In?(x) 25 log (x)

Q: Find the derivative of the function. f(x) = V9 - 3x2 %D f'(x) %3D

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Q: MY NOTES ASK YOUR TEACHER Verify that the indicated function is an explicit solution of the given di...

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Q: dy ay +b who dt Write down a differential equation of the form solutions all approach y 3 as t → 4 3...

A: We will find the Differential equation. 

Q: Question A ball is launched vertically upward with a velocity of 192 ft/s, so its position function ...

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Q: The following formula gives the probability of being dealt a full house (three cards of one kind and...

A: topic- permutation and combination

Q: Question Let f(x) = 5 - 3. Calculate the arc length of the graph of æ = g(y) over the interval æ 2 t...

A: Given that fx=x5-3 To find : Arc length of graph x=gy  over the interval x=2 and x=5Solution :fx=x5-...

Q: Determine f(x) so that cos(In?x) f(x) dx = sin (In?x) + c 2 In x A 2 In x 2 In x D

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Q: Estimate Ay using differentials for the given function and the given values of a and dr 2/3 y =xe-, ...

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Q: Given the following system of differential equations dx = 4x + Oy – 9z dt dy = Or dt Тy + 31z dz = -...

A: When -R term introduce to the diagnonal entries.

Q: Find the volume V of the solid obtained by rotating the region bounded by y = sin(x?) and the x-axis...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

A: r = radius of circle a = length of each side of equilateral triangle  

Q: Use the formula for the sum of a geometric series to find the sum. (Use symbolic notation and fracti...

A: The given series,       ∑n=2∞7. -3n5n

Q: Find the volume of the solid formed by rotating the region inside the first quadrant enclosed by y =...

A: Given: y=x4 and y=27x

Q: dX; = X;(ydX, + tdt), d Хо 3D 1.

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Q: The demand functions for two products are given below. p1, p2, q1, and q2 are the prices (in dollars...

A: Given that - The demand functions for two products are given below. p1, p2, q1, and q2 are the price...

Q: A Bifolium is the family of curves given by (x +y)* = kx²y, where k is a real number constant. %3D a...

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Q: Find the Taylor polynomials of orders n= 0, 1,2, 3 , and 4 about =20 and then find the nth Taylor po...

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Q: cot 2x Evaluate the integral dx . V cor²(2x) – 15 csc (2x) A ·Arcsec 8 + C 4 -- In |cot (2x) + Vcot²...

A: The given integral is: ∫cot(2x)cot2(2x)-15dx Substitute cot2(2x)-15=t          ....(1) Fromm the tri...

Q: Find the radius of convergence and the interval of convergence. (x – 3)* 2k 00 k=0 1)

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Q: ) Graph the curve Y = x (x +5)(x -3) between the value of x [-5, 3], then find the area of the finit...

A: Area under the curve =∫ab(upper curve -lower curve)dx  

Q: Operations Find the derivative of the function. Functions y = x?V25 - x2 Symbols Relations Sets Va o...

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Q: Express the repeating decimal as a fraction. 0.904818181818... 0.904818181818... %3D

A: The given expression is 0.904818181818....

Q: Sec+x Evaluate the following integral: J1-tan²x dx

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Q: Given the matrix -4 -4 2 Introduce the "- R"term to the diagonal of the matrix then find the quadrat...

A: Please see the below picture for detailed solution. 

Q: 10. y'+y = 3x³ + x; y(-1) = 4 су 3 3х3 + х; у(-1) %3D4

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: n (a) Express lim as a definite integral. i=1

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Q: sin(ln x) r→0+ In(sin x) Use Squeeze Theorem to evaluate lim

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Q: Complete the following statements. Let P- be the inverse function of P. Take x to be an output of th...

A: We will find the inverse function  

Q: A wooden artifact from an ancient tomb contains 50 percent of the carbon-14 that is present in livin...

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Q: 5 5 -2 6 det -1 0 10 = 47 -3 5 5 -2 6 det-1 0 10 = - 165 7 -3 5 5 -2 6 O det -1 0 10 = 0 7 -3 5

A: Given query is to find the determinant of the matrix.

Q: A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 16 cosh ) - 11,...

A: a) The given equation is y=16coshx16-11. Obtain the slope of the curve as follows: Differentiate the...

Q: (a) Write one of the four vectors as a linear combination of some or all of the others. (b) Find a l...

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Q: Find the radius of convergence and the interval of convergence. k +2 Radius of convergence: Interval...

A: We will use lebnits s test for convergence of alternative series. Comparison test for convergence of...

Q: 4. Using the graphing strategy discussed in class, sketch a graph of the function 1 f (x) = (x – 4)/...

A: 4. Using the graphing strategy discussed in class, sketch a graph of the function f(x) = (x − 4) 9/5...

Q: Find all critical points of the function f(x)=5x5-2r and use the First Derivative Test to find local...

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Q: please do both

A: We have to find out the reason

Q: F(x) = (-1)". n3n n=1

A: Given series ∑n=1∞(-1)nxnn3n

Q: Consider the relationship 7r+4t=21.   a. Write the relationship as a function r=f(t).   Enter th...

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Q: In Exercises 15-22, find the inverse of each elementary matrix. 15. 16. 1 0 0 O 0 17 17. -2 0. 18. 1...

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Q: A. Let a(x) = x + 2 and d(x) = vx+5, find: 1. (d a)(x) 2. (d a)(2)

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Q: 1 1 1 2 4' 8' 16 32 ' 64' 128 1 1 1 The sequence {1, } а. converges to negative one. O b. diverges C...

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Q: The integrating factor for the differential equation dy X- dx 4x cos(x)y = –5e* is e-4 sin(x) Select...

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Q: fourth-degree polynomial with integer coefficients that has zeros 3i and –1, wit -1 a zero of multip...

A: To find a fourth‐degree polynomial with integer coefficients that has zeros 3i and -1, -1 a zero of ...

Q: (a) / Зх — 2 d.x x +1 -

A: We can evaluate the following integral as follows 

Q: Sond equation of tongend e to graph o Suneten at given pt aNc cos X

A: Topic = Function

Q: r(5 – 2 In |In|3x|) x In |3x| Given: dx.what is an appropriate formula? (A © -2 fu du © -Jua (B O 2 ...

A: Topic:- integration by substitution   

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: Test the continuity of the function f(x): 3 – x X +1 2< x <3 3 < X < 4 X = 4 F(x) = 2х — 1

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Q: Find the derivative of the function. Q(x) = V ex + x Q'(x) = %3D

A: