1) Does the series described by (-1)"; converge?

Q: The table below shows some ordered pairs for an exponential function ff. x 0 1 2 3 f(x) 51.2 6.4 0....

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Q: A o 5. Find the complementary angle of 26- Ao is 4 The complementary angle of 26= (Simplify your ans...

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Q: The table shows the position of a cyclist. t (seconds) 0|123 4 |5 s (meters) 0|15 10 17 25 (a) Find ...

A: Given query is to find the average velocity using the table.

Q: Lin is looking at cyclic quadrilateral ABCD. he says, "I'm not convinced that opposite angles of cyc...

A: Topic:- geometry

Q: f(x) = VT cos x2 COS 2x f(x) = x² + 4

A: Here we have to use the product rule Quotient Rule to find the derivative of the given functions.

Q: Evaluate the definite integral. da r(1+ In z)

A: We will use fact that  ln(a)b=b.ln(a). And ln(1)=0.

Q: Evaluate the indefinite integral. | sec²(v#) dx

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Q: Find an equation of the tangent line to the curve y Inx" – x² at the point where x = 1.

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Q: neat and orderly manner. linear equations:

A: Find the general solution  (D4 -2D3+D2)y= 0      

Q: The graph of the derivative f' of a continuous function f is shown below. (Assume f' continues to co...

A: As per Bartley guidelines we are supposed to answer only three subparts of one question.  This post ...

Q: - - 3. (D2 – 3D + 2)y = 2x³ – 9x2 + 6x

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Q: Professor Easy's final examination has 11 true-false questions followed by 3 multiple-choice questio...

A: Given:    11 true-false questions followed by 3 MCQ

Q: Consider the following sequence: +00 7" {an} = n=1 An+1 to show that the given sequence {an} is stri...

A: Given that: {an}=7n6n21∞

Q: Find the parametric equations for the path of a particle that travels three quarters of the way arou...

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Q: The differential equation x(3xy – 4y +6)tx+(x³ – 6x²y² -1]dy =0 is exact because ам ƏN D.4. ây

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: 12) Find the exact length of the curve [4,16] on 3

A: We can find the exact length of the curve as below,  

Q: - 2 merefore, we have 9w? - 5w + 7 y = = 9w3/2 - 5w!/2 + 7w¬1/2. Vw w, since the function is a sum o...

A: Topic:-  derivatives

Q: 8. Calculate the unit rate. Over the weekend, Mr. Quinn burned some CDs with his favorite songs from...

A: Given Total song burner=275 Total number of CDs is used=25

Q: Find the slope of the line tangent to the graph of y= sin3x at x=pie/6

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Q: Consider the exponential function f(x) = 58(0.36)x. What is the 1-unit percent change for f

A: We can find the 1-unit percent change for f as below.

Q: Question 6 Maximize z = 8x + 2y subject to: x+ y<4 2x + y s 5 x2 0, y 20 The maximum is 20 at (2.5,0...

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Q: a) Write down 1D advection equation (advection is convection without diffusion) b) Find the correspo...

A: he wave equation is closely related to the so-called advection equation, which in one dimension take...

Q: 7- 3t+ sin 6t Find the limit of f(t) = as t approaches - 6t + cos 6t 1 lim f(t) = 2 t→- 00

A: Given problem:-

Q: Let g(x) = x². Which of the following outputs of g is not guaranteed by the Intermediate Value Theor...

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Q: 8) Solve the initial value problem. y'(x) = y(4x' +1), y(0) = 4

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Q: Use Simpson's Rule with n = 4 to estimate the following definite integral: %3D a +32 dx x + 2

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Q: Use substitution to convert the integral to an integral of rational functions. Then use partial frac...

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Q: Let f(x, y)= Jxy +x+xcos y. (a) Find fxy.

A: Given:  Let fx, y=xy+x+x cos y To Find:  To determine fxy.    

Q: Determine whether the following statement is true or false. Use a calculator when necessary. If c...

A: We will find the value of Tanθ and determine that given statement true of false.Below find the solut...

Q: Iff (0) = g(0) = 0 and f" and g" are continuous, show that f(x)g"(x) dx = f(a)g'(a) – f'(a)g(a) + | ...

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Q: Evaluate the integral 7sin^2(x)cos^2(x)dx, from 0 to pi/2

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Q: An ice cream shop estimates that the revenue (in dollars) from the sale of x cones is given by R(x)=...

A: Given: - The revenue from the sale of x cones is given byR(x)=11000ln0.02x+1 To find: - The change i...

Q: Evaluate the limit. V x2 + 3 lim 3x² + 1 x- 00

A: Given: - The equation is, limx→∞x2+33x2+1 To Evaluate: - The limit of the given equation,

Q: A water tank is in the shape of an inverted cone (the vertex of the cone is the bottom of the tank)....

A: Set up the definite integral.

Q: Find the equahon of the locus of a point equi distant from (-2,1,-2) and (2,-2, 3).

A: Given problem:- Find the equation of the locus of a point equidistant from (- 2, 1, - 2) and (2,-2, ...

Q: The ideal gas law PV = nRT gives a relationship between the pressure P in pascals (you can read abou...

A: Given: The ideal gas lawPV = nRTP : pressure                           variableV : Volume           ...

Q: ngle. Roun 20 km 34° A 25 km

A: According to our policies we are allowed to solve one question at a time. Kindly report the other qu...

Q: Find the slope and y-intercept (if possible) of the line. (If an answer is undefined, enter UNDEFINE...

A: The given line equation -x+y=8

Q: The total sales of a company (in millions of dollars) t months from now are given by S(t) = 0.04t° +...

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Q: x2 - 2x + 1

A: The expression to calculate the the antiderivative of the given function: Fx=∫fxdx   The Power rule:...

Q: 1. Use the graph of the function f (1) below to answer the following questions: a) For what values o...

A: In this question we have to find the rate of change from the given function.

Q: A company has determined their yearly cost function, in dollars, to be given by 1,600x 5/2 C(x) = 6x...

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Q: Use the Definition to find an expression for the area under the graph of f as a limit. Do not evalua...

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Q: Find the complementary angle of 45.2°. The complementary angle of 45.2° is °. (Type an integer or a ...

A: Complementary agle =90°-angle  =90°-45.2° =44.8°

Q: jpechudu - 2tan"e.c tan "(sinhu) - c

A: To prove:- ∫ sechu du =2 tan-1(ex) +C                     = tan-1(sinhu) +C 

Q: Find the indefinite integral

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Q: Jse the Quotient Rule to find the derivative of the function. cos(t) f(t) (t)

A: We will use the quotient rule of differentiation to find the derivative.

Q: cos’x sin x dy + (y cos³x – 1) dx = o %3D

A: We have to find the solution of given differential equation

Q: Evaluate the indefinite integral. | cos*(3x) dx

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Q: Solve the initial-value problem starting from y0 = 10. dy dt = −6y y =     At what positive time doe...

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