Use the formula for the sum of a geometric series to find the sum or state that the series diverges. (Use symbolic notation and fractions where needed. Enter DNE if the series diverges.) 33 53 + ... =

Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of Alg...

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Q: ,7x+4 dx = хе

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Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should ...

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. H...

Q: Let R = [0, 12] × [0, 12]. Subdivide each side of R into m = n = 3 subintervals, and use the Midpoin...

A: The solution is given below

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A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3 fo...

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Q: For the next three questions, consider the differential equation: y" – 2y' + y = e* arctan r

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Q: A point (5, 1) on the terminal side of an angle 0 is given. Find the exact value of sec 0. 2/6 3/26 ...

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Q: Q3. Each of the following curves is expressed as y = f(x) i.e. in terms of x. However, you are asked...

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Q: (2y sin a cos x – y + 2y²e#v° )dx – (x – sin² æ – 4xye*v* )dy = 0 Let M be the coefficient of dr and...

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Q: Given the function: f(x, y) = 3x°y² – 72²y+ 5x – 4y Find the folowing: show complete solution fzy(x,...

A: Given:      fx,y=3x3y2-7x2y+5x-4y   a) fxyx,y:     fxyx,y=∂2∂y∂x=∂∂y∂∂x      fxx,y=∂∂x3x3y2-7x2y+5x-...

Q: Evaluate the following integrals: 1. fx² ln x dx

A: As per our guidelines we are supposed to answer only one question.kindly repost others question as a...

Q: 4. Given that r(t) = cos ti + sin tj + In cos tk Find the curvature k and vec- tors T, N, B at the g...

A: Find curvature at t=1

Q: 1.3 + j4 2. –3 + j4 3. –3 – j4 4. 3 - j4

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Q: V3 2 dy 1- у?

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Q: ydx+(2x+3y)dy=0 solve by using homogeneous equaations

A: We know,∫dxx=ln(x)   Given differential equation, ydx+(2x+3y)dy=0 ⇒dydx=-y2x+3y....(i)  

Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

A: Let's find. 

Q: The volume of a right circular cone of radius a and height y is given by V : ' = ma²y. Suppose that ...

A: From the given problem; The expression for the volume of the cone is: V=13πx2y And The volume of the...

Q: 3 ť'y" +7t y' +1o yoo

A: A detailed solution is given below 

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+12 Σ 00...

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Q: Using integration bby parts, uV-/v du. Txt +2x+ 2 cove for solution. dv = V =

A: According to the question, we will choose u and v to solve this question by integration by parts .

Q: 1. Complete the following tables of values to investigate lim (x2 – 2x + 4). x→1 f(x) f(x) 1.6 0.5 1...

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Q: Q2

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Q: Evaluate the expression lim, v3r+ 8. a. 2/5

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

A: point of inflection where double derivative is zero.

Q: 18. Determine the antiderivative of f(x) = 3e2"csch(e2"). a. coth(e2") + C 3 coth(e²") + C с. 2 3 3 ...

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Q: 2x 26. Evaluate / sec (= tan 5 dx and determine its particular antiderivative whose y-intercept is 2...

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Q: e) 1 Σ Vn n=1 3 f) 5 3 п-1 п 8 W

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Q: Find the volume of the solid generated when the region enclosed by y = a, x = 1 and y O is revolved ...

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Q: Find the equations of the tangent and the normal of y = 3x2-2x+1 at point (1,2).

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Q: Find a number a so that the tangent lines to y= x° + 11x +x + 13 at x = a and at x = a+ 1 are parall...

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Q: If f(x) = 9x2 - x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9...

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Q: Answer the question below: The student should find the local linear approximation of a function in t...

A: Let's find. 

Q: Answer this question please.

A: Rotation of matrix about a line through origin : Change the given point into polar form and check th...

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. (1-4) an = tan-1...

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Q: dx Evaluate V4x – x2 - A. 2 3 C. 4 D. B.

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Q: Determine the standard form of equation of a hyperbola with foci at (-1,0), (1,0) and one of its asy...

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Q: Differentiate the following functions. Show step by step solution and Indicate your final answer. y ...

A: A detailed solution is given below 

Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

Q: Answer the question below: x+y The student should find the local linear approximation of f(x, y, z) ...

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Q: Find torsion of the motion r(t) = . Leave your answer correct to two decimal places.

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Q: asider the function f(x) = e" on [0, 2), %3D

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Q: Find the points on the curve y-9x closest to the point (0, 4). ) and (O

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Q: Find the derivative of the following exponential functions: ans. y' = -4e-4x 1. y = e-4x ans. y' = x...

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Q: Estimate f′(2) for f(x)=6^x. Be sure your answer is accurate to within 0.1 of the actual value

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Q: FValua te!- D కో బాషా 2ax-x2 a

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Q: 3 V1+x³ [6] S dx > x-2

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Q: 2. Let b 1, and graph C ate- using different values for a. Explain the effect of the parameter a.

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Q: if x<1 fx -x if 1sx<2 if 15x<2 f(x) 2x if x 22 Graph the given function.

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Q: Which of the following is the general solution to the differential equation ydx – (x – Jx² + y? )dy ...

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