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Q: V/2x+3) (x²+1)" 17. f(x)=-

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Q: (a) u'(1) = It does exist. u'(1) does not exist because f '(1) does not exist. O u'(1) does not exis...

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

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: Xe dx (x + 1)² 4.

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Q: x + 1 1 dx = + 1 - Ina + a Find: a + B

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Q: Suppose that f(z, y) = x°y?. Find the directional derivative of f(x, y) in the directional (1, – 1) ...

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Q: 3. If y = (sin 4x)², find y' %3D a.) 4 sin4x cos 4x b.) -4 sin4x cos 4x c.) -8 sin 4x cos 4x d.) 8 s...

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

Q: x- , y- In(t) (a) Eliminate the parameter to find a Cartesian equation that represents the curve. (b...

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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: Q/ Does the function have horizontal, vertical, or oblique alignments y = X-1

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Q: x?dx ax ax + Barctan () + C x2 + 49 Find: a + B + 8

A: Use formula for integration of 1/(x^2+(a^2))

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

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Q: A tank initially contains 100 gallons of brine whose concentration is Ib/gal. Brine whose salt conce...

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Q: Write the first five terms of the sequence: {Vn² +n = n} +oo Determine whether the sequence converge...

A: Given sequence n2+n-n

Q: 2 integrate by parts

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Q: h(x)= cot r11- tan"x

A: Given, hx=cot-11x-tan-1x We have to find h'x.  

Q: Consider the following sequence: {a,} n=1 An+1 to show that the given sequence {an}is strictly incre...

A:      

Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: I. Evaluate the integral of xy dx from x 0 to x 6 using the parametric equation x = 6 cos 0 and y 2 ...

A: Now we have to find the value of integral: ∫06 xy dx

Q: Ni dr A +1 B 2 C) D E) None

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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: Solve for the orthogonal trajectories x²(3k – x) – ky² = xy?

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Q: The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), an...

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Q: Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that...

A: This is a limit, continuity and differentiability problem

Q: 4. y +2xy = x+y

A: Given:- y2+2xy=x+y To find:- First and second derivative of given implicit function

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: Use any method to determine whether the series converge. 1. (a) 19k k=1 The series 00 1 (b) 19 + 1 k...

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Q: dV The value of C in the equation: dt 500(t+1) -2 , when V=700 and t=0 is

A: Given: dVdt=-500t+1-2 And V=700, t=0 We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And ∫c·fxd...

Q: A. Fill in the tables and guess the value of the limit. 1. lim f(x), where f(x) = х3 — 1 x2 -1 %3D f...

A: Given that        f(x) = (x3 - 1)/(x2 - 1)  Here we have to find            limx-->1 f(x) .

Q: The number of people P(t) (in thousands) infected t months after an epidemic begins 5 - where 1<t<12...

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly aks th...

Q: 2. Let f be defined by the equation f(x) = V3-x. a. Evaluate lim f(x) %3D x-3+

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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: Evaluate the following limits: x2 + 4x – 12 lim x2 – 2x

A: SOLUTION-

Q: The Laplace Transform of a displacement is given as +4a s(s+1): with a-2. Calculate the limit displa...

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Q: 1. The figure shows the graph of a function f(x) with domain 0 < x < 3. Which of the following state...

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Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT. 3...

A: The given curve,  y=x+2x-23 at x=1

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

A: Differentiation 

Q: KLL- čircult C lonsider a

A: In this question we are given the RLC Circuit.

Q: Find the exact value of the expression. cot

A: Cot(x)= Cos(x)/Sin(x)

Q: An+1 Use the ratio to determine if the sequence { ne" }, +o is strictly increasing or strictly decre...

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Q: dy Find for the following function. dx y = 5 sin x+2 cos x dy dx II

A: Given that          y = 5 sinx + 2 cosx  Here we have to find dy/dx .

Q: are

A: We will find the critical points. 

Q: 26. Evaluate sx sec²(5x²) dx a. 2 sec (5x) tan(5x2) + C b. 20 1 tan (5x) + C c. 10 tan (5x?) + C d. ...

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Q: Select the integral that calculates the average of a function f (x) O f (#) dæ Of (x) da

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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: Find the particular solution to the differential equation y' = (6xy)2 that passes through 1, − 1 ...

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Q: 8. If the longest side of a right triangle is 5.5ft and the shortest side is 3.3ft, find third side ...

A: Here, the longest side of the right is the hypotenuse whose length is given h=5.5 ft.

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

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Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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