There are three conditions in which limits do not exist

Q: Find the areas bounded by the indicated equations y = 2x, x = 0, y = 10 (А) 25 (в) 40 none of these ...

A: Given:Y= 2x, x=0 , y =10We will find the Area bounded by these equation.Below find the solution in t...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper f...

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Q: 4. Find the equation of the tangent line to the curve f (x) = (x² – 4)(2x + 1) at x : -2.

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Q: Express the repeating decimal as a fraction. 0.565656...

A: Let A= 0.565656....      equation 1

Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

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Q: a. 15. A committee of three is to be formed from a group of four Math teachers and five Science teac...

A: topic - permutations and combinations

Q: y"-7y'= (2x –1)sin 2x

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliary...

Q: 3x2 + 6, x 0 1+ 9x + x3' Find the following limits. NOTE: Enter an exact limit if it exists. If the ...

A: This question is based on Limits.

Q: Find the domain of the following rational function. x+4 h(x) = x - 16 Select the correct choice belo...

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Q: ソニqett 10 =50e-0,0357+ 5oe ○.2 ニe-0,0357ナ Inco.2)ニ =-0.3577 Tニ

A: y=aekt10=50e-0.0357tDivide 50 on both side1050=e-0.0357t15=e-0.0357t0.2=e-0.0357tapply ln on both si...

Q: dy 2y (х + 2)* dx x -4 х - 4 +

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Q: 3. y'-5y =xe* –xe"

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 15 inches wid...

A: Trapezoidal  and geometrical area 

Q: 3. Determine g'(1) for g(x) = (8x² – 3x)³. -

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Q: Watch the video and then solve the problem given below. Click here to watch the video. 60- The graph...

A: Given the graph which shows the remaning life expectancy E.

Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: (x³–2x)* 1. у- ; d'y/dx? 2. Y = (5x³ + 2)6 ;...

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Q: Classify the differential equation d y d'y + tan x %3D da3 da5

A: Follow the procedure given below.

Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+7z=46. Roun...

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Q: Determine which of the following differential equation is linear O +5 + 2y² = e3= %3D + 5y +2y = 0 %...

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Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values...

A: Since you have posted multiple questions i can do first question with first three subparts as per ou...

Q: Consider the initial value problem and find the solution: a. y" – 3y" +y' + 5y = 0, b. y" + 2ay' + (...

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Q: 1 Elminobe the arbitrary conetants Y- C,e COS 2X

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Q: Calculate the volume of a solid enclosed by the following equations z=x² +1 , x=6, y=9 and the three...

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Q: 3. lim cos X

A: Given: limx→0cos(x)   We know that; cos-θ=cosθ   Let, fx=cosx

Q: In 3 [te' i + e'j + In tk] dt 1

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Q: Express the repeating decimal as a fraction. 0.2513 23 23 23...

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Q: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

A: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

Q: dx Evaluate x²/4 x²

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Q: 5. If 3x? +2xy + y? = 1, then y' %3D 1-3x-y c.) d.) - 3x 3x+y y? 3x+y a.) b.) x+y x+y 1+y 6. Evaluat...

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate tha...

A: This is geometric Progression series for convergence check common ratio

Q: Solve the differential equation e-y da (11) = ze" O e +z = C Oe lets) +7 = C O e +z = ( C O e-t-) +=

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 3. y = V(4x + 3)³

A: Differentiation 

Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

A: A detailed solution is given below.

Q: Determine the Laplace Transform of the given integral equation. A. f (t) = S sin(t - 7) cos(7)dr

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Q: 2. lim 5*

A: Here we have to evaluate limx→05x

Q: Use the difference an+1 - an to show that the given sequence {a, } is strictly increasing or strictl...

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Q: Suppose f(x)=6(2.3)x and g(x)=58(1.7)x. Solve f(x)=g(x) for x.

A: Given that        f(x) = 6(2.3)x and  g(x) = 58(1.7)x And given f(x) = g(x)  Here we have to find th...

Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: 2. CalaulateS. x edx by tra Pe Zoidal rule n=40

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Q: Use any method to determine whether the series converge. (a) 11k k=1 8.

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

Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A: This question is related to sequence and series, we will solve it using ratio test. 

Q: Evaluate the following integral | sec(VT) tan(v) dæ

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Q: Evalmate: 3/2 Cas 3x) dx

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Q: P. Iff: [-4,0]→R is defined by e* + sin x, its even extension to [- 4, 4] is given by (a) – e-lx| - ...

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Q: V Solve usinog variaton of parameters or reduction of order (D²- 2D+1) y = e2"(e*+1)?

A: Solve by using variation of parameter  find auxiliary equation and then find wronskian and put in th...

Q: d) Let A, be the region between y = x² +9 and y 21-x. Let A, be the region between y = x² + x – 12 a...

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Q: The function f(x) 2x 36x + 162I - 7 has two critical numbers. The smaller one is x = and the larger ...

A: The critical number of a function f is a number c such that either f'(c) =0 or f'(c) doesn't exist.

Q: Write down the equation of the line that passes through the points (5, -1, 2) and (3, 1, 1). Using v...

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Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves: