what relationship should be present between two vectors for the law of cosines and sines to be used in their addition? b. what relationship should be present between two vectors for the pythagorean theorem and soh cah toa to be used in their addition?

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A: We have to apply substitution to solve the problem After substitution we have to integrate

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A:

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A: The given system of equations,4x-12y+7z=10x-4y+2z=4-4x+11y-7z=-6

Q: 8. (e* + y)dx + ( 2+ x + ye' )dy =0

A: Given:- (ex +y) dx +(2+x+yey ) dy=0 To find:- General solution for given differential equation

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A:

Q: 5. (4x'y- 15х? - у )ӑx +x* +3у - х)dy-0

A: Differential Equation is              4x3y-15x2-ydx+x4+3y2-xdy      It is of the form Mdx+Ndy=0     ...

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Q: 3. USE ROW -REDUCTION AND COFACTOR EXPANSION TO EVALUATE THE DETERMINANT: 4 2 = 141 4 -O U5 403

A:

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A: Given query is to find the correct statement for the situation.

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A: NOTE: Refresh your page if you can't see any equations. . take integration  ...............(1) at ...

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A: Solution is written in below steps.

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A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 2 -16x dy (a) find (b) find the slope of the tangent at x=4 (c) equation of the tangent at x=4. 2.3 ...

A:

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A: Use unitary method.

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A: use the definition of each terms to evaluate whether it is true or false

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A: The solution are next step

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Q: Find f'(x) for the function. 6x3 - 2x + 1 f(x) x2 "(x)

A: Given query is to find the derivative of the function.

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A:

Q: COS Cos 3x dx CoS

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

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A: use the tangent plane to estimate the value of √(4.8x5.02)

Q: Write the function g(x) in terms of the function f(x). O al r) - -3 f(r)+?

A: Given, Functions f(x) and g(x) From the graph, f(-2)= 0 g(-2)= -2

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A:

Q: 2 91 If A = 1+y 4 0 and B = 5 3 31 [0 2 91 40 find the values of x, y. l2 3 3] x2 2

A: We have to find X , Y values  

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A:

Q: Find the antiderivative of the integrand 49 dx. (A) 49* + C In 7 49* + C In 2 B C) + C 2 In 7 72x + ...

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Q: 4. (8 points) Find a vector parametrization for the intersection of the plane x +y+z = 3 and the cyl...

A: Use polar coordinates for Parameterization

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A:

Q: (c dx Since y=x?e-6x2 has a vertical asymptote at x=0, the integral is improper. Since y=x?e-6x2 has...

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Q: Determine the solution to the initial value differential equation y'+ 3 y = 4 x y(0) = 3 y (x)=

A: First order differential equation : Consider the first order differential equations                 ...

Q: Prove by the principle of mathematical induction that 3n2 + 3n + 1 < 2n for n ≥ 8

A:

Q: Suppose 3x2 – 3x + 8 - f(x) : x (x2 + 4) Then A f(x) Bx + C | x² + 4 where A = and B %3D , and C =

A:

Q: 7. (1+x*)dy + x(1+ 4y®)dx =0

A:

Q: 49 -dx Find the antiderivative of 7* + C 2 In 7 A 7* + C In 7 (B 2 In 7 + C In 7 + C 7* D

A: topic - indefinite integral

Q: If (0) d0=–sin20 + C , then f (0) =-cos20. 2 2 A True B False

A:

Q: given

A: We will solve the integration. 

Q: Suppose that your first guess with Newton's method is lucky, in the sense that x, is a root of f(x) ...

A: Option (B) is correct answer i.e. x1 and later approximations will be equal to x0

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A:

Q: Determine whether the integral is converget or divergent. If it is ca (x-4)3/2 The integral is (conv...

A:

Q: Find two positive numbers with product 361 and whose sum is a minimum. Enter your answers in increas...

A: To find, two positive numbers.

Q: Determine the equation of the circle with radius 3 and centre (3,−4)

A:

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A: The solution are next step

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A: We have to find the value of x and y

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A:

Q: The accompanying graph shows the hypothetical cost c= f(x) of manufacturing x items. At approximatel...

A: Solution ) cost  c = f(x) Marginal cost = d c/ dx                            = f'(x) Change in margi...

Q: dx so that the resulting integral is integrable? - cos x What should be the rewrite of 1-. (A (sec?x...

A: inverse

Q: S3cos³x - 1- sin?x To evaluate (x, the integrand can be transformed to A S(3cos?x + csc?x) dx B) 8 3...

A: The given integral,        ∫3cos3x-11-sin2xdx