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Q: The Maclaurin series of the function f(x) = 6z tan-(9z) %3D can be written as f(2) = Cnz" n=0 where ...

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Q: 3. The ratio of two numbers is 2:5. If one number is 3 more than twice of the other number, what are...

A: We have given that  The ratio of two numbers is 2:5 Let the two numbers be 2x and 5x. We have also g...

Q: Find all the first order partial derivatives for the following function. f(x, y) %3D хуе "У af dy af...

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Q: V3, 3 2/3; + 8; i - k 4 1 83B k

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Q: 4. The figure represents a rectangular parallelepiped; AD = 20 in, AB = 10 in, AE = 15 in. (a) Find ...

A: Find your answer below 

Q: Using the power series method, find the first five non-zero terms of the solution for the following ...

A:  Consider the solution of the function to be yx=∑n=0∞an·xn. Now, differentiate it with respect to x,...

Q: 6. Determine the x-value(s) of the point(s) on the graph of f (x) = 3x³ – 11x – 2 where the tangent ...

A:  The function f(x)=3x3-11x-2 where the tangent line is parallel to the line 10x-2y-18=0

Q: Principal Compounded semiannually The principal represents an amount of money deposited in a savings...

A: Given table:- Principal Rate compounded  Time $ 6000 8℅ semiannually 5 years   To find:- The...

Q: Given f(x,y) = x3y-3xy³. Evaluate fdy O 14y-27y + C 6. O -6y³ +8y/3+ C бх2 - O 6x2 – 45x + C 4 2x2 –...

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Q: 2 (1+ 9x)* (1+3) dx 3/7

A: Solving the problem by finding the value of the integration.

Q: Given f (x) = sin x and g (x) = cos x, show that f (g (5)) = 0. Show all your %3| steps.

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Q: 2. A toy rocket is launched from a table 2 feet above the ground. The height of the rocket above the...

A: I am attaching image so that you understand each and every step.

Q: dx x-1

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Q: . A post 20 meters long stands vertically in a horizontal plane. Another post stands vertically on t...

A: The given problem is solved below in detail.

Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: Explain if the function is continuous or not for the given number a. if x > 1 f(x) = {1 if x = 1 ,a=...

A: topic - limits and continuity

Q: Find the indefinite integral. sin 66 V cos 60 d

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Q: of the function at x=c. The second derivative of the function y=f(x) at the point x=c is characteriz...

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Q: If r(5)=0, then which of following must be true? Olimf(x)=0 x+5 f(x)-f(5) -o lim x-5 X-5 fis continu...

A: Here we have given that  f'(5) = 0 We have to find which option is correct.

Q: Question 18 tan(2x) Evaluate: lim x+o 2sin2(x) O a. 0 O b.-1 O C. 00 O d.-00

A: Given query is to find indicated limit.

Q: Find ((dy)/(dx)) if y is a differentiable function of x and x^5+3y^4=x^5 tan y + 10

A: Given

Q: Graph the integrand and use known area formulas to evaluate the integral: dx

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Q: Consider the series 00 (x – 6)6 + 4. 3! (x – 6)8 + 8.4! (x – 6)4 Σ а, 3 (х — 6)2 + + 2· 2! n=no Find...

A: N0=1 to infinity in summation  

Q: Find the general solution of the following ordinary differential equation: d²y -6 = -9y+ 7e3* + 7 dx...

A: We have              y'' -6y' =-9y+7e3x+7⇒y'' -6y' +9y=7e3x+7 Here, the characteristic equation is m...

Q: 5 tet dt.

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Q: /rite an inequality with x isolated on the left side that is equivalent to the given inequality. Bx ...

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Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 - ...

A: Let's find. 

Q: 5 2x + 4

A: Given that a function f(x)= 5/(2x5 + 4). We find first , second,and third derivative of this functio...

Q: For the given function f(x,y)=x2y3+3x³y, find a flax 2xy³+9x² y 3x3y2+3x3 6xy²+9x2 O 2+18xy

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Q: termine the critical points of the function f(x,y)=-2xy + y –x'. fter olessifir uhother 2ngh orition...

A: Please refer to the image below 

Q: The tangent line to y = f(x) at (-1,-8) passes through the point (-7,5). Compute the following a.) f...

A: The tangent line to y=f(x) at (-1,-8) passes through the point (-7,5) 

Q: (2 In sin x)3 15. S tan x

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Q: Approximate the area below the curve y = (x) from x = 1 to x = 3 by using 5 right endpoints rectangl...

A: Given:   Curve y=12x2            y=x22  From x=1 to x=3 Area using 5 right endpoints rectangles:  ∫a...

Q: YOUR TURN 2 Estimate the age of a sample with 1/10 the amount of carbon-14 as a live sample. 2. 18,6...

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 1 y = ‍   Graph the s...

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Q: Directions: Evaluate the following. Show ALL necessary solutions. x³+2x²-1 1. lim x--2 5-3x 2. lim v...

A: In this question we have to find the limits. Note: As per our policy we are suppose to do only 1st t...

Q: In the quadratic equation Ax2+ Bx + C=0; describe the roots when 32 _ 4AC is positive. The roots are...

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Q: C. Find i '(t). 1. ř (t) =

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Q: Periodic Deposit $? at the end of each year Financial Goal $160,000 Rate Time 15 years |5% compounde...

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Q: A given partial fraction 2x A B Cx +D (x- 1)(x+ 4)(x²+ 1) + X+4 X-a x² +1 B can be evaluated as: O 8...

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Q: Consider the function defined by f(x) = In(2a +1). %3D 1. Determine its Maclaurin series expansion. ...

A: Given that the function is fx=ln2x+1. 1) It is required to find the Maclaurin series of fx=ln2x+1. I...

Q: DETAILS LARCALC11M 9.6.044.MI. Use the Root Test to determine the convergence or divergence of the s...

A: Let's find. 

Q: S sin(3x + 2) cos(1 – 4x)dx

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Q: What is the derivative of y = 34? a. y (4)(3**) b. y = 4x3 c. y = (4)(3*) In(3) d. y' = In(4x) + 34*...

A: We can answer all three subparts as below.

Q: Set-up (Do not solve!) the volume of the solid whose base is bounded by the graphs of y = x + 1 and ...

A: First we need to sketch the graph of y = x+1 and y = x2-1

Q: Write a chain rule formula for the following derivative. dw for w = f(x, y, z); x = g(r, s, t), y = ...

A: Given w=f(x,y,z) x=g(r,s,t) y=h(r,s,t) z=k(r,s,t)  

Q: Entering PIN code from the ATM account. Combination Permutation

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Q: %3D %3D Find the area of the region enclosed by y = 4e", y 9e- and x = 0. 7. 5- 2- 1+ 0.1 0.2 0.3 0....

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Q: Determine the convergence or divergence of the series. (If you need to use co or -co, enter INFINITY...

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Q: C. Find i '(t). 1. ř (t) =

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