Evaluate the limits lim x² + 3x- 4. x→-1 -6 -7 -2

Q: 4. Let R be the infinite strip between the x-axis and v= xex x20. Determine if the area of R is…

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Q: George was required to repay a loan that matured to $4,550 on August 14, 2015

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Q: Let f(x) = log2(x) and g(x) = cosx. Give the composite fog and go f, and determine their domains.

A: The given functions are: f(x)=log2(x) & g(x)=cos x

Q: fintthe XP COS ५: टे. 8 e

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Q: For the differential equation (x? – 9)y" + (x – 3)y' + 2y = 0, a regular singular %3D point is: X=9…

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Q: 6. The equation 4 (x – 1)2 + 4 (y+ 2)? + 4 (z – 3)² = 1 represents a sphere. %3D 6.1. What is its…

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Q: Solving by variation of parameters y" – 3y' = x the general solution is: None of them c_1+c_2…

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Q: In Exercises 5 through 18, sketch the given region R and then find its area. 5. R is the region…

A: The region bounded by the lines y=x, y=-x and x=1

Q: 2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is…

A: We have to find the velocity and acceleration.

Q: The indicial equation of the differential equation x²y" + (x2 – 3x)y' + 3y = 0 about the regular…

A: Given

Q: Using the substitution x = sec 0, 2dx Jx?Vx² – 1

A: We can find the solution to the integration as below.

Q: Evaluate the permutation. 5P3 60 15 125

A: We have to evaluate permutation.

Q: The maximum value of x +y subject to the constraint x² + y² = 1 is Write in decimal form (two…

A: We have to find the maximum value of given function.

Q: Change from cylindrical coordinates to rectangular coordinates 0 =- 3 O None of the others O y = -3…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: In(x®y®) = x² +y³

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: The integral 4x dx Vx2 – 4 1 is an improper integral of typel is an improper integral of type II…

A: The given problem is solved below in detail.

Q: Ge + C2x e* + C3 x*e*

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Q: Evaluate the following integrals. 4x545 2. 3. fx Vr? - 4dx 4. S(2- sin 4r) dr

A: As per our company guidelines we are supposed to answer only first 3 sub-parts. Kindly re-post other…

Q: The following are the critical points for the function f (x, y) = x³ Зху + уз - State what…

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Q: 2x3 = (3xy + 1)2 Implicit Derivative with Solution (step by step using chain rule and product rule)…

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Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a…

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Q: Let x'y"-7xy' + 16y= 0 be an ordinary differential equation. Knowing that y,(x)=x* is a solution of…

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: What is the solution of D.E y"- 2y' = e*sinx when solved using the method of undetermined…

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Q: Using appropriate trigonometric substitution, dx xV4 - x2 is transformed to 1 S csc 0 de cos e d0 2…

A: Topic = Integration

Q: 3. Consider the parametric equations x = 1+ cos(t), y = -2+ sin(t), 0sts2M. 3.1. Find an equation…

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Q: find the y a) y= CtX_ メ

A: As per guidelines we have to solve one question Please repost other questions again

Q: Using appropriate trigonometric substitution, dx xV4 – x² is transformed to S sin 0 d0 sec 0 d0 2 2…

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Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b). If the…

A: We have to check if Mean value theorem can be applied or not.

Q: Let z= y- 4a, a u'v and y-v- 3u. Compute On kum)-(1,1) -

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Q: (a) Evaluate the triple integral dV, where E= {(x,y,z):0<x< 3, 0<y< 3, 0<z3 2). %3D (b) Evaluate the…

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Q: Using appropriate substitution, sin³ (3x)cos*(3x)dx is equal to -cos"(3x) + cos"(3x) + c - cos (3x)…

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Q: Find the ff value in the matrices. PART I IF P= A+B find the value of the following # 1 P1 # 4 P21 #…

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Q: Let u = and v = Find each quantity: a) (u)(v)  b) (u)(u)  c) (v)(v)

A: Given: u =&lt;4,-3&gt; and v =&lt;-2,7&gt;

Q: Find the limit as x approaches c of the average rate of change of the following function from c to…

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Q: Change from spherical coordinates to rectangular coordinates $ = 6. O z2= 3(x² + y²) O z2= 3(x²…

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Q: 1. f(г) — 2? + Зх — 6, д(х) %3 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: For the differential equation (x² – 3)y" + (x+ V3)y' + y = 0, singular point is a regular X=9 x=3…

A: Given

Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The first English dictionary, prepared in 1604 by Robert Cawdrey, defined 3,000 English words. In…

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Q: y= x y = I+x

A: We will find the area under the curve.

Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x² + 2)| + C…

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Q: f(x) is a functicn given by Icosxl Assume that floe) find the pourier Series for of fe).

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Q: -3 -8- -

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Q: Using two or more complete sentences, explain how to find the sum of the geometric series. n-1 4 n=1

A: Infinite gp

Q: 22. Sketch the region bounded by f(x) = Vx -1 and g (x)=x-1 AND find the area.

A: Sketch

Q: Eliminate the arbitrary constants on the given equation: y= Ae" + Bre 2y +y=0 O y =-y" + 2g

A: To eliminate the arbitrary constant.

Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: Find and classify all the critical points of f (x,y) = 7x – 8y + 2xy – x² + y³.

A: For critical points put partial derivate=0