Q2) Find : (a) lim (2 + x) x-4+ 16-x 1-secx 0 sinx cos2x sintx (b) lim (c) lim (d) lim x-0 sin2x cos2x 4-x X cosx-sinx

Q: sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4 s2 =  s3 =  s4 =  s5 =

A: A sequence is defined recursively as sk = sk-1 + 3k  for k ≥ 2. s1 = 4

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If it d...

A:

Q: For the given p-series, identify p and determine whether the series converges. k=1 5/4 . Therefore t...

A: ∑k=1∞k-54 

Q: Q2) Find the distance between the line (y=x+4) and the center of the circle (y+x-4x-4y%34)

A: A detailed solution is given below.   (As per our guidelines, we have to solve only 1st question)

Q: Use transformations on the basic function listed below to write a rule y=f(x) that would produce the...

A:

Q: Find a polynomial of degree 3 that has zeros – 1, and 2 such that the coefficents are integers 2'

A:

Q: 6. Let a be a real number. Consider the series where an = cos(n7); 2n + 1 n=0 (a) Is it possible to ...

A: Given: α∈ℝ,  the series ∑n=0∞ an;  an=cos(nπ) αn2n+1

Q: 7. Use appropriate formula of geometry to evaluate the followings. L(lx – 3| + V36 – x²)dx b. L(2x +...

A:

Q: Find a vector field F such that curl F = 8 i – 7j + 4 k. [Hint: Try F = T × 7 for some vector V ) °F...

A: Yes, there is a method to directly approach the answer with out just cross checking the options.

Q: Solve the inequality. Write the solution set in interval notation if possible. 1-x x+5

A: topic  -  inequality

Q: Given the function s(x) and the following information: 1. s(-7) = 5 2. s'(x) > 3 on [-7, 2] Which of...

A:

Q: Find the equation of the Line tangent of xy-y^3 =-6 at the point (2,2) Find the equation of the lin...

A:

Q: +00 e n Σ (x + 4)"- n! n=1

A: The given power series,       ∑n=1+∞enn!x+4n

Q: The height (feet) of an object launched in the air t seconds after launch is given by s = - 16t + 28...

A:

Q: Find the linearization L(x) of the function at a. f(x) = sin(x), a = %3D %3D 3 L(x) = %3D

A:

Q: Find derivative of F(x) = x^x

A:

Q: An investor deposits $9,000 into an account that pays 8% compounded continuously, and then begins to...

A:

Q: Find all the zeros. Write the answer in exact form. m (4) = 5x -x- 35x+7 If there is more than one a...

A:

Q: Find the number(s) b such that the average value of f(x) = 6x² – 50x + 82 on the interval [0, 6] is ...

A:

Q: 1 7) Find the antiderivative: S 3x2-6x+12

A:

Q: Suppose that the equation of motion for a particle (where s is in meters and t in seconds) is 8 = si...

A:

Q: Your are driving away from Tulsa. Your distance (in miles) away from Tulsa x hours after 12:00 noon ...

A:

Q: Write the equation of the ellipse 4x² + 25y? – 40x + 150y + 225 = 0 in standard form %3D (x – h)?, (...

A:

Q: Determine if each formula is right or wrong. Give a brief reason for each answer. Sax+27 dx= (4x+2)3...

A: The formulas are given by To determine: Whether the formulas are right or wrong with the brief reas...

Q: Part 1 of 2 Suppose f andfare differentiable functions. Suppose f(-8) - 9 and f'(-8) = - 4. %3D Ques...

A: topic - functions and derivatives

Q: Find the focus, directrix, focal diameter, vertex and axis of symmetry for the parabola 33.2x = y? F...

A:

Q: The radius of a circular oil spill after t minutes is given by r(t) = V4t. Find the instantaneous ra...

A:

Q: Determine if the equation forms a circle. If so, state the radius and center. (a) a + y - 4x + 10y +...

A:

Q: Suppose you deposit $7000 at 6% interest compounded continously. Find the average value of your acco...

A:

Q: Given a function r(x) such that r' (x) < -4 on [5, 9]. If r(5) = -9, which of the following could be...

A:

Q: B. find the slope of the tangent to the curve at the given point 1. y= x-6, (1, - 2) 2. y = 3x -5x. ...

A:

Q: The angle of depression from top of an observation deck to a bench on the ground 165 feet from the b...

A: see below the answer and explanation

Q: 11. In the problem, t is a real number and P = ,-26 is the point on the unit circle that corresponds...

A: Topic = Trigonometry

Q: Find dy/dx by implicit differentiation. (sin Tx + cos ny)3 = 58 dy/dx = Need Help? Read It

A: Find your answer below 

Q: y 1.5 2.5 2.5 2.5 2.5 13.68 3.

A:

Q: Find the derivative of the function. y = sqrt (7+4e^6x

A:

Q: Solve the system of equations for the intersections of the two curves ( 62² + 3y? = 132 l7y? – 2? = ...

A: We can list the coordinate of intersection point as below.

Q: Given the following functions: f(u)=tan⁡(u) and g(x)=x^8. Find: f(g(x)) = f'(u) = f'(g(x)) ...

A: The given functions,fu=tanu and g(x)=x8

Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5' ...

A:

Q: LESSON 10 A Find the derivative using the three-step rule. 2. y = x - 5x +3

A:

Q: (x – 2)? (y – 5)? 1 Given the ellipse 16 Find the center point: (2,5) List the major vertices (separ...

A: Given the ellipse x-229+y-5216=1To find the center point.To list the major vertices.  

Q: Given f(x) = 4x + 12x -9x-27, (a) Determine if fhas a zero on the interval [0, 4]. (b) Find a zero o...

A:

Q: f(x)=6x-10 , g(x)= x^2+3x+8 (gof)(-2) = 55 none of these 25

A:

Q: dy For = 9 + y and y(0) = 4, use Euler's method with h = 0.1 to approximate y(0.6). dx

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 6 + du 2

A:

Q: Determine whether the improper integral diverges or converges. dx

A:

Q: I. Find the derivative of the following functions: a. f(r) = 23 + 6x b. h(r) = (3r + 4)2 c. y = Vr3

A: According to company rules, I need to solve first 3 subparts when multiple subparts are posted

Q: 1 17. dx .2 + 4x + 5

A:

Q: Suppose that the total number attendance A (in thousands) at NCAA women's basketball games is modele...

A: Given: - Suppose that the total number attendance A (in thousands) at NCAA women's basketball games ...

Q: The weekly revenue from the production and sale of x units of grain is given by R(x) = 237x - x thou...

A: