Determine the limit of the sequence or state that the sequence diverges. 2 +n - 4n2 9n2 + 9 an = (Use symbolic notation and fractions where needed. Enter DNE if the sequence diverges.) lim an =

Q: rection: Read then solve the question carefully. Click the letter of the correct answer nd the deriv...

A:

Q: Given: f(x) = x + Vx; xo = 1 a) Find the instantaneous rate of change of y with respect to x at an a...

A: NOTE: Refresh your page if you can't see any equations. . to find the instantaneous rate of change,...

Q: Let f(x) = (r' - 5z)" and g(z) = 20z + 10. Find g(f(x)). O 20(- 52)+ 10 o (20z + 10) ( - 5x)*) (x) O...

A:

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: Limits and functions

Q: Given: y" + y = secxtanx а. Find ye b. Find u’1 & u'2 с. Find u, & u2 d. Find yp е. Find a general s...

A:

Q: Find an equation for the tangent line to the curve at the given point. Then sketch the curve and the...

A:

Q: 1) S xe²*dx 2) S(2x + 9)e*dx 3) S xcos(4x)dx 4) Se-*sinxdx 5) Sx² Inxdx

A: Integration by parts is used when product of two functions has to be integrated as mentioned below ∫...

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ 7k-1 k=1 1) This series can b...

A:

Q: 3) Given f(x) = 3x • 5x and g(x) = 7x², is the following true? Explain your answer. %3D %3D d[f(x)

A:

Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6 ...

A: Differential equation 

Q: Plot the following function as a 3D plot: (x + y)* + (x – y)² - f(x, y) = 2(x + y)² 4

A: Plot the function:f(x,y)=2(x+y)2-(x+y)4+(x-y)24

Q: I want answer for C onl

A: Given, z5=1

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: First we simplfy the given function then derivative 5 times with respect to x.

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. k 1 Σ 6ln k k=...

A:

Q: Find the derivative of y with respect to t. 1 y3D cot dy dt %3D

A:

Q: D^(3+1) (D-2)^(7+1) y = 48e^2x

A: Put D=m then solve it. 

Q: Find dy. y=2 In (2+x') dy = D

A: y=2ln(2+x3)  

Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: Function continuity and differentiation  Drichlet conditions 

Q: -Sx-2x+4 d. lim x-9x+1 e. lim xo 3x2-2x-15 x249 f. lim 0 2x+2x2-3

A: Limit   If a constant number is decided by infinity then it will tend to zero .

Q: Test the series below for convergence using the Ratio Test. 97 n! n=1 The limit of the ratio test si...

A:

Q: 3. sin 0+sin 0 tan² 0 dº sec20

A:

Q: xy' + y = x³y³ Inx

A: This question is related to differential equations, we will solve it using given information. 

Q: 4. Which of the following is logically equivalent to (p V¬q)^(¬p V-¬q) ^(¬q Vr) а.)p b.)q с.) —р d.)...

A:

Q: 4 x 5 y = a -3 x 4 y %3D - y =

A:

Q: 0. The equatIon of the Tamily of straight ines with y-intercept and Sope equar is 7. The function (x...

A:

Q: -7 -4 A = -12 -3 -12 8. 50 has 1 = -3 as an eigenvalue with multiplicity 2 and 1 = 1 as an eigenvalu...

A:

Q: Homework: % / Sketch the graph of the following curves by shifting, reflecting, shrinking and stretc...

A:

Q: dy 1 6y'z da y (1) = = 25

A:

Q: Find equations of both the tangent lines to the ellipse  x2 + 7y2 = 63  that pass through the point...

A: consider (x0 ,y0) be an any point on ellipse 

Q: Solve the initial value problem: (y² – y³)dx + (1 + 4xy – 4xy²)dy = 0, y(÷) = 2.

A:

Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

A: 7). Given: D4-81y=0 So, The auxiliary equation is: m4-81=0

Q: the absolute maximum and minimum values of the following function on the given interval. If there ar...

A: Find your answer below 

Q: At noon, ship A is 130 km west of ship B. Ship A is sailing east at 30 km/h and ship B is sailing no...

A:

Q: Let f (z) = z+3 . We will use the definition of derivative to find the derivative of f (x). (1) What...

A: As per guidelines we can solve only three subparts at a time, So the first three subparts can be ans...

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)...

A:

Q: What is the coefficient of xk in 1+x+x4 divided by (1-x)5 ?

A:

Q: y = Ce-2 + C2e3*

A:

Q: For what values of x does the graph of f(x) = ex3 – 8x² + 15 have a horizontal tangent? X = (Enter y...

A:

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is giv...

A:

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: To find :The differential equation of the family of plane curves described.Draw at least three membe...

Q: Find the the solution to the following system of equations using the Gauss-Jordan method: x - 2z = 0...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is 

Q: Tell if the function is continuous at given interval f(x)=; 2x +4 |-2,2]

A:

Q: 3. Which of the following is logically equivalent to [(-p V q)^(¬p Vg) ^(¬p Vr)]→[[p V q)^(-p vq) ^(...

A:

Q: SOWE THE DIFFERENTIAL EQUAMON (2xy+ xIn 3x)dy + (x ty) d (x ty) dx = 0 when x = 3 y= 2 %3D

A:

Q: Prove that there is a mapping from a set to itself that is one-to-one but not onto iff there is a ma...

A:

Q: (y-cos²x)dx + cosx dy = 0 %3D

A:

Q: (6)The radiusr of a circle is increa sin g at the rate of 8 per minute. ст Find the rate of change o...

A:

Q: Answer 5,6,7 5.If y=(2x+7)2 , then what is  dy/dx? A.dy/dx=2(2x+7)  B.dy/dx=2 C.dy/dx=4x  D.dy/dx=...

A: Differential equation 

Q: Find fr and f, for f(x, y) = 3x³ + 4x²y+ 4xy² + y? Select one: O a. fa = 12x? = 9x? + 8xy + 5y², = 9...

A: Given -  f(x,y) = 3x^3 +4x^2y + 4xy^2 + y^2 To find fx and fy.  

Q: Identify what law(s) are being used in each step: (p ^ q) → (p V q) (p A q) → (p V q) =T = - (pA q) ...

A: