Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe + 2z - cos(xy)+ e - ln2 = 4, A(ln2, 0)

Q: If dy dx x= y sec² x and y = 5 when x = 0, then y = ? - A. etanx + 5 C. 5etanx B. tan x + 5ex D.…

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Q: pose that the function f is continuous everywhere. Suppose that F is any antiderivative of f, and…

A: In this question, the concept of Integral is applied. Integration Integration is a method of…

Q: value of the determinant:

A: Given,            A=342-1-3-2231-112-103-123102320-2

Q: 3. Can a plane intersect two planes that are not parallel so that the inter- sections are parallel?…

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Q: Question # An investment of $25,000 in new equipment will generate income of S7000 per year for 3…

A: Given that, An initial investment in new equipment =$ 25,000. Annual Revenues =$ 7,000 and the…

Q: Suppose A is an invertible symmetric matrix. Then the inverse of A is also symmetric. (A) True B…

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Q: dy/dt = (1 + 4t) sq rt y Solve the problem (a) ANALYTICALLY (b) EULER'S METHOD (c) HEUN'S METHOD…

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Q: H and 0 as an eigenvalue Is your matrix invertible? Is it orthogonally diagonalisable? 1. Find a…

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

Q: Find the inverse Laplace of (3s/ s^2 −4)

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Q: The points (P,Q) lie on the porabola y=x²+2x -3 a. find the slope of the secant PQ b. Graph the…

A: The given porabola is y=x²+2x -3, Let PQ be any point that lies on this parabola. a. To Find: The…

Q: Let R be the region bounded by the graphs of y = r-1, y = 1-2³ and the lines y = 3 and r= -1 as…

A: The given curves are y=x-1, y=1-x3 and lines y=3 and x=-1. To find: (1) define integral for the area…

Q: (t + 1)(t2 + 2t – 5)³dt

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Q: Selve du 4824 8.

A: Given heat equation, ∂u∂t=4∂2u ∂x2u(0,t)=0u(8,t)=0u(x,0)=4x-12x2=f(x,y)  Here length l=8 and c2=4

Q: a. Find the nth-order Taylor polynomials of the given function centered at the given point a, for n…

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Q: find the integral of the tunction fix y1= the region between the twe ciriles af aver rading 2 and…

A: Find the integral of the function fx, y=1x2+y23 over the region between the circles of radius 2 and…

Q: Given finite field GF(16), can you perform arithmetic operations on the elements of the field as…

A: Elements of GF(16) are 0,1,2,.......,14,15. Since for modulo 16 we can have remainders from 0 to 15…

Q: What is the solution of the DE: x²dy + y²dx = 0? A. x+y = cxy C. -=c x y B. D. None of A, B, or C -…

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Q: In any trapezoid, the sum of the squares on the diagonals is equal to the sum of the squares on the…

A: Solution:- Below is the trapezium through which finding solution would be easier:

Q: If A and B are inverse of each other, the determinant of AB is

A: Solution :  Given that  A and B are inverse of each other

Q: is the find the areas of the other regular polygons listed on the chart, (Show your work) and then…

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Q: =[12] and U- = -[] Then A2017U is equal to -1 Let A =

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Q: 11. Given the characteristic equation of the matrix A: 2² (21)(2-4)³ = 0. A. Determine the order of…

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Q: In Problems 1-5, let R be the region bounded by y = x² + 3, y = 2x, x = 0, and x = 4. Each problem…

A: Given: Region bounded by R To find: Integration of volume of the solid

Q: A company produces a special new type of TV. The company has fixed costs of $474,000, and it costs…

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Q: Suppose A is a 10x10 invertible matrix. Then A is row equivalent to the 10x10 identity matrix. A)…

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Q: 4 -1 Let A be the matrix A = 2 1 1 250 1 1 50 If we express A 1 as then find a, b, and A. O 50 a b O…

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Q: Consider the following system of differential equations +22+1=0, dy - 4y = 0. dt a) Write the system…

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Q: 3. The vertical trapezoid plate shown is below is the end plate of a trough full of water. Write but…

A: We will find force on a horizontal slice of plate and then use integration to find total force on…

Q: Consider the following integral: Note: answers are to be entered to four significant figures. a)…

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Q: 3. Given g(x) = -4 sin () - 1, a) Determine the amplitude. c) Write the equation of the midline. b)…

A: Note: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Simplify  y-7

A: The given expression is: y-7 The negative exponent a-n can be expressed as 1an. Hence, the given…

Q: The integral fo 3/1 – 4x²dx is to be evaluated directly and using a series approximation. (Give all…

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Q: 9. When can a square matrix be diagonalized? When can a square matrix be diagonalized orthogonally?

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Q: Population The tablé shóws the U.S. populations for the years 1970, 1980, 1990, and 2000. (Source:…

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Q: The area of region enclosed by the curves y=x2 - 11 and y= - x2 + 11 ( that is the shaded area in…

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Q: Consider the function y = 4x + 3 between the limits of x = O and x = 7. а) Find the arclength L of…

A: We will use the following formulas to solve the both parts arc length of y=f(x) between x=a and a=b…

Q: Determine the laplace transform of f(t) = sin8t sin 6t

A: We find the Laplace transform of  f(t)=sin(8t)sin(6t).

Q: Putting V(x) = e¯*U(e*) show that 1 lim sup | V(x)| = lim sup |V(s)|ds. x00

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Q: -a b C Evaluate-2a +4x 2b-4y 2c +42 -Y 2 8

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Q: The below table will show Q, the quantity of carbon-14 (in micrograms, μg) in a 200 μg sample…

A: (a) For a linear model there is a constant slope, that is we know the equation of a line is y =…

Q: 2. Let . t, t3, , be vectors such that t E span{t, , ta} then span(r, 2, a, a) = span{t, , } %3D

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Q: Given a differential equation x³y3) – 6xy' + 12y = 0 Suppose we have r,r2, . , rn, Find the distinct…

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Q: 2. For all equations e, if e is quadratic, then e has at most two real solutions. Which of the…

A: Note: As per company guidelines we are supposed to solve 1 question. So, kindly repost other…

Q: A B D -1 168 0 - 168 4 Evaluate 6 7 8 12 12 18 14 21

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Q: Suppose that f(x) € C(0, 0) is positive, logarithmically convex and satis- fies the functional…

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Q: 3 8x° + 6x + 2 Plotting: y = 3x* 4 -2 2

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Q: Solve the problem with the application of integral and draw the complete figure of the problem.…

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Q: Consider a 20x20 invertible matrix A whose determinant is 2. Let B be the matrix obtained from A by…

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Q: Use Green's Theorem to calculate the work done by the force F on a particle that is moving…

A: Given ,                                                                             F(x,y) =…

Q: 2. Find the volume of solid generated by revolving the area bounded by: y=x² +1, x=0, y=0 and x=2…

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