1. Find the limit of the following: ** - 11х* +37х* +6х' - 297х +621x - 405 x* - 11x* +47х* -114х* + 243х*- 459х +405 A. lim 4+2"* В. lim, 3+2"*

Q: 12. Use the factor Hheveto determine whether x-C Isa fultol. offd.

A: (11). The given function is: f(x)=x4+8x3+12x2 ;       x+1

Q: A. Write T if the statement is true; otherwise, write F. 1. f(x) =, lim f(x) = f(2) 6+4t 2. lim t-3 ...

A:

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e*- cos x and passes t...

A:

Q: Find The Area Enclosed by the Curve x=7²-2t,y-VE and the Y-pris

A:

Q: л- 25х — х? — ху - 2у? + 30у - 28

A:

Q: Given points P(2, 4, 3) and Q(1, -5, 2) in the rectangular coordinate system. What is the resultant ...

A: Given points P2,4,3 and Q1,-5,2  in the rectangular coordinate system.We need to find the resultant ...

Q: if f(x)=4x^2+7x+6, find the equation of the line tangent at x=-2

A:

Q: valuate the integral below along the path C. (Give your answer correct to 2 decimal places.) | (2r –...

A: The detailed solution is given below Thank you  The final answer is -101.48

Q: 2. What is the egnation of a line to Seyment from = <8,0,47 to P =<-5, 2 17 .

A:

Q: a) Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to an is...

A: Given: Queen Beyoncé's yacht will be leaving from Port Destiny and traveling on a straight line to a...

Q: Find the value of k so that the value of (2x - 1) dx is 4. A 2 B) 5 c) 4 D) 3

A:

Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D U...

A:

Q: nj 00 Write out the first five terms of the sequence with, |(1 – „4)" determine n+4 n=1' whether the...

A:

Q: Prove the following indentity. - 1 attachment - sece sine = cot0 sino cos0

A:

Q: Let F(x, y) = 1+ 4 – y². a. Evaluate F(3,1). b. Find the domain of F. c. Find the range of F.

A: Given:

Q: 4. Show that In x lim x→1 x – 1 1. (Hint: Note that In In x-ln 1 x-1 and interpret the limit as a de...

A: Given: To prove that limx→1 ln xx-1=1 using the limit as a derivativeFormula: f'(a)=limx→af(x)-f(a)x...

Q: Determine the equation of the curve whose tangent line at any point (x, y) is e* - cos x and passes ...

A: We have to find curve

Q: g(t)=4t^3+3t^2, find g’(3)=

A:

Q: Find the ABSOLUTE VALUE of the gradients of the tangents drawn to the ellipse x^2/4+y^2/93D2 at the ...

A: We have to find absolute value of gradient at x=2 for the given function.

Q: 1 x-1, 2 x 0 Is f(x) continuous at x = -4? O a. Yes, the limit from the left-hand and right-hand sid...

A: Check the countinuity of the function at x=-4 .

Q: 1. How many terms are in the binomial expansion of (x + y²)14? correct number of terms)

A:

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line. Functi...

A: Slope will be same and there will be 2 equations. 

Q: The price-demand equation and the cost function for the production of a certain product are given, r...

A: The revenue function, R(x)= xp(x), where x is the number of units sold and p(x) is the price functio...

Q: Write out the first five terms of the sequence (-1)" n-1 determine whether the n2 n=1 sequence conve...

A:

Q: do not evaluate)  When finding the volume generated by revolving y = 2 − x^2 and y = x^2. JUST Set ...

A: Given: y=2-x2y=x2

Q: cosx+2sin x)ʻ dx sin x

A:

Q: Determine whether the integral is convergent or divergent. 1 5 dy 4y - convergent divergent If it is...

A:

Q: 12 | g(t) dt = 30 4. 9(7) V3 9(12) = 4 12 g'(x) Evaluate: dr = 16 + (g(x))²

A:

Q: Evaluate J (sin t + 1)-1 dt

A:

Q: 7. (1+x*)dy + x(1+ 4y®)dx =0

A:

Q: find the directional derivative for z=2xy-3sqrt(xy) at point (1,1) in the direction of point (3,2). ...

A: Directional derivative is same as rate of change in that direction

Q: If ã = <!,2,37 and b=<5,0 -17, find the vector pojection of %3D %3D ŏ onto à.

A:

Q: Find the lim and lim of cos(2x³). 0--x

A: The solution are next step

Q: che general solution of -V - 6y = 6x3 + 26 sin 2x

A:

Q: Answer the given problem. Write your solutions and final answers on the given answer sheet. x2+4x+4 ...

A: Limit of function

Q: Write an equation of the tangent line to the curve f (x) = 3//a + 8x at the point (4, f (4). Upload ...

A: We have to calculate slope of the tangent

Q: Find the value of the line integral given below. (Give your answer correct to 2 decimal places. Hint...

A: Given: F(x,y)=yexy i+xexy j

Q: S: +3 What is the antiderivative of dx ?

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes ...

A: Solution is written in below steps.

Q: You have a wire that is 86 cm long. You wish to cut it into two pieces. One piece will be bent into ...

A: We need to find length of wire that will be bent into square.

Q: The cost (in dollars) of producing x units of a certain commodity is C(x) = 9000 + 6x + 0.3x². (a) F...

A: We will find the average rate. 

Q: n! %3D an 2n

A: We have to check weather the given sequence is increasing, decreasing and neither in nature.

Q: Find the open intervals on which the function f (x) = x + 6v4- r is increasing or decreasing. If the...

A: Solved below

Q: Suppose we need to find an equation of the plane that passes through the line of intersection of the...

A: Since, we know that equation of a plane passing through the intersection of planes P and Q is given ...

Q: f(t)=16t^2-64t, then f’(t)=

A:

Q: 2. Consider M(x, y) + N(x,y) · = 0. (a) Suppose we can find a function F example of such an equation...

A:

Q: 4. A metal is heated up to a temperature of 5000C. it is then expose to a temperature of 380C. after...

A: (4) Given that , Initial temperature = 500°C T0=38°C After 2 minute temperature = 190°C Evaluate whe...

Q: Find the general solution of = 0 y" – 2y"' + 10y":

A: Given: y(iv)-2y'''+10y''=0To find the general solution of given differential equation:General soluti...

Q: Use Newton's method to obtain the third approximation, x,, of the positive fourth root of 8 by calcu...

A: Hence, the third approximation is x2 = 2.16

Q: lim, 5 f(x) = 2, what is the value of 2 lim, 5[f(x)]° ? О а. 6 O b. 12 c. О с. 8 O d. 16

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...