Use the Integral Test to determinOwheher the scrie sure to show that the hypothescs of the Intogr al decreasing condition is or is not satisfied.

Q: A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8…

A: It is given that a projectile is shot from a cannon, the muzzle velocity is v0=500 m/sec at which…

Q: Consider the series Σ (x – 8)4 5- 2! (x – 8)6 25 · 3! (x – 8)8 125 · 4! an = (x – 8)² + +... n=no…

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Q: (a) Find an equation of the tangent plane to the surface at the given point. хуz %3D 10, (1, 2, 5)…

A: Given:  a)   The equation of surface is   F(x, y, z) = xyz – 10 = 0   given point =1,2,5 On…

Q: One car leaves a given point and travels north at 30 mph. Another car leaves1 hour later, and…

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Q: Given y = V/x – 2/x – 2; Find y! %3D | - O (E) None of the choices -2-1 5 2(x-2) 7 1-Va-2…

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Q: 3. Find the equation of the plane through (-3, 8, -8) that is perpendicular to the plane 7x– y + z =…

A: This question is based on finding direction cosine using dot product as two perpendicular plane is…

Q: Evaluate the volume of the solid generated by revolving the plan

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Q: Find the area of the triangle with vertices P(1,3, –3), Q(0,0,0) and R(4, 5, 1). NOTE: Enter the…

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Q: Display all powers of 2 that are less than 20000. Display the list in a properly formatted manner,…

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Q: Given: y = xcos (x); Find y". O y" = xsin (x) - 2 cos(x) %3D O y" = xsin (x) + 2 cos(x) O y" asin…

A: Formula:ddx(uv)=u dvdx+v dudxy = x cos(x)y' =x [-sin(x)] + cos(x)[1]y'= cos(x) - x…

Q: Find the area of the following triangle, OA= 40 OA=80/3 O A= 80 O A= 40/3 RI TH

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Q: Find the limit of the sequence whose terms are given by 4.9 1 Cos In =

A: Let's find.

Q: 13. dx = + C 2 6.

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Q: (-1)" Given: In(1+ x) Σ if |a| < 1. n + 1 n=0 3. Use the third degree Maclaurin polynomial of f to…

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Q: (2022) , find feua (0) (1-x3 2x given f(x) 2

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Q: An open box of maximum volume is to be made from a square piece of material, s = 12 centimeters on a…

A: We know that volume of a cuboid is  Volume (v)= length × width × height.     Here i attached the…

Q: (-1)" Given: In(1+ x) : if x < 1. n +1 n=0 1. Find the Maclaurin series for f(x) = x ln (1+ 5)

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Q: | #(In(x))" 1 dx converges and Let p be a positive number. Determine the values of p for which the…

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Q: t's important to be able to recognize limits related to "e" when you're solving problems with…

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Q: Solve using GEMPS X1 + 3x2 + 5хз + 7x4 7x1 + 9х2 + 2хз + 5х4 5x, + 7x2 + 7хз + 7x4 2x1 + 2х2 + Зx3 +…

A: This is a problem related to gauss elimination method. Based on the general concepts we will solve…

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

A: This question is based on finding the adjacent edges of tetrahedron and dot and cross product use.

Q: 1. Find the interval and radius of convergence for (x-2)" 1. Find the interval and radius of…

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

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Q: Find the coordinates (x,y) of the given angles. 1. 10n 4. 45* 5. 270 3. - Sm 6. 330°

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Q: What is the area of triangle ABC if a = 5 ft, b = 6 ft, and c = 7 ft?

A: Follow the procedure given below.

Q: 2 x+1 dx J-1

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Q: 1. Which of the following is a convergent p-series? (A) n³ n=1 n (B) 3 n=1 1 (C) n=1 3 1 (D) n n=1

A: A) ∑n=1∞ n3     Since n is positive integer⇒  The above series diverges B) ∑n=1∞13n   It is not p…

Q: d dx

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Q: Find X only using Crammers rule 2x+リ-「Z=D2 x2 -y +VZ 2 x? +2y +VN= 4

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Q: Find an equation of the plane pirpendicular to the line through (2,2,-4) and (9, "1, 3) and…

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Q: A projectile is shot from a cannon. The fixed parameters are the acceleratilon of gravity, g=…

A: We need to find time and approximation.

Q: a) Sketch a possible graph of a rational function which satisfies the following conditions: A…

A: We will sketch the graph of a rational function which satisfies the conditions:∙At least two local…

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: (a)limx→-3-h(x) =4(b)limx→-3+h(x)=4(c)limx→-3 h(x) =4(d)h(-3) = DNE(e)limx→0-…

Q: 3. Let u =x² – 2xy+2y' with x = s´ · Int and y = 2s ·t° . au au and at Find as

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Q: 4. dy – (x - y + 1)²dx = 0

A: As we know that; ∫dxa2-x2=12alnx+ax-a+C   The given differential equation is: dy-x-y+12dx=0 So, we…

Q: For the following data set, find the regression line without using a calculator. x 1 2 3 4 y 26 8 9…

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Q: Solve the following and show the complete solution. 2. Using Lagrange multipliers, find three…

A: Let x, y and z be the three positive number so,  sum of number   x+y+z=18

Q: Determine whether the series converges. 1 k + 11 k=I The series

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Q: Find the directional derivative of f at P in the direction of a. f (x, y, z) = xy + z²; P(3,4,–4); a…

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Q: 3. -2 -5 Find the va lue of Hif Xi+xdx 3.

A: 3-2-518H-134=∫03x1+x2dxPut 1+x2=yas x →0 ,y→1as x →3 ,y→2differentiate on both…

Q: 2. y = x2, y = x³ , revolved at y axis

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Q: Match the graph of f, below, with that of its derivative. -2 -1 1 2 3 4 1- -2 4 6 -4+ -3- -6+

A: This question is related to Functions and its derivative, we will solve it using given information.…

Q: Find the directional derivative of the function at P in the direction of v. h(x, у, 2) %3D хуz, P(4,…

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Q: Find two unit vectors in 2-space that make an angle of 45° with 9i + 4j. NOTE: Enter the exact…

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Q: Indicate all critical points on the graph of † in the figure below and determine which correspond to…

A: Consider the figure

Q: Find the exact arc length of the curve over the stated interval. y = 7x2/3, from x = 1 to x = 8…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: The given function whose maxima or minima are to evaluate is: f(x,y)=xy with the constrain…

Q: dv v2

A: Use the basic properties of integration.

Q: 2 f-2 xLo if where 14ーx2 if oLx 42 4 -x² if OL x -2

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Q: Find an equation of the plane through (-8, 6, - 6) that is perpendicular to the planes 9x - y + z =…

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