(d) VT tanr - 2 V lim /4 VT x(4x – 7) Hint: divide both parts of the fraction by VT x and represent the limit in terms of the derivative of some function at some point.

Q: 9x + 2y ah ah For the function h(x,y) find and ху— 10 ду ah ah ду

A:

Q: Use any method to determine whether the series converges or diverges. 00 (6k)! k=0 O The series conv...

A:

Q: 6 du dx. Transforming the integrand, the result will be k , where k is a constant. What is u and k? ...

A:

Q: The following diagram shows a sketch of a curve with equation y = f(x). The points A(-3, 0), B(0, 0)...

A:

Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventua...

A:

Q: Determine whether the given series converges or diverge E3n°4-n n=1

A: solution:-∑n=1∞3n34-n an=3n34-n an+1=3n+134-n+1 Ratio testL=limn→∞an+1an=limn→∞3n+134-n+1 3n34-n =li...

Q: Find the nth Taylor polynomial for the function, centered at c. 1. f(x) n = 4, c = 3

A:

Q: Is the series convergent or divergent? Prove in no more than two sentences. +oo 1 n=1

A:

Q: Solve the equations: 8х - 2у - 13 -2x +5y- 8.

A:

Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x -please answer sub part c,d,and e...

A: According to question,Given Function,fx= x23 -12

Q: Find the solution of the following Differential Equations 2) (xdy – ydx)/x² = 4) 2.x In(y)dx+ yx'dy ...

A:

Q: Given: -dx. Using u-substitution and transformation of integrand, what is u and du? 3Vx - 2x A) u = ...

A: The given integral is 5/[3√x -2x].

Q: 8-2х (f) lim- нх* — х—12

A:

Q: Let U = {1,2,3, 4, 5, · … · , 10} A = {2,4,6, 8, 10} B = {3,6,9} C = {1, 2,3, 8, 9, 10} perform the ...

A:

Q: b. Recall that f(x) = 2*-1 - 1. Graph of f,(x) = f(-x) + 2, f2(x) = f(-x+ 1) +1, and fs(x) = fi(x) +...

A:

Q: 2. Find the equation of the tangent line to the curve at the given point by eliminating the paramete...

A:

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

A:

Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

A:

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A:

Q: 1. Consider the relation R1: R R2 such that (r1, y1)R1 (x2, y2) if and only if both points are on th...

A: We are given a relation  R1: R2  -> R2  such that any (r1, y1) , ( x2, y2) ∈ R2 are related to ea...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A:

Q: Please see the attached image to see the given. thank you  (a.) the critical numbers of f (b.) all ...

A:

Q: cot (2x) dx . V cot2(2x) – 15 Evaluate the integral csc (2x) -Arcsec 4 A +C 4 O - - In [cor (2r) + V...

A: This question can be solved using the concept of integration by substitution and some special integr...

Q: 5. S 5u³ In 4u du

A: Note :- These are the multiple questions and according to company guideline we can maximum one quest...

Q: 6 (а). Let f be a differentiable function with f(0) = 1, f'(0) = 2. f (x)+f(2x)+ f(3x)- 3 Find lim

A:

Q: Question 7 Consider the integral dx . Using u-substitution, what is the appropriate u and du? -2x 2e...

A:

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer. 

Q: 5. Find the centroid of the solid formed by revolving the area between the curves: y? = x and y = 2 ...

A:

Q: 2) y'+2xy = 0

A:

Q: 8. What is de x2+1

A:

Q: 2) An agriculturist wanted to plant seven different organic crops in a small field. To properly stud...

A:

Q: 3. Find all values of a, b, c so that the following function is continuous for all values of x x-1 s...

A: Please see the below picture for detailed solution. 

Q: B. Prove that the given equation is a solution to the given DE: 5. x= 2t + C; y = Ct + 3 ; 2(y')2-xy...

A:

Q: Using u-substitution, the integral f(x)dx Srwax u+1 reduces to a new integralg(u) du. If g(u) = , ev...

A:

Q: 4 x4 differentiable at x = 4. Is f continuous at x = 4?

A:

Q: d?y Find dr2 for the functlon: .3 3x +4x y=x

A:

Q: f(x) =(x^2/3 − 1)^2 -Take note that the 2/3 is the exponent of x (c.) the intervals on which f is ...

A: Given problem:- f(x) =(x2/3 − 1)2   (c.) the intervals on which f is increasing or decreasing (d.) t...

Q: Problem Set A (1) For the function f(x)=1- 1x+2 find the following: (i) f(-x) (ii) f(x +k)

A:

Q: A. Consider the following conditions to find the equation of the line. Express the equation in gener...

A: Dear user, According to bartleby guidelines when student post multiple subpart question then expert ...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

A:

Q: -1-0. 1) Write f(x). 3) Find D & R 4) Sketch f(-3t+3) 5)Find D & R for the function of point 4 2)Fin...

A:

Q: Assume that g(x) is a function given by 2.x? + 3x +2 g(x) = x² + 2 Prove that g(x) is bounded for al...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: First we find radius of convergence. Then find interval of convergence. 

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the b...

A:

Q: f(x)= (x-2)/(x^2-x+1)^2 (a.) the critical numbers of f (b.) all relative extrema of f (c.) the inte...

A: To find (a.) the critical numbers of f(b.) all relative extrema of f(c.) the intervals on which f is...

Q: b. Recall that f(x) = 2*-1-1. Graph of fi(x) = f(-x) + 2, f2(x) = f(-x+1) + 1, and fs(x) = f,(x) + f...

A: The given function,          fx=2x-1-1

Q: the weight of an object to its volume. re Density.

A:

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel. |

A:

Q: show that for positive epsilon, |x-4| |3x-12|<e

A: a⇔b implies if a holds then also b holds and vice versa.

Q: The diagram below shows points P, Q and R. The coordinates of the points are given by P (2), Q(5, 6)...

A: Distance between the points P(x1,y1) and Q(x2,y2) , D = (x2-x1)2+(y2-y1)2 .