Evaluate the following limit using Taylor series. 3tan ¹x-3x+x³ 5 lim x-0

Q: Use the substitution t = -x to solve the given initial-value problem on the interval (-∞o, 0) x²y" -…

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Q: Consider the following second-order differential equation. 2y" + y = 0 Find all the roots of the…

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Q: A swimming pool whose volume is 10,000 gal contains water that is 0.03% chlorine. Starting at t=0,…

A: Given: the volume of swimming pool = 10000 gal that contains 0.03% chlorine. at t=0  ,0.002%…

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

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Q: Umm can this be answered more clearer, I can't really tell what the answer is, and when I put it in…

A: Let's solve.

Q: Consider the function on the interval (0, 27). f(x) = 1/2/20 + COS X (a) Find the open intervals on…

A: topic- Relative extrema of a function.

Q: Find az/ax if - z = x² sin(xy³) O x³y4 cos (yx³) + 4y³ sin(x³) O x³y³ cos (xy³) + 4x³ sin(xy³) x4y³…

A: Find the derivative

Q: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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Q: Find the domain of the function. (Enter your answer using interval notation.) F(x)=√x + √7-x

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Q: Consider these three examples: A. S 1dx 1+x² B. f sin²x C.S.sin x dx We want to solve one using a…

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Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: We are asked to find the diminishing returns of the point.

Q: 2 2 6 8

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Q: f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

A: Let f(x)= x+a, a is a constant So, f'(x)=1

Q: Module A car dealership increased the price of a certain car by 4%. The original price was $44,400.…

A: As per given question  We have to determine new price of car

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

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Q: Write an equation for the function graphed below 5+ 4 3 2 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 y = -5+ 1…

A: topic- graph of a function

Q: Find a unit normal vector to the surface at the given point. [Hint: normalize the gradient vector…

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Q: 3 g-¹(x) = = (Write your inverse function in terms of the independent variable x.) Find the inverse…

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Q: 3. From a thin piece of cardboard 14 in by 14 in, square corners are cut out so that the sides can…

A: This question can be solved using the concept of maxima and minima.

Q: Let f(x) 4x + 25 if x - 5 if x = -5 2 Select all statements below that you agree with. Note: You…

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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: Use Lagrange multipliers to find the indicated extrema, assuming that x, and y are positive.…

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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: Determine csc(x) + cot (x) if tan x + sec(x) = 22/7. 27/12; 29/15; 24/18; 23/11

A: We can answer the question by finding the correct option as below.

Q: 1. Evaluate the double integral r²y dA, where D is the region enclosed by the x-axis and the…

A: We can evaluate the double integral.

Q: Identify any extrema of the function by recognizing its given form or its form after completing the…

A: The given function is fx,y=x2+y2+6x-18y+3

Q: Using the circular disk method, find the volume of the solid generated by revolving about the…

A: Given curves , y=x ,                   (1)x=4.                       (2)

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: 4. Condense the log to a single log expression. a. 2 log y - 3 log x - 2 log 10 b. Ina+3 ln y

A: See this solution in below

Q: A store has determined that the number of Blu-ray movies sold monthly is approximately n(x) =…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = (1, 5, 5)

A: Follow the procedure given below.

Q: The RideEm Bicycles factory can produce 130 bicycles in a day at a total cost of $10,400. It can…

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Q: pls

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

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Q: Determine the graph of the equation. -x² - y² =z Choose the correct graph of the equation. O A. at…

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Q: 3 Solve the following ODES by Inverse Operator method 2 • (B³² +1) y = cos x 11

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Q: 1 yy" + (y)² = yy' y(0) = 1, y'(0) =

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Q: -1 Range of f -4 -5 -6 O (c) Describe the relationship between the graphs. Domain of 1 -81 Range of…

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Q: 1. Find and classify all critical points of the function f(x, y) = x² + y²-3x - 4y.

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Q: Find the gradient of the function at the given point. Function g(x, y) = ye-x Vg(0, 9) = Point (0,9)…

A: Given function: g(x,y)=ye-x

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: 2. Given the function f(x, y)=3x²y + 2xy-y, a) find the value of the directional derivative of the…

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Q: the function. x+1 f(x)= (a) Find the Inverse function of f. 1-¹(x) = (b) Use a graphing utility to…

A: Please see the below picture for detailed solution.

Q: If cos x = 5/11 and the terminal point of x is in Quadrant IV, what is sin x

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Q: 2 (D" +8D² +16) y = - sinx Ans: y=as2x+ C₂ Sin2x + C3 XC052 X + (4x sin2x-sinx

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Q: 7. The sides of a parallelogram are 6.3 cm and 9.2 cm. One angle is 56° while the other angle is…

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture and a…

Q: The shape of a colony of bacteria on a Petri dish is circular. Find the approximate increase in its…

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Q: (c) Find a function f such that F = Vf where F(x, y, z) = yzi+xzj + (xy + 2z)k.

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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 profit from the sale of x units of radiators for automobiles and y units of radiators for…

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