f(x) = %3D and g(x) = 3x + 2. %3D fog and go f.

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Q: Determine whether the function involving the n × n matrix A is a linear transformation. T: Mn,n -…

A: Suppose T:Mn,n→Mn,n such that TA=4AX-4XA, where X is a fixed nxn matrix.To check: whether T is a…

Q: 19. Solve y'(1) + y(t) = sin t; y(0) = 1 by Laplace transfrom. %3D

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Q: What is the iterative method in system of linear equations? 2. Give atleast two examples of each…

A: We can solve the 2 examples using jacobi formula

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Q: Spline Interpolation Derive the linear system corresponding to the natural cubic spline through (0,…

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Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(æ) 0.202 and…

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Q: Write an expression equal to log, (5) + log,(6) using at most one log.

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Q: Use the table of frequently used Taylor series to find the sum of the series. 4 5 x +x° +x* +x° +…

A: Taylor series exaption value

Q: 1. Use a Chain rule to find aw aw and if w = x?, = sin(r²s) ar as

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Q: f(x) 3D 2.4х5 — 5.5х3 + 4.2х — 2.8

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Q: Use a calculator to solve the following equation on the interval 0s0<2n. tan 0 =9

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Q: Using Excel, get the roots of the follo equations through Bisection Method 1 f(r) = r2 –r - 2

A: The given equation is f(x)=x2-x-2 find f(0) f(0)=02-0-2=-2 find f(1) f(1)=12-1-2=1-1-2=-2 find f(2)…

Q: Valid or Invalid? Use truth table.

A: Introduction: A tautology is a compound assertion that holds true regardless of the separate…

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Q: Let g(t) give the total number of gallons of maple syrup sold by a local farmer over the first t…

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Q: Prove that u = e-* sin 2y is harmonic. Find a function vsu f(z) = u + iv is analytic. Also express…

A: The function u=e-xsin2y is harmonic if ∂2u∂x2+∂2u∂y2=0 therefore  ∂u∂x=∂∂xe-xsin2y=-e-xsin2y…

Q: Find a homogeneous linear differential equation with constant coefficients (preferably in factored…

A: Here we can use the fact that  D+an+1 annihilates xne-axD2+b2n annihilates xnsinbx

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Q: Use the following methods to solve for the root of the equation f(x) = xe¯* – sin²x Direct Search…

A: Direct search method: If f(x)=0 has a root in between a and b, then divide the interval into…

Q: -1 with a =-1, b =7, c =12, and d = -11. Find the trace 3 a Let A and B [7 d (the sum of the…

A: The solution is given as

Q: a. Find the area of the parallelogram formed by u and v. b. Find the volume of the tetrahedron whose…

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Q: 86. If f'(x) > 0 for all x and f"(x) < 0 for all xwhieh of the following could be a table of values…

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Q: Perform manual calculation of different Newton-Cotes Quadrature formulas to determine the area under…

A: To Find: Area under the curve f(x)=1+e-xsin4x, 0≤x≤1, Using Boole's Rule.

Q: To evaluate the exact value of f(x) = x(8x49 - x)(x30 - 3) , what order of the Taylor series…

A: f(x) = x(8x49 - x) (x30 - 3)

Q: Which of the following transformations are linear? Select all of the linear transformations. There…

A: To find: which are the linear transformations.

Q: 2. Show that the following graph is not planar. USM 1999 083 IVERS

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Q: ous annuity is a steady stream of money that is paid out, for example, b making Set up the…

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Q: LE

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The derivative of f(x, y) = e* sin y in the direction of 0 is given by cos y-V3 sin y Du f(x, y) =…

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Q: The sum of two numbers is 25 and their difference is 7. Find the numbers.

A: Let x and y be two numbers . The sum of two numbers is 25.i.e. x+y=25 ...(1)The difference of two…

Q: Find the general solution of the given linear differential equations y" - y = cos x - 5 sin(2x) By:…

A: 1) By using method of undetermined coefficient ,  We have given a differential equation  ,  y'' - y…

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Q: John has 25 students in his class. He promised to bring lunch for them on Friday. Here is what the…

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Q: Question 2 21 0 -1 0 1 1 3 1 Let A = 2.1 Find the eigenvalues of A. 2.2 Find bases for the…

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Q: х, + 3x, — 2х; + 2x5 2x, + 6х, — 5х,- 2х4 + 4xs 3x, = -1 + 15x, = + 8x, + 4x; + 18х, 5x; + 10х, 5…

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Q: Find the associated half-life time or doubling time. (Round your answer to three significant…

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Q: Determine the truth value of the statement and prove it on a sheet of paper: D = set of integers vn…

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Q: Solve the following and show complete solution. 1. Show that the following graph is planar.

A: # As per the guidelines we are entitled to solve one question at a time ,please resubmit the other…

Q: 2. The sum of the digits of a four-digit number is 23. The ones digit is 4 times the thousands…

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Q: We want to stabilize the system i = Ax(t)+Bu(t) using the state feedback u(t) = -µx1(t), where u is…

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

Q: point P (x, y) moves such that it is always twice as far from (-5, -6) as it is from (2, -3). What…

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