Use any method to find the relative extrema of the function f (x) = x +11r – 9. If there is no relative maximum or minimum, indicate that using the check box. . NOTE: Enter the exact answers. f has a relative maximum at the point (?, ?) No relative maximum f has a relative minimum at the point (?,?) No relative minimum

Q: 2n (b) E ens n=1

A: Find the limit of the given equation at infinity

Q: 4. Use f(x) = x² - x, g(x) = 2x - 1 and h(x) = x + 3, determine g(f(x)). %3D %3D

A: This question can be solved using the concept of composition of function.

Q: machine is rolling a metal cylinder under pressure. The radius of the cylinder is decreasing at a co...

A: Explanation of the answer is as follows

Q: What is the equation of the tangent line of y= -2x + 5 at any point? A. y = 2x - 5 B. y = -2x + 5 C....

A: Given y = -2x + 5

Q: Consider the parallelepiped with adjacent edges u = 5i + 5j + k v = i+j+ 8k w = i+ 5j + 7k Find the ...

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Q: Find the area of the region bounded by the curves, y = -6, y = 6 , the y – axis and the parabola y2 ...

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Q: Find the volume generated by revolving bout the line x -1 the area bounded by (y + 2) = 4(x + 2) and...

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Q: Evaluate the following limits. 1. lim(1+ Vw)(2–- w² + 3w*) w+1 12 - 1

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: A F(s). s2 + 4 1 B F(s) s? + 2 1 ©F(s) S - 2 DF(s). S + 2 S E F(s) s2 + 4 S - 2 FF(s) = (s - 2)2 + 4...

A: Question-  Find the inverse Laplace Transform of the given function-  f(t) = cos (2t)

Q: Find the area of the triangle with vertices P(1, 4, –4), Q(0,0,0) and R(4,6, 1). NOTE: Enter the exa...

A: We know that; The expression for the area of the triangle △PQR is; A=12PQ→×PR→   The given vertices ...

Q: Evaluate the integral using the following values. 6 dx = 260, х dx %3D 10, dx = 2 4 4 "x³ dx

A: Given query is to find the value of the integral.

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: dy If y = x. 5* then dx

A: To find the derivative of the given function.

Q: A cookie jar contains 10 cookies - 4 are chocolate chip, 3 are almond, 2 are oatmeal and 1 is a high...

A: Answer -  Total cookies = 10  Chocolate chips = 4 almond = 3 oatmeal = 2  high fibre cookie = 1

Q: A cold drink initially at 38°F warms up to 42°F in 2 min while sitting in a room of temperature 69°F...

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Q: Find the directional derivative of the given function at the point P in the direction of vector u . ...

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Q: Find the average distance from the origin of a point between the two spheres x ^ 2 + y ^ 2 + z ^ 2 =...

A: We have to find average distance from origin of a point between the two given spheres. 

Q: Which of the following is true for the interval (2,0) for the graph of fAx) shown below? 5+ 4 3 -5 -...

A: This question can be answered by considering the slope of tangent at any two points in the given int...

Q: the Cartesian coordinates of (2, -7/3). Then plot the point. I=r cos 0, y = r sin 0

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Q: first prove that ()" <n! < ()" forn2 6.

A: We will prove                        n3n≤n!≤n3n for n≥6.

Q: Find the coordinates of the centroid of the solid generated when the smaller region bounded by x? + ...

A: Given equations are:  x2+y2-2ax=0x+y=2a   The bounded region is rotating about the line x=0.

Q: Let a = ci + jand b = 4i + 3j. Find c so that the angle between a and b is Round your answers to fou...

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Q: 3x 3. lim х-0 sinx

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Q: Original Integral Rewrite Integrate Simplify 9 dx dx 9 + C (4x)5 1024 1024

A: Topic = Integration

Q: 8. What is dx (x2+8)3 9. What is {(Sin (tan (x*)} dx dy 10. What (x -2x +5)6 dx =一

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Q: ха + ах — 2bx -2ab — х3 — 2ах* — 2bx? x* + ax³ – 2bx³ – 2abx² dx

A: Given integration is: ∫x2+ax-2bx-2ab-x3-2ax2-2bx2x4+ax3-2bx3-2abx2dx

Q: 5. Suppuze that.the..are..a.regian.is 2 SinG 3T/4 rdrd@..sketch. the.vego.and. T/4 find the.al.RMa.

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Q: Determine the set of points satisfying the condition described by Iz – 2i| + |z + 4i| express in the...

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Q: 11. Which model seems most appropriate for this scatter plot? a. linear b. quadratic c. exponential ...

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Q: Use a double integral in polar coordinates to find the area of the region. The region inside the ci...

A: Question- Use a double integral in polar coordinates to find the area of the region.   The region in...

Q: 5. The amount of a certain drug in a persons blood t minutes after admin- istering the drug is given...

A: To find out the time it takes for the drug level in the bloodstream increasing. 

Q: A solution composed of 50% ethanol (EtOH), 10% methanol (MEOH), and 40% water (H2O) is fed at the ra...

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Q: Find the following limit algebraically if it exists. Write DNE if the limit does not exist. Show all...

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Q: Зх-1 13. f (x) = ;(-1,6] х2—7х-8

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the provide...

A: we need to find the vectors that satisfy the given stated conditions.

Q: Determine whether the series converges or diverges. +00 2n + 2 Vn3 + n2 + n n=1

A: Given query is to find series converges or diverges

Q: Original Integral Rewrite Integrate Simplify dx 9. X + C dx

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Q: Use the Root Test to determine if the series converges or diverges (-1)"2* (-1)"2ñ zuć en? (2n2 – 1)...

A: Given problem:-

Q: For a week, a clothing company tracks the amounts spent by its customers, with the results shown to ...

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Q: | xf(x2) dx. If f is continuous and f(x) dx = 4, find

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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: This question can be solved as per the instruction given.

Q: Sketch y=(x^2-9)/x+3

A: Sol:- y=(x^2-9)/(x+3)=(x+3)(x-3)/(x+3)=x-3 so y=x-3 put y=0 x-3=0 x=3 (3,0) put x=0 y=0-3=-3 (0,-3) ...

Q: Find the vector component of v = (4, - 1, 7) along b = (2, 3, -6) and the vector component of v orth...

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Q: Find the indefinite integral using a table of integration formulas. 2) SV25X2 + 100 dx

A: Given: - The indefinite integral is, ∫25x2+100dx To find: - The solution of the given indefinite int...

Q: Jestion 1, Container with the volume of 750cm' . Determine the dimensions of optimal shape for each ...

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Q: Given the function s(1) = 8

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Q: 12 Find the area under the curve y = over the interval [ – 1, 1]. (x + 2)² area = i

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Q: Consider the points A(1, -2, 4), B(2, -4, 1), C(-1, -3, 1), and D(3, 1, -5). (a) Find the volume of ...

A: This is a problem related to vectors. Based on the general formula of volume of parallelepiped we wi...

Q: (c) Same direction as the vector from the point A(-1,0,4) to the point B(4,3, 3). 1 i + 2 w = k - 6.

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Q: since dv=adt the v-t graph is determined by differentiating the straight line segment of the a-t gra...

A: Explanation of the answer is as follows