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Q: Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

A: We are asked to find the limit of the function.

Q: Given an infinite series, discuss a strategy for deciding what convergence test to use.

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Q: For the function -1 f(x) = if x 3 ' evaluate the limit lim f(x). (If a limit does not exist, enter ...

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Q: The following logistic function models an animal population, measured in thousands, t years after Ja...

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Q: 43. Using the method of undetermined coefficients, write the form of the assumed particular solution...

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Q: If f(x)=10sin(x)+3cos(x) , find a function g so that g"(x)=f(x) given that g(0)=0 and g(2)=12 . g(x)...

A: Given query is to find g(x).

Q: Let us try to find where a function is increasing or decreasing given the  following.  1. f(x) = x3−...

A: To find the function is increasing or decreasing in the given interval.

Q: Write this term in mathematic language: bcos(ax)^2, a-(sort(5)-1)/2

A: Let's find. 

Q: Find the unit vector having the same direction as v = (1, - 3). %3D 1 3. V 10 V10 10 V10, 3. O (1, 1...

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Q: 2. Find (a) the gradient of f at P and (b) the rate of change of the function value in the direction...

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Q: Evaluate lim -2x csc (-5x).

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Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. ...

A: Topic:- derivatives 

Q: Consider the following equation. 4x + 3y = 14 Step 2 of 2: Find the equation of the line which passe...

A: Given query is to find equation in of the indicated line.

Q: 3x lim The limit 2 x-2 (see graph) is

A: Here, to find the given limit: limx→2+3xx-2

Q: Determine all the partial derivatives of f(x,y, z) = y² In(x + 2y) – In(3z) (x³ + y? – 4z) Determine...

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Q: 2-Vn n=1

A: Here, the given series is: ∑n=1∞2-n=∑n=1∞12n=∑n=1∞12n2 which is a positive term series for all n.

Q: Solve for x, y, z and w. (Enter your ansv x + y y + z 3 5 z + w 8 5 (x, y, z, w) =

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Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.

Q: /1+x³ dx x-2

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Q: - 5 sin Find the period of the graph of y = 4 O 87 O 2 01 Submit Question

A: period of function  ASin(B(x+c)) is 2Π/B 

Q: Complete the following statements, if s(1) is a position or displacement function.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for...

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

A: We will find roots for the equation and use concept of differential equations to find the linearly i...

Q: 2. Given that r(t) = 2 sin ti + 2 cos tj+ tan tk. Find the unit tangent vector T(t) at the point wit...

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Q: I-4, I 2 %3D undefined b. 2 x C-2 d. does not exist

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Q: If I(theta)=cos^2(1/2theta) what is I’(pi/2)

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Q: 5. csc 4x dx

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Q: x'e-2x dx 20 dx 2

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Q: Use Simpson's Rule and n = 4 to find an approximation for the definite integral Vr +1 dr %3!

A: Here, the given function is: f(x)=x3+1 Now, the Simpson's rule formula to approximate the definite i...

Q: A dinghy is pulled toward a dock by a rope from the bow through a ring on the dock 8 ft above the bo...

A: Note: Since you have asked part b, we will solve only part b. 

Q: A child flies a kite at a height of 150 ft, the wind carrying the kite horizontally away from the ch...

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Q: 구 1- %3D -7 -6 -5 -3 -2 -1 4 5. 6 -3 -5- -6- -7-

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Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

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Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of r...

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed ...

Q: Usin IVT how do you show this equation has a root. On the interval (0,2)

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Q: Given f(x) = 3 – x', use a table to estimate the slope of the tangent line to f at the point P(-2, 1...

A: Given :- Given f(x) = 3-x³, use a table to estimate the slope of the tangent line to f at the point ...

Q: Write an equation for a rational function with: Vertical asymptotes at x = -5 and x = 6 x-intercepts...

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Q: solve for nonbemagnenous dileremnial equation.

A: We have to find the general solution of initial value problem

Q: Use the table below to find dx [f(x) + g(x)] |x=3 1 2 4 f'(x) g'(x) 4 1 5 3 1 4 2 d [f(x) + g(x)] (T...

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Q: Find the area under the curve – 1.5 0.5x from x = 9 to x = t and evaluate it for t = 10 t 100. Then ...

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Q: MULTIPLE CHOICE) Which of the following statement (s) is(are) true? I. y = e-/2 is a particular solu...

A:  Given perticular solution y=e^(-x/2)  And y=e^(2x)cos3x

Q: Suppose that Miguel has traveled a distance of 1 km, and now he wants to convert distance into cm , ...

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Q: Please answer. Numbers, holes, and shaded circles should be clearly seen. For each specified discon...

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Q: Solve the following problem related to function. (Show your solution) 4. What is the equation of the...

A: Given, fx=x+1 We have to write the equation of the graph of a function when fx=x+1 Vertically stret...

Q: So* - y-³) dy 2.

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Q: For the next five questions, consider the following differential equation: ( + ry")dr + (5y - ry+ y'...

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Q: Problem 1. Draw a direction field for the given differential equation. By hand, sketch an approxi- m...

A: Solutionn is here

Q: 1 g) E 2п-1 n=1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Evaluate the following integrals. 1. 4.x3 sec-1 æ dx cos VT dx x Csc Vx 2. dx V4x – x2 3. -

A: Given problem:-