Find the sum of 1, -1/2, 1/4, .... ∞. a. 3/4 b. 2/3 c. 1/7 d. 1/2

Q: Obtain the solution using Integrating Factors Found by Inspection. 1. ydx + 2(y* – x)dy = 0

A: As per our guidelines we can answer only 1 question. So kindly repost the remaining questions specif...

Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product alon...

A: We can find the dot product and other required answers as below.

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A: Solving the problem by finding the dy/dx of the given expression.

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Q: Solve y" – 2y' + y = 0; y(1) = y'(1) = 0

A: To solve the given differential equation.

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Q: Hew-2 Find the directionat derivative of the funCtion X+XCos7-y Sinz +yat the faint Pe (2,=ly0 towar...

A: Answer is following-

Q: Evaluate the integral. dx J x4+7 Inx) A In 14+7 In x| +C B In 14+7 In x| +C © O In +C |7+4 In x| D I...

A: On solving this we will get:- option (D) is correct

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A: If and then statement

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Q: For the following geometric sequence find the recursive formula and the 6th term in the sequence. {...

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Q: Find the derivative of the inverse trigonometric function * cos' x B. y' =; C. y' = 3x2 A. y'=: V1-x...

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple questio...

Q: 2 ア=x,y=2r

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Q: Use the compound interest formula to determine the accumulated balance after the stated period. $500...

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Q: Find a polynomial of degree 3 that has a maximum at the point (0,7) and a minimum at the point (2,−3...

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Q: The radius of a spherical balloon is increasing at the rate of 0.7 cm/minute. How fast is the volume...

A: We have to determine volumes of sphere changing rate

Q: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

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Q: Determine the line tangent to y = sin x that is parallel to 2x – 4y = 8.

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Q: Find the area of the surface generated by eY + e -y revolving the curve x - in the interval - In 5 O...

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Q: Question Determine the ratio in the geometric series below. 27 + 4 243 +... 16 9 81 3+ 8 Sorry, that...

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Q: (b) True or False: If E=1 an is divergent, then E=1|an| is also divergen

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Q: 4. f(r, y) = + y + xy,find fay and fyz

A: Solve the following

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Q: Use differentials and the graph of f to approximate the following. (Round your answers to three deci...

A: From the given graph, we find the values f(1.8) and f(2.08)

Q: A privately owned lake contains two types of game fish, bass and trout. The owner provides two types...

A: We have to solve for no. Of maximum fish . 

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Q: 4 sec?x dx 2. tan?x+2tanx+5

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Q: dx for 4xy - 5x + 2y3 = - 42, with the conditions dt = - 6, x=2, y= - 2. dt Assume x and y are funct...

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Q: 4. S sec*(8)dx

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Q: Find the general solution of the second order differential equation below: dx d) dt2 + 6x = 0 dt

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Q: Compute for the dot product between the following pairs of vectors. Also, using the dot product alon...

A: As we know that; The expression for the angle between the two vectors is: θ=cos-1u→·v→u→v→   The giv...

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: Consider the graph of fshown below. Use the graph to determine the following. If a quantity does not...

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Q: Derivative of f(x)= 4x/5x^2-1

A: We can find the derivative as below.

Q: Determine if the series is absolutely convergent, conditionally convergent, or divergent. Vn (a) (-1...

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Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some tim...

A: topic - mean value theorem

Q: Sx² – 1, (2x + 1, 3 < x < 10 x< 0 Evaluate lim f(x) if f(x) = x→3

A: Since left and right limit at x =3 not equal then we say that limit does not exist at x=3

Q: fV5+ 4x – x² dx

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Q: Find the total value TV of the given income stream and also find its present value PV (at the beginn...

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Q: 2х — а, х < -3 Find the values of a and b so that lim f(x) and limf(x) both exist given: f(x) = {ax ...

A: The objective of the question is determine the value of a and b for which limits exist.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: This question is based on 3d line equation.

Q: Consider the integral 5x dx. (a) Which of the following statements best describe the given integral?...

A: The given improper integral is: ∫-∞-1xe5xdx

Q: cos-1(2 x2)

A:

Q: ,In sec²(sin2y)dy can be evaluated by writing it as sec2y ! / sec²( sin2y) - 2 cos2ydy S. | sec2( si...

A: To simplify the given integral.

Q: The sum of the matrices below gives a (3 7 21 10 0 and О Зх3 matrix O 3x 2 matrix O 2x3 matrix O 2x ...

A: Given: One matrix is of 3x3 and one is of 2x2. So, the sum of the above two matrices is not possibl...

Q: Solve using logarithmic differentiation.

A: We need to find differentiation.