For what value of e is the function defined below continuous on (-∞0,00)? C= 9. f(x) = [cx + 1, cr²-1, I <-6, x>-6.

Q: 4. Evaluate the double integral: L Lope y¹/3 (Hint: Change the order of integration to dy dx.) dx…

A: Given problem:-

Q: Consider the sequence 20, 14, 8, 2, ……, (a)    Write a recursive formula of the sequence. (b)…

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Q: 1. Find the limit, if it exists. If the limit does not exist, explain why. 8x³+2x+1+x+2 (b) lim 5x +…

A: Solution: The objective is to find the given limit

Q: PART I. DIFFERENTIALS Using differentials approximate the value of the following 5. √64.05

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Q: 5. Find and classify (local max., min. or saddle point) all critical points for f(x,y) = x³ − y² +…

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Q: Let D be the region bounded by the two paraboloids z = 2x² + 2y² - 4 and z = 5 - x² - y² where x ≥ 0…

A: Explanation of the answer is as follows

Q: In x -2 x dx

A: Given: I=∫12lnxx2dx   Apply the integration by parts to solve the given integral. ∫udv=u·v-∫vdu

Q: 1) A pump is used to fill an inflatable mattress at a constant rate of 0.25 cubic feet per second.…

A: As per bartleby guidelines we only give first question answers.

Q: find the given differential solution, using homogeneous equations with constant coefficients.…

A: Solution: The objective is to find the general solution of the given homogeneous differential…

Q: b. 5x-2≤2 X+2 Jawab: Tentukan penyele berikut! a. √6x +1>5

A: 5x-2x+2≤ 2

Q: Q4\ Find the average value of f(x,y) = (+√) where 0≤x≤y and 0 ≤ y ≤ 4.

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Q: 1. Find the area of the region bounded by the curve y=- 1+x² 2x² and the lines y = 0, y = x,x= 2.

A: First we draw the graph,

Q: sin4 x cos5 x dx

A: To solve: The integral ∫ sin4xcos5x dx Formula used: cos2x=1-sin2x Power rule of integration:…

Q: Find g'(x) for each of the following functions. 4) g(x) = sin(u²)du 5) g(x)=₁*Inu du

A: Solution: The objective is to find the derivatives of given functions

Q: Q6. Let w = f(r,0), r = √x' + y³, 0 = tan'(y/x), ), find aw ?х > and ди ду in terms of r and 0.

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Q: Evaluate the double integral: y SLAZ+1 y²/3 x + 1 (Hint: Change the order of integration to dy dr.)…

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Q: Consider the Initial Value Problem (IVP) given by dy dr y (0) = 1. a. Sketch the slope field of the…

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Q: 6. Find the dimensions of a rectangle of the largest area that can be inscribed in a circle. 7. An…

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Q: H.W Find the maclaurin series of the following functions:- 1 2- 3- sin (3x) 1+x 4-7 cos(-x)

A: As per bartleby guidelines we only give first question answers.

Q: The output of an economic system Q, subject to two inputs, such as labor L and capital K, is often…

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Q: A- L [ Sin2t + cos2+] ² 2 B 32 3-2 [37-² + cost's *] 3 2

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Q: Evaluate the double integral: S² SATI 1/3 x² +1 (Hint: Change the order of integration to dy dr.) dr…

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Q: Relative

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Q: 9) A skydiver jumps from a plane from 4000 meters and begins to fall at a velocity of v(t) = (2t +…

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Q: 2 [*x* (Inx)² dx

A: Given integration is evaluated.

Q: 2e²x +7e* e2x+4ex+13 S dx

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Q: Find the area of the region enclosed by the curves y = 4 24 8 16 O O x³ and y = 4x.

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Q: Determine whether the given function is even, or odd, or neither. One period is defined for the…

A: We have to find if the function is even or odd.

Q: Let f(x)=sinx. Determine the x-value(s) where the function has a maximum or minimum value on 0,2m).…

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Q: (d) Give the local maximum and minimum values of f (x). Enter your answers in increasing order of…

A: Local maxima and minima and concavity

Q: Q4: A) For each of the following ,find fx fy fex fyy fyx and fxy 2.f(x, y) = sin²(x-3y) 3.f(x,y) =…

A: Solution: The objective is to find the partial derivatives of the given functions

Q: For each of the following ,find fx fy fxx fyy fxx and fxy 1.f(x, y) = x cos+ ye*. 2.f(x,y) = y²x¹ey.…

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Q: 2. Evaluate the double integral that will find the volume of a solid bounded by z=1-2y²-3x² and the…

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Q: For the following function, find the Taylor series centered at x = 5 and then give the first 5…

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Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution 2x + 1…

A: Given:   y = 2x + 1      y = ( x - 1 )2

Q: When solving ff(u)du = t - e³u f(u)du you obtain 1 A) f(t) 1-e³t t B) f(t) 1+e³t t C) f(t) 1-e³t 1…

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Q: ¹ ( 7 (x − 3)). Consider the function f(x) = 4sin((x-3) +6. State the amplitude A, period P, and…

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Q: 44 x² -31 x6 +10° Approximate 26 decimal places. de using a right Riemann sum with n = 50. Round…

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Q: Evaluate the double integral: 2 So de dy. Sola 0 Jy¹/3 Y x7 +1 (Hint: Change the order of…

A: Application of integration

Q: Set up but do not evaluate an integral that represents the volume of the solid of revolution…

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Q: A. Consider a 100-meter track used for foot races. The time it takes for a ru run the track can be…

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Q: Calculus Use partial fractions to evaluate the integral 1²-21+3 12² (x − 3)(x² + 9) dx.

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Q: Find the taylor series of the following functions for the given points:- 2- f(x)= sinx a= π/4 3-…

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Q: Find the value of t(5) if you are give t(3)=-1 and the non-recursive formula is given as…

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Q: COS X 1+ sin² x dx

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Q: -valuate the following 3 .4 3 2 x² + 2x³ + 3x² + x + 1 x4+x²

A: A detailed solution is given below.

Q: Show that the function f(x, y) = 3x - 4y² is differentiable at point (−1, 2)

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

Q: DETERMINE WHETHER THE GIVEN FUNCTION m(x) IS CONTINUOUS OR DISCONTINUOUS AT x = -1

A: NOTE: Refresh your page if you can't see any equations. . find the left-hand limit of the function…

Q: Evaluate the following 3 3 x4 + 2x³ + 3 X² + x + 1 x4+x² 2

A: We have to evaluate the integral.

Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

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