1- 8x + 72(-1) (k + 7)! k! k=2

Q: df 1 at the point x 51=f(3). Let f(x) = 5x° - 9x-3, x2 1.5. Find the value of dx df The value of at ...

A: f(x)=5x3-9x2-3, x≥1.5The value of df-1dx at the point x=51=f3

Q: 2. An electric current, when flowing in a circular coil of radius r, exerts a force kx F = (x² + r2)...

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Q: 2. Find the imit lifany) メー5 X-25 lim X25

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Q: Consider the curve y = V 2x – x² where 0 < x < 2. -

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: In this sequence, we will get the succeeding term by multiplying 1/17 to the preceding term. Such ty...

Q: general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor eq...

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Q: Find each limit in Problems 37-60. Note that L'Hôpital 's rule does not apply to every problem, and ...

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Q: What is the value of? df (0), dx xez²+1 ? where f(x) = 1+e-* Write your answer as an integer or as a...

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Q: Practice: Find the volume of the solids generated by rotating the area bounded with the given functi...

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Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17, 31...

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Q: Q1) Evaluate the following integral using By Parts Method: х.In(x3 + x) dx

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Q: 23) Find the limit for the following function by using L'Hopital's Rule: x². e* lim x→0 tan² x

A: limx→0x2extan2x

Q: Find the radius of convergence and the interval of convergence. 2* k=0

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Q: uestion 1| a) Evaluate the average rate of change for each function over the given interval: i. f(x)...

A: We are authorized to answer one question at a time, since you have not mentioned which question you ...

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. 00 5+ 2"...

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the giv...

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Q: Give the domain of t(x) = V-1- x in interval notation. (-0,1) Hint: Remember that, when we are worki...

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Q: Given A=3az +3ax -2ay, B=2ay -ax +5az, C=3ax +2az +2ay and D=-ay +3ax -2az. Find scalars a, b and c ...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = T0 and then find the nth Taylo...

A: The given function 5x; x0=-1

Q: 3 1) -1 5 ).8-(6 If A = 2 -6 0 1 3. Find 3A - 4B

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Q: When the linear differential equation is multiplied by an integrating factor the equation will becom...

A: Answer of given question is written in below steps.

Q: Obtain the general and particular solution 1. 2ydx = 3xdy, when x= 2, y = 1.

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Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Q: A monopolist produces two goods as follows: p= 11-0.5x, q = 51- 0.5y where p and q are prices per un...

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Q: A set of data with a correlation coefficient of -0.15 has a a) strong negative linear correlation c)...

A: As we know It is a statistical measure of the strength of the relationship between the relative move...

Q: Determine whether the series converges or diverges. In(k) k k = 1 converges diverges

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Q: Graph the following function. Then estimate any relative extrema. (x) = x° (2 - 3x)3 Choose the corr...

A: Given that fx=x2 2-3x3Solution if we have to find relative extremum then f'x=0 and solve . if f'x +v...

Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges. I...

A: In this question we have to find the value of the series and whether the series is converges of dive...

Q: Where:(25 degrees)

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Q: a. When the observer initially spots the ship, the angle of depression for the observer's vision is ...

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Q: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

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Q: Find the Taylor polynomials of orders n = 0, 1,2, 3, and 4 about x = xo and then find the nth Taylor...

A: Let's find. 

Q: 4 + sin(n) n2 00

A: The given series,         ∑n=1∞4+sin(n)n2

Q: The roller coaster rides at Math Games are all shaped like trigonometric functions. Dan goes on the ...

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Q: Please answer the last 3

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Q: I'm currently not understanding how you would do this problem.

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Q: -1)k+12 11 17.-(6k – 7) Use the formula for the binomial series: (1+ x)" = m(m-1)2 t … + m(m-1)(m-k+...

A: Here, the given function is: f(x)=1+66 And, the given binomial expansion is: (1+x)m=1+mx+m(m-1)2!x2+...

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. cos(0) – sec(0) s...

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Q: 3 Find the average rate of change of g(x) = 8x² + on the interval [-3,2] x3

A: topic -   average

Q: Use logarithmic differentiation to find the derivative of y with respect to the given independent va...

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

Q: For f(x)=√(x^2+2) find all the values of c on the interval [0, 1] that satisfy the Mean Value Theore...

A: Given query is to apply mean value of theorem and find value of c 

Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

Q: 4. The standard form of the first order linear differential equation x'y'+xy + 2 = 0 is

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Q: An+1 -to determine if the sequence is strictly increasing or strictly decreasing. Use the ratio 1 5n...

A:   The given series is n5n+7n=1∞ Let the sequence  an=n5n+7. Now, an+1=n+15n+1+7.  

Q: Let the height of an object bef(t)=t2+2t−4f(t)=t2+2t−4. What is the instantaneous rate of change of...

A: Given query is to find instantaneous rate of change of the object at t = 2.

Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

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Q: Suppose an object in circular orbit stops in a 3 -. The terminal point is 11 position where sin(0) l...

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Q: Sketch the graph of y =x-3. S1N

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Q: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt. W...

A: assume that an airplane is flying toward you at a constant height, h miles, and at a speed dx/dt. Wh...

Q: Find the derivative of the function. f(t) = 8r2/3 - 4t/3 + 8 f (t)=

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