Question 1 2r³+5x²– 4 Evaluate xp- 4 2r²+ 5x+ -+C 4 B x²-5x-+c x- 5x + -+C D x²+5x+ -+C

Q: Determine whether each of the following functions is (a) continuous (b) differentiable 2. f(x) = Vx ...

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Q: (MULTIPLE CHOICE) Which of the following is(are) differential equation (s) with homogeneous coeffici...

A: To determine which of the following is(are) differential equation(s) with homogeneous coefficients.A...

Q: Is the integral of 2x wrt x equal to 2x^(1+1)/(1+1)?

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Q: A large cylindrical tank has radius 2 m. Water flows out of a tap at the bottom of the tank at a rat...

A: radius of tank = 2m initial depth = 9m depth after 15 minutes = 4 m  

Q: xy°dx + (y+1) e "dy= 0

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Q: use Substitution method to schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: We have to solve it by substitution method. 

Q: Find the points at which the following function is discontinuous. (2r2 + 4 ifx 4 Select the correct...

A: The given function is f(x)=2x2+4if x<-56x2+2if -5≤x<42x+90if x≥4 Since polynomial functions ar...

Q: A tank in the shape of an inverted right circular cone is full of water. The water weighs 62.4 pound...

A: Work done on an object is defined by,         W=F.S, Where F is the force exerted on the object and...

Q: Create a question covering Inequality (quadratic)

A: quadratic inequality

Q: 1 2x-9 13 Evaluate lim 1 x→-2 - 2x+8 4

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Q: Find a formula for the graph in terms of f (x) = sin x or g(x) 10 = COS X. NOTE: Eter your answer in...

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Q: 12. Let F (x, y) : that = esin x+cosy (cos x,– sin y) and C = {(x, y): x² + y² 0. Show [ F- dR = 0 ...

A: Here we will use the Stroke's Theorem to prove the result.

Q: Given the function: f(x, y) = 3x°y² – 72²y+ 5x – 4y Find the folowing: show complete solution fzy(x,...

A: Given:      fx,y=3x3y2-7x2y+5x-4y   a) fxyx,y:     fxyx,y=∂2∂y∂x=∂∂y∂∂x      fxx,y=∂∂x3x3y2-7x2y+5x-...

Q: 26 E(- 1)"2n - %3D n=0

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Q: Find 7(t)dt if 7(t) = (2 cos t, sin t, 2t). A. (2-1.) B. (2.0,) c. (2.1) D. (2.2. ) 2, –1, 2,0, E. n...

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Q: Eliminate c, x'y =1+ cx (2+x3y)dx + xdy = 0 B (1+x?y)dx + x³dy = 0 © (1+x?y)dx + x²dy = 0 D (1+x3y)d...

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Q: Use technology to evaluate the given expression. Take 1.3 7.3 5.7 and B = 5.3 0 1.6 -2.34 A = \ 44.9...

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A: We have to solve this given bernouli equation. 

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

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Q: uate lim t→+∞\ 3t2 + 2

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Q: A. Find the derivative of the given function at a given number 1. y 3x-2 at f'(1) *Derivative of Alg...

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Q: Exercise: 1. Convert the Rectangular coordinates (-1,1, v6) to spherical coordinates. 2. Convert the...

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Q: 2-4 (2+4) Ba+C True or false? can be put in the form Explain. 2+4

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Q: Complete the following statements, if s(1) is a position or displacement function.

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-  parts for...

Q: Evaluate the following integrals. 1. sec-a dæ cos Va dx Væ csc /æ 2. x2 dx - 3.

A: Integration by parts

Q: 13. Find the solution set of b) 14x – 1| > |2x + 3| + 1

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Q: Given f(x) = Vx+ 8, find f' (-4) using the definition of a derivative. %3D Provide your answer below...

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Q: Find all local extrema for 4 f(x, y): * - 4xy + y.

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Q: Find the radius of convergence and the interval of convergence. 2k+1 k2 + 81 k=1 Radius of convergen...

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Q: as, consider the different

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Q: find mayium. heisht hit)--2+ +8+ t19 which OF descibes LOX 15X5 +3Y-200 the Pollonins accurately He ...

A: We have to find the maximum height using the differenciation

Q: Question 3 Consider the function h(x,y, z) = e10-xy + sin(2nz). (а) (i) Calculate the gradient of h....

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

Q: 1 g) E 2п-1 n=1

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Water is poured into a conical container at the rate of 10cm³/sec. The cone points directly down, an...

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Q: 8xdx 1 — 4еx?

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Q: If f(x) = 9x2 - x³, find f'(2) and use it to find an equation of the tangent line to the curve y = 9...

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Q: Find the derivative as indicated: 1) y = 3 cos x + 2 sin x ; find y' %3D 2) f(t) t sint ; find f'()

A: Given: 1: y=3cosx+2sinx2: f(t)=t sint   To Find: 1: y'2:f'(3π2)    

Q: . Find the slope and equation of the tangent line to the graph of the equation at a given point. 1. ...

A: Topic:- derivatives 

Q: -n ) Σe n=1 1 d) Σ+ 3 п n=1 8

A: C) Given that ∑n=1∞e-n By the integral test, ∫1∞e-x dx=limt→∞∫1te-x dx                              ...

Q: 35. Give linearly independent functions that are annihilated by D² (D² – 2D + 10).

A: We will find roots for the equation and use concept of differential equations to find the linearly i...

Q: cos(2x) dx sinx+cosx

A: Given: ∫cos(2x)sinx+cosxdx

Q: Instruction: Solve the following indefinite integrals. Show complete solutions. 14. | csc(1 + sin? x...

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Q: ge false. If true, you must explain why. If false, you must give a concrete counterexample (with num...

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Q: et dx 3 (9 + e2ª)ž

A: Solution: ∫ex9+e2x32dx Apply u substitution: u=ex dudx=ex⇒du=exdx⇒dx=1exdu  

Q: 3. Express the quadratic function g(x)=-4x² +4x+5 in the form a(x-h)' +k by completing the square, a...

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Q: The deviation of each observation (y) from the mean of the response variable is positive for every p...

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Q: Given the data table Years U.S. Population (millions) after 2000 1 285.5 295.5 8. 303 10 0. Use the ...

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Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusiv...

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Q: -6/- -70 -8 Provide your answer below: lim f(x) = U a. x -4 b. lim f(x) =D | x-4+

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