How many 4-digit numbers can you make using the digits 1-5 if repetition is allowed? *

Q: Determine if the following statements are true or false. Prove if it is true or give counter example...

A: as per the students instructions to solve 1.a....see the attached image below

Q: Question No. 1 Solve: (x* + y) dy = xy dx

A: Introduction: A function fx,y is a homogeneous function when ftx,ty=tnfx,y holds. Also, a function f...

Q: Find the first three nonzero terms of the Maclaurin Series for tanx.

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Q: Given the system of equations

A: Given, the system of equations                            4a-2b+11c+3d=206a+3b-2c+15d=25   10a+b-2c+...

Q: dx 5.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Use Euler's method to approximate the solution of the following initial-value problem at t = 1: y' =...

A: Let us consider the given equation y'=f(x,y), y(x0)=y0 To determine the value of the function using ...

Q: (21+) dt I. Using the trapezoidal rule complete the following. a. Estimate the integral with n= 4 st...

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Q: f(x) =(3)* + 1. Find the following: Domain of f (x): Range of f (x): Asymptote of f (x), if any: Is ...

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Q: Suppose you purchase a home and obtain a 15-year loan of $160,000 at an annual interest rate of 6%. ...

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Q: Use properties of logarithms to condense the logarithmic expression and write it as a single logarit...

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Q: Evaluate the following statement: the function 8z16 + 11y14 + 4z6y8 10:6 + 7y4 + 10² y4 does not hav...

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Q: Use Euler's method to approximate the solution of the following initial-value problem at t = r: y' =...

A: Let us consider the differential equation y'=f(x,y), y(x0)=y0 To determine the value of the function...

Q: Laplace transform of t^n

A: We have to find the laplace transform of the function ft=tn. For this, we will find the laplace tran...

Q: Use Green's Theorem to calculate the line integral shown in the figure, along the C curve that consi...

A: Given integral is ∫Cxydx+2x2dy. We have to calculate the given line integral along the C curve that ...

Q: f(a1,a2,a3) = a1 + 2a2 + 3a3 subject to a12 + a22 + a32 = 56 Above defines an optimization problem....

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Q: (D² +D-1) y=0 ,when x= y= 0.y'= y" = 1 , y" = -1

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Q: A city planner makes a scale drawing.oroposed playground. The length of the actual playground is 78 ...

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Q: Calculate the simple interest due on a 45-day loan of P1,600 if the interest rate i

A: Principal P = P1600 rate of interest = 9% (considering per annum) time = 45 days=45365year The formu...

Q: a) Complete the statement: A JAK = Options: A SYW, AWYS, ASWY, AWSY b) Which theorem proves the simi...

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Q: In estimating cos(3x)dx using Trapezoidal and Simpson's rule with n = 8, we can estimate the error 1...

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Q: Starting from the point (0, 4, -2) reparametrize the curve r (t) = (0 – 2t) i + (4 – 2t) j + (-2 + 0...

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Q: Q1. Find an approximation to V9 using 4 steps Bisection Algorithm

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Q: (b) Let W = M2×1(C) be a vector space over C. Give a basis ß for W.

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Q: Need fast If R is a UFD and f(x) , g(x) are elements of R[x] , then c(fg) = c(f)c(g), do not copy pa...

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Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y" +y...

A: Given differential equation is y''+y'+54y=1-u(t-π);y(0)=1,y(0)'=-1 - Taking Laplace transform of the...

Q: A piece of cardboard with 30cm lengh is to be bent as in Figure 1. Find the value of 0 for the shape...

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Q: plz provide answer asap

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Q: QUESTION 6 Q2 represent the a Continous Assessment Question Alternative solution exists in a linear ...

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Q: 999+1*35=

A: Given: 999+1*35 To find: Find the value of given expression.

Q: Find general colAion -4

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Q: Let W = M2x1(C) be a vector space over C. Give a basis B for W.

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Q: Step by step else downvote, with clear handwriting. Prove that for any real number x, there exits a ...

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Q: Problem 7. Consider the matrix 1 1 a A := 1 b b C C C Find all possible combinations of values a, b,...

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Q: Consider the Mapping diagram below. Y 1 a 2 b 3 4 d 6 a) What is the domain of f ? b) What is the co...

A: Brief explanation of the answer has been provided in the file attached below. If you have any doubts...

Q: (c) Let V and W be given as above. By using linear extension method, determine whether V is isomorph...

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Q: 3. Find the derivatives of y with respect to x: a) y = xe* – e* b)' y = e(tx+) c) y = e*(sin x + cos...

A: Given: (a.) y=xex-ex (b.) y=e4x+1x (c.) y=exsinx+cosx (d.) y=ln3xe-x   To find: The derivatives of y...

Q: The value of ffR (1+ 2y)dA, where Ris triangular region with vertices (0,0), (5,0) and (5,5) is Sele...

A: We have to evaluate the double integral ∬ 1+2y dydx over the region R, where R is the triangular reg...

Q: 1. For the given functions f (x), let xo = 0, x1 = 0.6, and x2 = 0.9. Construct interpolation polyno...

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Q: 1. use O D with tangent As and AM'. 20° 35° M а. тzGMН H A b. MLAEM E 70° S 125° B,

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Q: 1. Suppose that f2(x) is a measurable function. Is it true that f(r) is measurable? Prove, or give a...

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Q: Express the vector field B = (x^2- y^2)ay + xzaz in spherical coordinates at ( 4, 30o, 120o) * Expre...

A: Relation between cartesian and spherical co ordinate system x= r sinθ cosϕ   , y = r sinθ sinϕ   , z...

Q: Express the solution of the given initial value problem in terms of convolutional integral. A. y/" +...

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Q: A charged particle moving in a magnetic field will experience a magnetic force. Suppose that the mag...

A: We have to find vector field by substituting corresponding values of x and y . Then draw vector fiel...

Q: Find a model for the Body Mass Index (BMI) of a person, given that BMI varies directly as a person's...

A: By definition, a function is a special case of a relation between the members of two sets. It is a r...

Q: 12x+1 dx Var-3 2. SxVx +4dx 3. SrVx + 4dx

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Q: 9x²- e2x 2 Given by a function of x is equal to v1 – cos²x + = 0. find the roots of equation with st...

A: We can solve this by bisection method  

Q: Gamma Functron 1. Find (5. 2 ) Answer: 32.5781. r (4.5) P (415) - 0.06 010537 1.6317

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Q: y;(x) = e, y" – y' + 0.25y = 0, c. Verify if the functions yı and y2 are solution of the given diffe...

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Q: Noah and Lin are making paper cones to hold popcorn to hand out at parent math night. They want the ...

A: Given , volume of cone = 97 cubic inches We know Volume of cone = 1/3 pi r^2 h

Q: -1.25 4 dr e 0.25

A: Given: ∫0.251.25e-4x2dx