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Q: For the function f(x) = x - 4, construct and simplify the difference quotient f(x+ h) - f(x) h The d...

A: Given: f(x)=x2-4

Q: Given R(t) =4 cos ti + (1+ 3cost)j + 5sintk. Find T'(t).

A:

Q: A roasted turkey is taken from an oven when its temperature has reached 183° Fahrenheit and is place...

A: Equation of the temperature is given , T = 65 + (183-65)e-0.275t  

Q: Is the series convergent or divergent? Justify the answer +00 cos nIT n In(n) n=2

A:

Q: Using appropriate substitution, .3 1 the integral J1 x(3+ln(2x))² dx is equal to: 3+ln 6 3+ln 2 3+ln...

A:

Q: The weekly cost C, in dollars, for a manufacturer to produce q automobile tires is given by C = 2300...

A: Answer: The solution is as given below:

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

A:

Q: (x – x2 – y²)dx + (y + x² + y?)dy = 0

A:

Q: biz' dt 2

A:

Q: Determine if the following sequence converges or diverges and find the limit if possible. Sin(n + 1)...

A: To find the solution

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

A: Let the polynomial equation be(x-α)(x-β)(x-γ)=0where α,β,γ are zeros

Q: 12. The line y = 8x + b is tangent to the curve y = 2x². Determine the point of tangency and the val...

A:

Q: find I= x* ē dx る -2X e

A: To evaluate: I=∫x32e-2xdx...(1)

Q: The derivative of the function y = tan-1 1+ csc-1 x, where x > 1 is: CSC y' = 0 y' = 1 %3D %| O the ...

A: y=tan-1x2-1+csc-1x   where x>1

Q: The first derivative of a continuous function y = f(x) is given. Find y'" and then sketch the genera...

A: topic -  derivative and graph

Q: V12 2+3+ cos The value of sin cot cos V 4 + sin 4 12 is

A:

Q: Sin(2x)-TT find derivative

A: We can find the derivative as below using quotient rule.

Q: 27. Given the illustration below, what are the corner points of the feasible region? o. 3) 0.21 1315...

A:

Q: = cos(x + y), when x = 0, y = " %3D

A:

Q: sec?(0) tan (0) de

A: Follow the procedure given below.

Q: {vn – vn +1}

A:

Q: Activity 1: Find the value or values of x for which the curve of the following functions has a point...

A: The point of inflection is at x=12

Q: The hypotenuse of a right triangle is 100 centimeters. An acute angle is 64.8 degrees. Determine the...

A: For adjacent side we use cos function to get side length  Cos(64.8) = adjacent side /hypotenuse Adja...

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: Problem 6. (The cross product project). The cross product for vectors in V is not associative, so so...

A:

Q: Use implicit differentiation to find the slope of the tangent line to the curve defined by xy^8+9xy=...

A:

Q: е. f(x) 3D (2x3+ 4)5

A: "Since you have asked multiple questions. We will solve the first question for you. If you want any ...

Q: 2. Find the equation of the tangent line to the parabola 2y^2+36x=0 which is parallel to the line 4x...

A:

Q: (교2 + y? + 1) dz- (2y + y)dy = 0

A:

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

A:

Q: x = et – 1, y = e2t a) Eliminate the parameter to find a Cartesian equation of the curve.

A:

Q: Given the taylor series at 0 for 1/(1-x2) has an an of x2n: Find the Interval of convergence of thi...

A: use the ratio test for interval of convergence of series .

Q: 1 dy yi+ yi = 1, when x = 0, y = 4 dx

A: y12dydx+y32=1   when x=0, y=4.

Q: dy cos(x + y), when x = 0,y = %3D dx 4

A:

Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

A: The given function is; f(x)=ln(x),x0=e5

Q: Evaluate the double integral. 7x(64 + y?) R R is the region in the first quadrant enclosed by y = x*...

A:

Q: Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respectively, the midp...

A: Given problem:- Suppose that A, B, and C are vertices of a triangle and that a, b, and c are, respec...

Q: Use the linear approximation (1 + x)k = 1+ kx, as specified. Estimate 1.012.

A:

Q: E(-1)» ("" – n)" 2η n=1

A: Using root test

Q: (х — Зу + 3)dх + (3х + у + 9)dy %3D 0

A:

Q: Find the partial derivative indicated. Assume the variables are restricted to a domain on which the ...

A: The given function,z=2x2y3-y315xy-8

Q: Suppose 135 small business firms are threatened by bankruptcy. If y is the number bankrupt by time t...

A:

Q: Determine the convergence or divergence of the series using any appropriate test from this chapter. ...

A:

Q: +00 e n Σ (x + 4)"- n! n=1

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

Q: Is the series convergent or divergent? Justify the answer {Vn – Vn + 1}

A: The solution is given in the next step.

Q: L'Hôpital's Rule does not help with the following limit. The expression keeps on cycling. Find the l...

A:

Q: Hew.3Findwandow de when P=ty9-4if: be W = xy +yZ + Zu +uV and x = Pg ,y=4 tan P 2= Ln L4-3e) V =P++1

A: put value of x,y,z,u,v in w to solve the partial derivative.

Q: Find the Maclaurin series for the function. f(x) = x² sin(x) Σ f(x) n= 0

A:

Q: Consider the following system of linear equations. 5x+20y=-10 -6x-28y=12 Solve the system by complet...

A: Given: 5x+20y=-10-6x-28y=12

Q: A roasted turkey is taken from an oven when its temperature has reached 183° Fahrenheit and is place...

A: