x+2 lim sin - x+6x+8 3 2.

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find the…

A: Given

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A: Use the integration to find the net area and area bounded by the given region.

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A:

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A:

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A: Given: a)4+72b)236c)112510716

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A:

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A: lim  ln(x-2) x--2+ here we can direct apply limit  ln(2-2) = ln0 =  INFINITY

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A:

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A: see below the answer and explanation

Q: 9) Determine the Convergence fue series dirergonce of It Anyuners a) conneryes 5) diverges 9 Theorem…

A:

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A:

Q: Evaluate the following integral using the method of partial fraction. (6x²+ 41x + 110)dx b. S (x +…

A: Given:     ∫6x2+41x+110x+2x2+10x+29dx Perform partial fraction decomposition:

Q: Let f(x)=x^3-2x^2-4x+104 on the interval [0,3]. A. Find all crirical numbers of F(x) inside [0,3]…

A: We have to calculate absolute maximum and minimum.

Q: Dis bounded by the planes y 0, y 2,x=1, z=0 and z =(3-x)/2. Evaluate the triple integral with order…

A: Given Dis bounded by the planes z=3-x2,y=0,y=2,z=0 and x=1

Q: (6) At the start, an experiment records 1 gram of bacterial culture, and the culture's weight is…

A: In logistic growth, a population's per capita growth rate gets smaller and smaller as population…

Q: Evaluating a Limit In Exercises 13-44, evaluate the limit, using L’Hô pital's Rule if necessary. 14.…

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Scalar Projection of AP on AB is defined as AP→.AB→AB→

Q: Differentiate the following using logarithmic differentiation. Vcos? x*(x-1)3 3. y = %3D (x+vx)

A:

Q: An object hangs from a spring balance. The balance registers 36 N in air, 25 N when this object is…

A: given

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A:

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A: Let's find.

Q: 7. * In [In (In æ)]

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Q: Question 1 Consider the following IVP: x" - 4x' + 4x 4e2, x(0) = -1, x'(0) = -4 Find the general…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the angle 0 between the vectors in radians and in degrees. - co) + sin() = cos 4 u = cos i +…

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Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

A:

Q: Use the Laplace transform to solve the given integral equation. f(t) + (t – t)f(t)dr = t 1 f(t) = s“…

A: Hi! The answer to the solution was f(t)=sint. You have entered the answer incorrectly.

Q: Use x = au, y = bv to show that the area of the ellipse x2 y? = 1 is rab. 62 a2

A:

Q: 6 Use a trigonometric identity to find cos (x - - ) if sin (x) = (Express numbers in exact form. Use…

A: Use trigonometric identity

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A:

Q: 3. Find asymptotes, intercepts and graph. 4х -8 f(x) = X +1

A: Solve the following

Q: 5, i, Evaluate the first and second derivatives of the function z=2x4+3x3+2x-5 when x = 4. ii, Find…

A: The objective of the question is evaluate area and find derivatives of given functions.

Q: 164 24 7. 8. 88

A: Given

Q: Qi: The dimensions of a rectangular region are varying with the time (t) according to: L = 2t2 -8…

A: Consider a function y=f(x)  Then f '(x) is the rate of change of y with respect to x.

Q: Find the value of § cot³(x) cosec“ (x).

A:

Q: Use a trigonometric identity to find cot ( - x) if tan (x) = 8. (Express numbers in exact form. Use…

A: Topic = Trigonometry

Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find all…

A:

Q: -1/4 4. J1/12 Je+atvE 2 dt

A: This question can be solved using integration by substitution.

Q: Consider the following. u = -9i - 2j - 4k, v = 4j + 4k (a) Find the projection of u onto v. -3j – 3k…

A: The given vectors,u=-9i-2j-4k, v=4j+4k

Q: Please complete the question. How do I check the answer.

A: Apologies for the inconvenience.   We can check the answer by multiplying the matrices. We will…

Q: Evaluate the following integral using trigonometric substitution. хах а. Vx2– x – 1

A: To evaluate the following integral using trigonometric substitution.∫x dxx2-x-1

Q: 5. Use L'Hospital's rule to compute the following limits (a) lim a In(x) (b) lim sin(z) (c) lim…

A: Here are the solutions: We will use L'Hospital rule and differentiate the numerator and denominator…

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Q: 3. Find the Volu me oF the (olid generated by revoluin g ab out the y-axis the region bounded the…

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Q: x = -4 + t, y = 2t, z = 7 + t (a) (0, 8, 11) O Yes O No (b) (4, 5, 9) O Yes O No (c) (-6, -4, 5) O…

A:

Q: 1. Given: 7- 4r S(x) (z+2)² ' with f'(x) = (z + 8)(z= 2) and f"(z) = 8(7x – 4) (x+2)³ (z+ 2)* * e.…

A:

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Q: Find the area of the triangle with vertices P(1, 2, –3), Q(0,0,0) and R(3,4, 1). NOTE: Enter the…

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Q: representation for f(x). "(n+1) (n+2)! Lat f(r) dr = 2.

A: