(3 . The general solution for x' 1 5 x is: -1 -2t a) "]e le+C2 -2t b) x(t)= q|, te2t c) x(1) = q,e+c;| GI 5 +C2 -2t 5 d) 1

Q: Sketch the vector v = -5j as a position vector and find its magnitude.

A: Given, v=-5jorv=0i-5j

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A:

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A: First we have to simply the given expression.

Q: 10:07 M A N{ ll 89% È assignment 5.pdf Exercise: Determine the following ODES. (2xy)dx + 2y? dy = 0,...

A: Hello. Since your question has multiple parts, we will solve the first two parts for you. If you wan...

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A: We see that, [sqrt(3)/2 - 0]^2 +[(1/2) - 0]^2 = 3/4 + 1/4 = 1 [-sqrt(2)/2 - 0]^2 + [sqrt(2)/2 - 0]^2...

Q: answer all parts

A: Since we know that formula  Rn for the function f(x) on the interval a,b is given by Rn=∆x·∑i=1nf(xi...

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A:

Q: Let b be a constant. The indefinite integral F(x)= Arab dx usenba

A: Indefinite integral of F(x)  b is constant   

Q: Evaluate the given binomial coefficient

A: Given: 121

Q: Solve quadratic equation by factoring. x2 = -11x - 10

A:

Q: col.) Solve the noninear inequallty 73

A:

Q: Evaluate the definite integral. Use a graphing utility to verify your result

A:   Evaluate the definite integral. Use a graphing utility to verify your result  

Q: Solve the right triangle with A = 22.3°, c = 10 shown in the figure. Round lengths to two decimal pl...

A: Consider the provided information, A=22.3°,c=10 Find the lengths to two decimal places.    

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A: The given function is fx=1+x. The derivative of the function is, f'x=1. At point a = 8.1, f8.1=1+8.1...

Q: 66 divided by 975

A: We have to 66 divided by 975  i.e  66/975   

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A: Consider the given cost and the revenue functions. C(x)=3x Rx=8x-0.001x2 Profit is the difference be...

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A: Given: fx=2x-1  and gx=x2+x-2

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A:

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for succes...

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Q: ST,2xyz dxdydz

A: Consider the given: ∫01∫x2x∫0y2xyzdxdydz=2∫01∫x2xx220yyzdydz=2∫01∫x2xy22−0yzdydz=∫01∫x2xy3zdydz=∫01y...

Q: According to the Michaelis–Menten equation, when an enzyme is combined with a substrate of concentra...

A: Consider the following equation: Rs=AsK+s Consider the part (a): lims→∞Rs=lims→∞AsK+s=lims→∞AssK+ss=...

Q: Find the particular solution of each problem, show the works.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for y...

Q: Calculate dy/dx Simplify y=3x-5/2x+4 dy/dx=

A: Solving by derivative we have

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A: We have f(x, y)=x2 + y2 and g(x, y)=x2 - y2 By finding the partial derivatives fx=2x, fy=2y, gx=2x, ...

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A: (ii) ∫sin2x1 + cos x dx Let I = ∫sin2x1 + cos x dx I=∫sin2x1 + cos x ×1- cosx1 - cosx dxI=∫sin2x (1 ...

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A:

Q: find the x and y intercepts of the graph of the equation. y=2x-3

A: The equation of line  y = 2x - 3

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A: Given that, u = cos-1 (1/5) Then we get, cos u = 1/5  

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A:

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A: 1)  When the point starts rotation along the circumference of a unit circle from the point 1,0 and t...

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Q: I need solution ASAP.

A:

Fundamentals of Trigonometric Identities

Trigonometric Identities are the equalities that involve trigonometry functions and hold for all the values of variables given in the equation.