e synthetic division to divide the polynomials. 4x - 6x* + 56x - 237x+52x- 21 x-3

Q: n cos“(n) 2+ n3 Determine if the series converges or diverges and choose the option that describes t...

A: Using Dirichlet test.  According to guidelines we solve only first question. 

Q: a sin a + In v ) da + tan adv = 0 cos a |(In v)(sin a) = v cos a – sin a + C In v = a cot a – 1 + C(...

A: This question can be solved by applying the concept of linear differential equation.

Q: 1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person. JB...

A: We have to find the distance from fulcrum.     According to our guidelines we can solve only one que...

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A: The series is given by ∑n=1∞8n! To evaluate: The convergence of the series using the Ratio Test.

Q: dy cos(x + y), when x = 0,y = %3D dx 4

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Q: Evaluate the integral. (Use C for the constant of integration.) x-5 dx

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Q: Find the equation for the plane through Po(-6,3,7) perpendicular to the following line. x= -6+t, y 3...

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Q: Prove the identity. cosh(-x) = cosh(x) (This shows that cosh is an even function.)

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Q: Using integration by parts, the integral Sx sec(2x) tan(2x) dx is equal to: Hsec(2) -inise(20) + tan...

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Q: +00 3 E(-1)"+1, n n=1

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Q: Solve for the interval of convergence of the power series. Be sure to verify convergence or divergen...

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Q: Determine C if u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du 3 0 - 3 27 -1

A: Let's find. 

Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

A: The point of inflection is at x=12

Q: he unit circle x^2 + y^2=1 can be written in parametric form  as x=cos(θ) and y=sinθ. Find dy/dx an...

A: The parametric equation of the unit circle is: x=cosθ ; y=cosθ From the chain rule we know that, dyd...

Q: Use the disk/washer method to set up a definite integral (set up only, do not evaluate the integral)...

A: Given problem:- Use the disk/washer method to set up a definite integral (set up only, do not evalua...

Q: +00 e n Σ (x + 4)"- n! n=1

A: The given power series,       ∑n=1+∞enn!x+4n

Q: In the diagram below, figure b is the reflection of y = 2* in the line y = x. YA y = 2* y = x 3- b 2...

A: Given: - Figure b is the reflection of y=2x in the line y=x, To find: - An expression for the equat...

Q: a. Find the absolute extrema of flx) = x2 – 3x + 3 on the interval

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Q: 6x 3yx3

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Q: 4. Зx? 3x+- 8(y + 1) = 0 y+1

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Q: the integral S(x³ – 2x – 1)e-*+1dx is equal to:

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Q: Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

A: The solution is given in the next step.

Q: dy cos(x +y), when x = 0,y == dx

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Q: Find the area of the region enclosed by the graphs of the given equations by partitioning the x-axis...

A: The region is enclosed by the graphs,y=5x2, y=5x

Q: The east side slope of a hill has a slant height of 187.8 meters. If the angle of inclination of tha...

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Q: Hew.3 Find dw and Dw when P=ty 9=4if- the de it W =Xy +y2+Zu +uV and x= Pa, y=4 tan P V = P+4+1

A: Given,           w=xy+yz+zu+uv and x=pq , y=qtan-1p , z=lnq-3p , u=q+5p ,           v=p+q+1To find :...

Q: F(x) = 4-tan(x) / 1-x^2 find the derivative

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Q: Determine the number of ways of selecting one or more letters from the letters ZZzzzzZ?

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Q: Given w = xysin(z*), x=s-t, y = s°, z=t?. Use the Chain Rule to find aw - ysin z? + 4txyzcos z? aw -...

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Q: yi+ yž = 1, when x = 0, y = 4 %3D %3D

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Q: dy yz + yi = 1 when x = 0, y = 4 dx

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Q: The height (in feet) at any time t (in seconds) of a projectile thrown vertically is h(t) =-16t2 + 2...

A: We have to find the velocity when hits the ground

Q: 2. Let b, = cos and cn = cos for all n e N such that n > 2. Determine whether the given series conve...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: 1. 6(x) = e- sin a, for y' + y cos x

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Q: dx 3x2. dy ' y + 1 7(у + 1) 3 о

A: Let's find. 

Q: Problem 6. (The cross product project). The cross product for vectors in V is not associative, so so...

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Q: II. Determine whether the following sequence is convergent or divergent. Justify your answer. {I+u^ ...

A: A sequence unn∈N is said to be monotonic increasing if un'≥0 ∀n∈N A monotonic increasing sequence is...

Q: Use Newton's method to approximate a root of the equation 5x' + 4x* + 4 = 0 as follows. Let x1 = 2 b...

A: Given equation 5x7+4x4+4=0Let f(x)=5x7+4x4+4

Q: The derivative of the function y = x(tan-(3x))? is: Lan"as (1n)tan a the above the above tan"oa + (1...

A: This question is based on chain rule differentiation.

Q: 1 dy yi+ yi = 1, when x = 0, y = 4 dx

A: y12dydx+y32=1   when x=0, y=4.

Q: By completing the square, dx the integral J is equal to: (x+5)Vx2+10x+21 sec-1+c x+5| + C sec- | + t...

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Q: The table below gives U.S. lead emissions, L, into the environment in millions of metric tons for 19...

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Q: (교2 + y? + 1) dz- (2y + y)dy = 0

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Q: b. Use your calculator's TRACE function to estimate the x-values of any vertical asymptotes.

A: using trace function we have drawn the graph of the function. 

Q: 9. k(x) = 3(x- 1)-

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: The derivative of the function y = cos(x In 3) log3(sin x) is:

A: Given,            y=cosxln3log3sinxTo find : The derivative of the given function.

Q: 10. t(x) = Vx+3+4

A: Given function t(x)=x+3+4

Q: Evaluate the double integral. 7x(64 + y?) R R is the region in the first quadrant enclosed by y = x*...

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Q: Given w = xysin(z*), x- s-t, y = s°, z= t°. Find dw = xsin z ysin z O Option 1 Option 2 aw - -ysin z...

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Q: I. Write True if the statement is true. If the statement is false, explain briefly why it is so. (a)...

A: All result are true.  If nth sum of partial sum is going to zero then series is convergent.