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Q: (The Comparison Test) Determine if the series is convergent or divergent. Give your reason. 1 Σ а. Z...

A: Determine if the series is convergent or divergent. ∑n=1∞13n+1 here an=13n+1 for the series find out...

Q: obove y=O Exampe: Find the area under the curue and to the right of - x=

A: We have to find the area in this question. 

Q: Do number 2 only

A: for finding critical point take first derivative is equal to 0

Q: From your illustration below, which point is closest to point P? Q1 , Q2 or Q3?

A: Answer is given in next step. 

Q: You are not allowed to use L'Hospital's Rule tan(3x) lim x→0 2x² + 4x

A: Given:     To determine: Value of the limit

Q: af Find of f (x, y) = sin %3D dx 1+ Y COS 1+y () Option 1 sin 1+ y 1+ y Ontion 4

A: Partial derivative of a function in several variables with respect to one variable is calculated by ...

Q: rewrite function as exponential or visa versa 74 = 124

A: Given- 74=124 To Rewrite- The above function as exponential for vice versa.

Q: Evaluate the Limit of the sequence

A: We have to evaluate the limit of the sequence an=-1nnn+1.

Q: Find the area of the region under the curve y = f(x) over the indicated interval. f(x) = e2x; x < 5 ...

A: Given, y=e2x ,  x≥5We have to evaluate area

Q: Find the area of the region under the graph of the function f on the interval [1, 4]. f(x) = 5Vx squ...

A: The function is given by fx = 5x To evaluate : The area of the region under the graph of the functio...

Q: Use the Comparison Test to determine whether the series converges. n! (n + 2)! n = 1 Identify b,, th...

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Q: Find the values of m, & k, for which the following function is continuous everywhere 2x3 + x +7 if x...

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Q: Does the sequence converge or diverge? If it converges, what doesit converge to?

A: Explanation of the answer is as follows

Q: True or False The tests for symmetry in polar coordinates are necessary,but not sufficient.

A:

Q: Find the exact value of the following expression. 7x sin sin Select the correct choice below and fil...

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Q: 8. -16x Let f(x) x2 with f' (x) 4 and (x² – 4)² - 16(3x2 + 4) (x² – 4)3 f"(x) = a. Find the x- and y...

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Q: Find the values of m, & k, for which the following function is continuous everywhere 2x3 + x +7 if x...

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Q: Use a calculator to solve the equation on the interval 0s0<2n. 10 cos 0-3= 0 What are the solutions ...

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Q: Use cylindrical coordinates to evaluate the triple integral ∫∫∫E √(x2+y2)dV, where E is the solid bo...

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Q: Use the Comparison Test to determine whether the series converges. n1.2 - 9 00 n2.3 + 9 n = 1 Identi...

A: Limit comparison test.

Q: The velocity of a particle moving in a straight line is given by  v = t(t2 + 2)4 + t. (a) Find an...

A: The velocity of the particle:                                   v(t)=t(t2+2)4+t

Q: Find the Partial derivative of f with respect to y for * 2. y² f (x, y) = x + y

A:

Q: Use the Comparison Test to determine whether the series converges. 2 an where a, 3D n(n + 3) n = 1 I...

A: we have to check convergence

Q: x – 4x + 4 3+5x² – 14X / - limx – 0

A: Given: limx→0x2-4x+4x3+5x2-14x

Q: a. Use any appropriate method to evaluate the following limit. lim (3x + 1)ot(=)

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Q: tw

A:

Q: The functions below is one-one. Find the expression of its inverse function.

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Q: Solve first 2 part

A: Consider the provided binomial expression. 2x+38 The expansion of the given binomial expansion is sh...

Q: Given the power series 2 c,(x - a)", there are only three possibilities describing the behavior of c...

A:

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: (x- 1)" The interval of convergence for the series 2 n=0 n+2 (0,2) O [0,2) O (0,2] O[-1,1) O Some ot...

A: The interval of convergence for the given series is [0,2) So the second option is true. [0,2) is the...

Q: (x+y*)dx-2x² ydy = 0

A: Given: x4+y4dx-2x3ydy=0 For finding solution of given differential equation, first we simplify it So...

Q: Find the area of the triangle determined by the points P, Q, and R. Find a unit vector perpendicular...

A: Use formula of area in vector form to calculate

Q: S tan — х) dx

A: To integrate: ∫tan(x4-x)dx Solution: Given, ∫tan(x4-x)dx On simplifying further we get: ∫tan(x4-x)dx...

Q: Find the measures of the angles of the triangle whose vertices are A = (- 3,0), B= (2.2), and C= (3....

A:

Q: final answer in terms of Pi

A: The area of the one petal of the rose is given by: A=12∫0π15r2dθ

Q: Answer #3 only FIND THE SECOND DERIVATIVE(y”) OF THE FF IN ITS SIMPLIFIED FORM

A: Given function, y=lnx2x+1x+23

Q: Sinx n to 5. Airod ht Let fix)=) Find fio) ) and f"to)

A: According to question given thatf(x)={sinxx,x≠01    ,x=0

Q: Given the ideal gas law PV = KT, where K&gt; 0 is a constant. We have the equation for V in terms of...

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Q: -4x+1 dx (x+4)(x² +1) (b) Evaluate by partial fractions: (c) Find th

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Q: Which value of 0 is NOT a solution to tan 0 = tan 0? %3D O 135° 45° 0° 180°

A: We have to find the angle

Q: . Explain how to use the differentiation part of the Fundamental Theorem of Calculus to determine th...

A: In fundamental theorem of calculus,  we need to plug the upper value of the integral for the variabl...

Q: |If f(x) = V7x + 10, find f'(x).

A: The chain of differentiation is to be used which states: d(f(g(x)))dx=d(f(x))dx×d(g(x))dx In the fun...

Q: differential equation question Determine the following statement true of false

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Q: A region is enclosed by x = y² and x = k , where k is a positive constant. What should be the value ...

A: The area enclosed by x=y2 and x=k is 36 square units.  

Q: Can yiu please do B

A: taking ln both side

Q: 8/10 = 4/

A: 810=4 To find the missing number  

Q: ∫4 / x surd (1+9x2) dx

A: We have to find the indefinite integral

Q: Evaluate the given integral using the substitution (or method) indicated. (Use C for the constant of...

A: The given question has been solved in detail

Q: Check whether the differential equation has a unique solution or not for any non-negative initial co...

A: x'= x1/2 (1+x)2