Show that the vector field A and B are everywhere perpendicular if A (2.-5,6) and B (6,5,-2)

Q: (6) (Show manual calculations for this task) Let the partial differential equation J²u J²u U = Ət²…

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Q: 2. An emergency committee consisting of 12 health's officer staffs is chosen from 10 doctors and 12…

A: An emergency committee consists of 12 health officers that are to be chosen from 10 doctors and 12…

Q: 12. Solving the y(t) = sen (54) - 25(u)du with y(0) = 0, we get the convolution y(t)=sen (5t)g(t)…

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Q: 12. Consider the function f, such that f and f' are continuous for t≥ 0, defined by 37t - 95 0≤t<7…

A: Also given  f'(t)=37+(4t-28)u(t-7). We find the value of b.

Q: 4. Express each of these statements using predicates, quantifiers, logical connectives, and…

A: The given statement is  "The product of two negative integer is positive."

Q: -2s +3 - 10s -7 α ~¹ { ( 6 -²5) ²5 - (+²} + 18-²²-¹ { [ ₁ - 5) ² - 07²} 2} BL-1 (s-5)²-a² (8-5)²-a²…

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Q: y=-3log10 (x-1) + 2 Parent Function y = log10x (x, y) VA Domain Range State the transformations…

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Q: 3. Find the solution of each system if they exist. If a solution does not exist, type of explain…

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Q: Solve the area bounded by y³+y²+10 = (x+1)², the lines y=−2 and y=2 *

A: The given problem is to find the area bounded by given region and between the given lines y=-2 and…

Q: now that the function Sx sin 1 F(x) == - {*-+ x2 0 (x=0) not of bounded variation on [1,1]. (240)

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Q: find the sum of the first 10 terms of geometric progression 2x,4x+14, 20x-14

A: Geometric progression: A sequence in which the next term is produced by multiplying a fixed number…

Q: 1. UTM Solve the following differential equation by using the method of undetermined coefficients…

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Q: B/ If Ø = (x³y²z) and A = 2xzi - 3y2j+ 3xy²k Find a(A) at ду дх the point (2, -1, 3)?

A: When partial derivative is done with respect a specific variable, then other variables are treated…

Q: ing pay which the customer still owes $8 t

A: (a) Find the value of A for which the customer still owes $8480 at the start of each month.

Q: A skydiver weighing 222 lbf (including equipment) falls vertically downward from an altitude of 5000…

A: a. Here we have given that skydiver weighing 222 lbf falls vertically downward from an altitude of…

Q: 2. An emergency committee consisting of 12 health's officer staffs is chosen from 10 doctors and 12…

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Q: 41. Which trigonometric function must be use to solve for the height of the kite the kite flies? 10…

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Q: aplace transform, solve the IVP. = 5y₁ - 4y2-9t² + 2t, y2 = 10y1 - 7y2 - 17t² - 2t, _0) = 3, y₂(0) =…

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Q: Newton Raphson Method determine the root of sin(x) - x/5=

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Q: 2. Using the laws of logarithms, evaluate. Show your work for full marks [ a) 31og28+ log₂64² b)…

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Q: 3. Write the exact differential: f(x,y)=e-y-el-

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Q: Find the general solution for equation y" - 2y" - 3y +10y = 0

A: y'''-2y''-3y'+10y=0

Q: Solve the differential equation (21xy + 21y²) + (7x² +21xy) y = 0 using the integrating factor u(x,…

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Q: 1) Prove the following Logical Equivalences involving Conditional Statements. a) va b) p c) pvg-p d)…

A: Introduction: Logical equivalence is equivalence of two statements. When the truth values of two…

Q: to the function. 2 Sx Bin x):= (9 bounded variation tok

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Q: a piece of a vehicle after t years is given by V = 4 s to two decimal places. value after 2 years…

A: Introduction:   To make it less hard or difficult; to make it simpler or easier To condense an…

Q: X y 2 12 3 24 4 48 5 96 6 192

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Q: 2. An emergency committee consisting of 12 health's officer staffs is chosen from 10 doctors and 12…

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Q: 2. Given vectors and with || = 8 and || = 13 and an angle of 50° between them. a) Find |ỹ - ū

A: Let us solve the given vector problem in the next step.

Q: 6. In the process of calculating given by: s-1 al + -84-1 - 1)² + a² Determine the value of B² {o…

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Q: 3. Evaluate. a) log₂ 16+ log464 b) log3(2x + 1) = 2

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Q: With your calculator, calculate the distance, given the speed and time: Use the following formulas…

A: Given data: To find:  Which continent moving the fastest? Where will it be in 100 years? Which…

Q: 2. Show that the function. 2 in 12 F(x) == x2 (x=0) is not of bounded variation on [1,1]. (x40)

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Q: Q4: Using Newton Raphson Method determine the root of sin(x) - x/5= 0, answer the following assuming…

A: Newton-Raphson method uses the formula: xn+1=xn-f(xn)f'(xn) to perform the iterations an to…

Q: All solutions approach the curve y = 2-t² ast → ∞.

A: This is the question of the differential equation.

Q: Which of the following could be a linear combination of the set {(a, b), (c,d)}? (Circle ALL that…

A: We find which of the given could be a linear combination of the set { ( a , b ) , ( c , d ) } .

Q: Solve y(4) - 25y" = 0

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Maximum rate change and value of maximum rate change

Q: Ва ut = Zuxx – ucot )=32 Т и (ч, t ) = 52 T2 heat equation Ic = 4 (xio)= 5x+2 осхи

A: First we transform the imhomogeneous boundary conditions to homogeneous boundary conditions. Then…

Q: Ва ut = Zuxx – ucot )=32 т и (ч, t ) = 52 та heat equation Ic = 4 (xio)= 5x+2 осхи

A: What is the meaning of equal sign before Ut. Ignoring this sign solve by separation of variables…

Q: Solve for x using Newton-Raphson Method: ex-x=0. Use Xo= 0 as initial guess.

A: It is a Numerical analysis problem and let us use Newton- Raphson Method to solve for x in the next…

Q: Find a differential equation that corresponds to the given Hirection field. Consider differential…

A: Here we consider all possible cases.

Q: Let f be the linear transformation represented by the matrix 2 -2 A = (2) 3 -2 Find the point (x, y)…

A: This is the question of linear transformation.

Q: 9. Find inverse Laplace: es S

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Q: The area between y = x² and y - x³ - 4x from x = 0 to x = 2 is 4.05 3 2.08 5.4 O

A: We can compute the area between the curves using the double integration method. We have to consider…

Q: 3. Considere la función e-2 sit > 5 f(t) = 2t si 0≤ t ≤ 5 To calculate {f(t)} using the definition,…

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Q: 6. Find the inverse Laplace transform of the following functions. a) F(s) = ln (5+3). UTMUT TM UTM…

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Q: 5. Use transformations to sketch the function y=-3log10 (x-1) +2.

A: We have y=-3log10x-1+2 Now, if the original function is y1=log10x, then we apply various…

Q: 1. Evaluate det 010 3 -12-3 4 0502 by cofactor expansion about a row/column of your choice.

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Q: Find the total cost of the down payment at 10% the cost of your house.   House is 170,000

A: Given cost of the house is $170,000 down payment is 10%