a) Is the series Σ is Vn + n3 + 10 n=1 convergent or divergent? justify your answers. 8.

Q: Identify whether the statement represents an exponential function. The value of a coin collection…

A: Rate of value increased=3.25Time=20 years

Q: a is the value that will make the equation exact. Fincd 2a -a?. 2xy3- 3y - ( x tax²y² - 2ay) y'• O

A:

Q: (a) Sketch a graph of a function f such that: o f' 0 and f" > 0, for x > 3. (b) Does the graph of…

A:

Q: Find the min and max values of the function f(x) = x^8/3 − 16x^2/3 on the interval [-1,8].

A: Given, f(x)=x8/3-16x2/3

Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: Find g(x) given that g'(x) = cos x and g(π/2) = 4.

A: Given; g'(x) = cos x and g(π/2) = 4.

Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x' –1=0. Graph…

A:

Q: Given the curve y = x' and the line y = 4x in quadrant 1 M Find the moment of R with respect to the…

A:

Q: 8^(4x-12)=4000000

A:

Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…

A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

Q: Let D be the solid unit cube: 0 < x < 1, 0 < y <1, 0 < : < 1. Let S be the closed surface boundary…

A:

Q: 8 +3 dx Vx2 + 36 t,

A:

Q: DUseThe Runge-Kutta Method SoNe the: dy X(i+メ)yco)=3 hこo.2

A:

Q: Let A = {10, 8, 3, 5, 7, 9} B = {6, 8, 5, 1} and U be the universal set of natural numbers less…

A: A = {10, 8, 3, 5, 7, 9} B = {6, 8, 5, 1} U={1,2,3,4,5,6,7,8,9,10,11} Now, A'=U-A…

Q: (b) Find a formula for the area of a cross-section of S in the plane perpendicular to the y-axis at…

A:

Q: Describe the end behavior of the graph of the function f (x)=-5(4)" – 8 For o0, type in the word…

A:

Q: Question 1 (a) Use the Second Derivative Test to find the local extreme values of the function f(x)…

A: 1. (a) We analyze the following function with the second derivative test: f(x)=(x3+8)4 Now we find…

Q: PROBLEM. dz dz and dy 1. Suppose z is a function of x and y, and tan Vy² + x² = z®e©y. Solve for %3D

A:

Q: 3 Given the curve y= x and the line V= 4x in quadrant 1 Find the area of the region bounded by the…

A:

Q: Find k such that the vertical line =k divides the area enclosed by y= Vx y=0 and x=5 into equal…

A:

Q: f(x+h)- f(x) 4x3+9x+5 Using lim0 Find the slope of the tangent line y = Зx-8 h at x = -1.

A:

Q: Q2 Find the area of the regien bounded by the following curves -4x . y? = 3 - x and y = %3D

A:

Q: Find the area under the graph of the function over the interval given. 13) y =ex; [-9,4] A) e 13 B)…

A: We can find the area as below.

Q: Write the negation of a Statement: 1. All school gates are open. 2. The students are wearing their…

A: For Negation use words like if something is happening then in negation use not  If all are used ,…

Q: 5) Determine the following indefinite integral cos (3x) (1 – sin(3x))(2 – sin(3x)) -dx

A:

Q: 3. Given z (1- i2), find z-1 4. Let w = f(z) = 2iz + 67, find u and v and the value of fat z =+41…

A:

Q: A fire truck is to be added to a certain district.  Which district should get the fire truck?…

A:

Q: L(sin² at)

A:

Q: Points A andB are separated by a lake. To find the distance between them, a surveyor locates a point…

A:

Q: To find a particular solution for y" - 36y = 44 sin(21) %3D with the method of variation of…

A:

Q: 1 dy J yi + 3y² + 1

A:

Q: If the temperature of the tea looks like the following, do you expect L(1.5) to be an overestimate…

A: A hot cup of tea has temperature T1=198°F, one minute after it has been sitting on the dining table.…

Q: is no solution for p

A: D.

Q: (s-20) L-1 Is²-9.

A:

Q: S 2æe3= dx ,3z 9.

A:

Q: EXERCISE 2 Consider f(x, y) = 3x² – 4y² and = = cos T î + sin 7 ĵ. Use the Theorem above to find the…

A: This is a problem related to vector calculus. Based on the general formula and concept we will…

Q: Work Problem 1 ( Consider the function f(x) = x4 + 2x3. (a) Find the x- and y-intercepts of the…

A: As per guidelines, I can answer only one question and maximum three sub parts of a question. Since…

Q: Consi der the lines : = 2 – y = z+1l and l2: , = y - 2 = 1. Determine a direction ve ctors for the…

A: Given l1      x-12=2-y=z+1l2        1-x2=y-2=z-33

Q: angles d. greater than either remote interior angles 2. The two sides of a triangle has lengths of 7…

A:

Q: Let D be solid cone /x² +y² <:<1. Use CYLINDRICAL COORDINATES and find the mass if the density is ô…

A: To find the mass .

Q: log-(cot 1x) lim 1- cosh(2*)

A:

Q: Find the volumes of the solids generated by revolving the regions bounded by the graphs of the giveN…

A:

Q: Estimate f(x) = 2x2 the area under the graph of the function from x = 2 to x= 19 by a Riemann sum…

A:

Q: If cos e = and tan e < 0, 25 what is the value of csce? 25 24 A B 24 25 24 25 C D 25 24

A:

Q: Julissa wants to find the measure of ZA in A ABC. Step 1: 11 = 7? + 9 - 2·9.7.co COS X Step 2: 121 =…

A: A detailed solution is given below

Q: point 50 meters closer to the building, the angle of elevation is 31°. Approximate the From a…

A:

Q: The intensity levels I of two earthquakes measured on a seismograph can be compared by the formula…

A: Just use input given and calculate I1/I2

Q: What is the absolute minimum value of the function f(x) = x³ – 3x2 on the interval [-1, 4] ? а. 16 O…

A:

Q: For the function: f(x) = 2sin (G) on the interval [0,4Tt], find: Relative max = (t,[ ? ]) Relative…

A: This is a problem related to maximum and minimum of the function. Based on the general formula and…

Q: Find the asymptotes of the functians and skerch theem *-1 2. Y -3

A: