Is the function 1 >-{ f(x) = √x x3 x < 0 0 ≤ x ≤ 1 piecewise continuous or piecewise smooth on [-1, 3]? Why?

Q: 9x |_the_r-ne S 9x - - 9xdx

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Q: Show the complete solution. Kindly, include the necessary table of values. 6. If a thermometer is…

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Q: Find the sum of O 10 O 12 8 5 n=1 The series diverges. 573-2-n+1

A: Here we have to find the sum of the series.

Q: (c) Determine whether the series (2n)! Σ 7"-¹ (n!)² n=1 converges or diverges. (d) Show that series…

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Q: QUESTION 15 Use a graphing utility to graph the function over the indicated interval and approximate…

A: The answer as follows:

Q: Find the exact value of the expressic ܪܕܐ -1 sin sin ၁ 5 သ | O 2n O 2n 5 5 Эт O 3n 5 3 5

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Q: Consider the region in the fourth quadrant between the circles x² + y² = 4 and x² + y² = 25 and…

A: answer is in next step. please give a like !!

Q: dr 3 - 4r - r2

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Q: 1 A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y =…

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Q: Evaluate the following definite integral. 4 7y S -1 у-зу-10 2 Find the partial fraction…

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Q: Suppose that f(x) is a continuous function on the interval [0, π]. If f(x)=(sin x)² for 0<x<, then…

A: Since the f(x) is continuous function in [0, π], therefore the value of function at x = 0 must equal…

Q: 3. y= e3x e3x + 1

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Q: Match the function with one of the graphs below using horizontal asymptotes as an ald. 4x f(x) = y 2…

A: Let's find horizontal asymptote of given function.

Q: A solid bounded by z = x² + y² and z=4. Find the volume of the solid.

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Q: A baseball team plays in a stadium that holds 54000 spectators. With the ticket price at $9 the…

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Q: A. Show that f(x, y) = (x-1)(y-2) (x-1)²+(y-2)² 7 (x, y) = (1,2) (x, y) = (1,2) at (1,2). 1 is…

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Q: Consider the function f(x) = 2x² + 4x - 7. f(x) has a critical point at x = A. Find the value of A:…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: A company that produces cell phones has a cost function of C = 112² - 244x + 12581, where C is the…

A: The cost function is given as: C=11x2-244x+12851   We know that, at the minimum value, the…

Q: Find the second derivative of y= b. -x-32 a. -3/2 4/24 C. -5/2 C. thrown vertically upward. The

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Q: ["[" f(2,3) dy dr True False [1 f(x, y) de dy

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Q: Show the connection between the slope of a tangent of a function at a given point and its derivative…

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Q: A/ Apply Euler's method to obtain the approximate value of y (0.3), where y (x) is the solution of…

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Q: An airplane has an airspeed of 410 kilometers per hour bearing N45°E. The wind velocity is 70…

A: Given 1. Air speed of airplane Vap=410 KMPH in N45°E 2. Wind speed  Vw=70 KMPH in N30°W

Q: The indicated function y(x) is a solution of the given differential equation. Use reduction of order…

A: The objective of the question is determine the second solution of the given differential equation.

Q: Find the volume of the solid obtained by rotating about the x-axis the region bounded the curve and…

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Q: Find limit of lim x-->0 of f(x)= (e3x-3x-1)/(4x^2

A: Given limx→0e3x-3x-14x2

Q: Evaluating Expressions - Application Leah has a headache, and takes 800 mg of Tylenol. The amount,…

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Q: Q5)-Solve the following a)- 3|4x-1| ≤ -9 (draw)

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Q: I can't read this handwriting at all.

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Q: Identify and graph the polar equation. r=4-4 sin 0 What shape does the polar equation form when…

A: required graph of the given equation is

Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

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Q: sinx cosx 4 + sin4 x dx

A: The given integral is sinx cosx/(4+sin4x).

Q: The graph of f(x) is shown (see figure). (a) Find the following limits. L = lim f(x) = x-- √x²+ K =…

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Q: Consider the definite integral cos(1 + √x) dx A) To estimate this integral accurate to four decimal…

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Q: Find the volume of the solid formed when the area of the region bounded by the curves x²- 3y-5 and…

A: Solution

Q: Find or evaluate the Integral by completing the square. (Use C for the constant of Integration.) 10x…

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Q: Sketch the following equation. Show work for finding asymptotes, critical points, inflection points,…

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Q: Find the third degree Taylor polynomial centered at a = O T3(x)=3+3x+3x²+3x³ O T3(x)=3-3(x-1) +…

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Q: H.w2: Use Runge-Kutta Method with (h = 0.1) to solve the eqaution y" + 3xy' -6y=0 with y (0) = 1,…

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Q: Find lim (√2-t, et-¹, In(t + 1)) t-0

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Q: Evaluate the indefinite integral given below using the indicated substitution. -10x (-5x² - 10)¹ dx…

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Q: jw F(w). jw F(W) = ·A TAW [9 - acos(wr) -2A (1 - cos (WT)). Tjw jw F(W) = -2A ((asin ² (WT)) 2 Tjw…

A: To explain the encircled step.

Q: 1. A private telephone company serving a small community makes a profit of *12.00 per subscriber, if…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Find the limit. Use l'Hospital's Rule if appropriate. Use INF to represent positive infinity, NINF…

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Q: дz дz If z = x.f(xy), express x-y in its simplest form.

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Q: 2(3+3+9-8)-6

A: Given data:- 2(3+3+9-8)-6

Q: SS₂ (x² + y) dA. R 2 s's 1 0 217 2 2 (r^cos²e +r sine)r de dr integral It is left as an exercise

A: Given:        ∫∫Rx2+ydA=∫12∫02πr2cos2θ+rsinθrdθdr…

Q: Find the indicated midpoint rule approximation to the followin S 4 sin (x) dx using n = 6…

A: The Midpoint Rule: ∫abfxdx=∆xfx0+x12+fx1+x22+fx2+x32+...+fxn-2+xn-12+fxn-1+xn2 Where, ∆x=step…

Q: Find the exact sum of the following series 및 ㅠ 23 O1 O v2 √3 2 ∞ 우 (-1)" (#)2n+1 32n 3 (2n+1)! n=0

A: Concept: For sin(x), the Maclaurin series expansion is given by:…