Use sigma notation to write the sum. 4 4 1 + 2 1 + 3 4 1 + 1 + + + ... + 4 1 + 19

Q: For the function below, find a) the critical numbers; b) the open intervals where the function is…

A: The objective of the question is determine the critical point and intervals in which function is…

Q: For a certain automobile, M(x) = - .015x² +1.32x-7.3, 30≤x≤ 60, represents the miles per gallon…

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Q: (e) Find the linear approximation of the function f(x, y, z) = x³ √√y² + z² at the point (2, 3, 4)…

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In√√x² + y2, (3,…

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Q: Partial Fraction Match the following with their corresponding answers in the right column. Consider…

A: Given the integral and we want to know what is the type of factors the denominator of the integrand…

Q: 15) I What is the average rate of change of f(x) = from x = -2 tox = 4? x-s X+3 b 24 7 M C. d. 25 21…

A: We know that the expression for the average rate of change between the interval x2≤x≤x1 is: Average…

Q: If In a = 2, ln b = 3, and ln c = 5, evaluate the following: a² b²c4 (a) In = (b) In √a²b²c4 =

A: To evaluate the given expression.

Q: 72. Function f(x) = cos 2x, π 0<< 2 Real Number a = 1

A: Given: fx=cos2x 0≤x≤π2

Q: The approximate rate of change in the number (in billions) of monthly text messages is given by the…

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Q: QUESTION 1 P 0 0 9 0 00r Show that 0 Hence, determine the inverse of the following matrices: 100 i.…

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Q: -5 -4 -3 -2 -1 midline: y = amplitude: 7 period: -1 -4 q Determine the midline, amplitude and period…

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Q: Identify any holes in the graph off(x)= x=-=/ b. x=- x=-- a. 17 X+7 7x +49 C. x=7 d. x=-7

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Q: The figure shows the temperature values (in °F) on a typical May day in a certain Midwestern city. t…

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Q: A bank offers a 12% interest to be compounded annually. How much should a teacher deposit now if he…

A: A bank offers a 12% interest to be compounded annually. The teacher wants to receive Php. 15000 at…

Q: 8.6 EXERCISES In Problems 1-10, classify each singular point (real or complex) of the given equation…

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Q: What intervals must be considered for finding solutions to the inequality x > 5-º? C. 03 d. x 3 a.…

A: Follow the procedure given below.

Q: Use vectors to find the fourth vertex of a parallelogram, three of whose vertices are (0, 0), (1,…

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Q: Identify the type of solution for each problem and solve for the general solution. Choose the most…

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Q: In the integral of x cos 2x dx with limits form 0 to pi/2, what is the indefinite integral? Select…

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Q: Write an equation for the function graphed below -7 -6 -5 y = 4 110 123 ku 3 4 5 6 a

A: We can  formulate the equation of the function by using the vertical asymptote and the  intercepts.

Q: Solve for t, 0 < t < 2π 14 sin(t)cos (t) = 8 sin(t) t = 0.96,5.32 Give your answers accurate to at…

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Q: Evaluate the following definite integral by using suitable trigonometry substitution: √2√3-2² dx.

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Q: x, evaluate each expression.

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Q: Find the general solution of the given higher-order differential equation. d'u 분 700분 - 20분 +7. dr5…

A: The given differential equation, d5udr5+7d4udr4-2d3udr3-14d2udr2+dudr+7u=0

Q: A local club is arranging a charter flight to Hawaii. The cost of the trip is $543 each for 83…

A: We need to find no. of passengers and max. revenue.

Q: sina+sinatan² dx a sinx 2. ·S

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Q: the origin 2 2 S (1-10²1) ² dx -1 2

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Q: cook Use the power series f(x) = In (1-x) = - Σ for -15 x <1, to find the power series…

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Q: Write an equation for the function graphed below -7 6 5 4 -3 -2 y= 50 on it'st 72 3 Q

A: Topic = Functions

Q: Find the intervals where the curve is increasing and where it is decreasing. Also, find all z values…

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Q: For the given differential equation, what is the a) order, b) degree of the differential equation,…

A: The given differential equation is d3ydx35-7xd2ydx23+5dydx=11ey

Q: Solve the following ODES by Undetermined Coeff. 17 4X y - 16 y = 19.2 e + 60 e ycolý 4X -4X Ans:…

A: The given differential equation is;  y''-16y=19.2e4x+60ex y(0)=y'(0)=0.

Q: Solve the differential equation by variation of parameters. y" + y = csc(x) y(x) = c₁cos(x) +…

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Q: Evaluate the limit lim_ (8x² + 4) (6x + 8 →7

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Q: Consider a pool shaped like the bottom half of a sphere, being filled at a rate of 25ft^3/min.the…

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Q: pls

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Q: By power Series method, Solve the following ODES • (2+x)y=y ans: y = a. (1+1=1/2 X

A: In this question we have to find the solution of the power series.

Q: Use the gradient to find the directional derivative of the function at P in the direction of v. h(x,…

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Q: Evaluate the line integral y = x² from (-1, 1) to (1, 1) and the line segment from (1, 1) to (−1,…

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Q: lim X+0 2-√ 4-X² x ²

A: We can find the answer by finding the limit as below.

Q: The number of traffic accidents per year in a city of population p is predicted to be T 0.002p ³/2.…

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Q: Find the TOTAL SOLUTION of the following Differential Equations: 1. 3 dy. dy +3 dt³ 2 dt² - 4 = 5t²…

A: Given the differential equation is d3ydt3 + 3d2ydt2 - 4 = 5t2 + 4

Q: Find the absolute extreme values of the function on the interval. F(x)= == 3 21 0.5≤x≤2 OA. absolute…

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Q: For Luce landscaping, the total revenue and the total cost of yard maintenance of x homes are given…

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Q: Problem 2.4 Evaluate lim (√²+x-=-) x X

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Q: Solve the given differential equation by undetermined coefficients. y" + 7y' + 6y = 18 y(x) = || X…

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Q: Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE…

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Q: Select the correct answer. y = 6x4 - 8x² + 5x 4 y = 5x² - 6x² + 8x + 3 y = 6x²³ - 8x² +5 Oy=x²-8x²³…

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Q: Find the area of the region bounded by the graphs of the given equations. y = 6x-x², y = - 2x The…

A: The given curves are: y=6x-x2, y=-2x   Now find the point of intersection between the given curves.…

Q: Answer without referring back to the text. Fill in the blank. The only solution of the initial-value…

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