6.4

Q: Find the derivative of the function in SORE SHOT SA GOE 4-6+ UNSER 21+ hon f(x) = f(x+h)-f() G`() =…

A:

Q: 8. Calculate : f(x² + 1) for the following choices of ƒ(u): dx a. f(u) = sin u b. f(u) = 3u³/2 c.…

A: To calculate ddxfx2+1 for the following choices of fu. (a) fu=sin u (b) fu=3u32 (c) fu=u2-u

Q: A function f(x) is said to have a jump discontinuity at x = a if: 1. lim f(x) exists. 2. lim f(x)…

A: Disclaimer:  Since you have asked multiple questions, we will solve the first question for you. If…

Q: f(x) = 2 sec (-) + 1 2

A:

Q: What does f(c) = M mean? It indicates that the limit of the function as x approaches "c" is M. It…

A:

Q: In this problem, x = c₁ cost + c₂ sint is a two-parameter family of solutions of the second-order DE…

A:

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

A: Given data: How do you use the method of cylindrical shells to find the volume,  the x-axis (x=3+…

Q: 8 lim OGX 2sinx (b) lim 2x²+S X10 2x-3x²

A:

Q: Find a value for the constant c so that the function is continuous at 3. C = Is f then continuous at…

A:

Q: 2 x+2 3

A:

Q: Log9x expand

A:

Q: Consider the differential equation I //1-\ (A) At the point (-1,-1.5), the direction field has a…

A: The differential equation is given as , dydx=2y

Q: 32. (a) Suppose that A and B are the matrices of Example 5. Show that (A + B)² # A² + 2AB + B². (b)…

A:

Q: There is a matrix M that makes the following equation true: 01 M[-2] - [Q] = Find a matrix M that…

A:

Q: Let h(x) =tan(2x + 5). h'(x) = sec² (2x + 5)(2) h"(x)

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx.g'x And use the common…

Q: Find the equations of the asymptotes of the hyperbola (x^(2))/(25)-(y)/(16)=1

A: standard equation of a hyperbopla ( x - h )2a2  - ( y - k )2b2 = 1

Q: Find f(x) for f'(x) = 1². 1. 2x² 2. 2x 3. 2 4. 2 2 5. None of these

A: Given that: f'(x) = x2 find f''(x)=?

Q: 1. (Section 15.6) Consider surface S: 4x² + y² + 4z² = 100. (a) Draw a well-labeled graph of surface…

A: Introduction: Tangent plane: the plane through a point of a surface that contains the tangent lines…

Q: dx dy x| y 2 +2 X

A:

Q: joo 나 (X (1HX) dx

A:

Q: The linear density in a rod 8 m long is Find the average density of the rod. 12 kg/m, where x is…

A:

Q: A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or…

A:

Q: A. Graph the linear equation in two variables. Find at least five solutions in the table of values…

A:

Q: The number of miles a truck can be driven on one gallon of gasoline depends linearly on the speed at…

A: Question - The number of miles a truck can be driven on one gallon of gasoline depends linearly on…

Q: Previous Problem List Next The length of a rectangle is increasing at a rate of 6cm/s and its width…

A:

Q: If the birth rate of a population is b(t) = 2300e0.022t people per year and the death rate is d(t)=…

A: The given data is: bt=2300e0.022tdt=1480e0.019t To find the area between these curves for 0≤t≤10

Q: 2x(3x + y-ye-x)dx + (x² + e-x + 3y²2)dy = 0, when x = 0, y = 1

A: The given differential equation is;  2x(3x+y-ye-x^2)dx+(x2+e-x+3y2)dy=0.

Q: luate the integral. (Use C for the constant of integration.) x² √ - 3/2 dx 15+ 4x 4x² - 4x²)³/²2

A:

Q: Find Mx, My, and (x, y)for the laminas of uniform density ? bounded by the graphs of the equations.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Evaluate the following. d x6 sin²(x + 1) In √√x² +1 A. dx B. S 1 x ln x dx

A:

Q: In this problem, x = c₁ cost+c₂ sint is a two-parameter family of solutions of the second-order DE x…

A:

Q: Evaluate the integral. 64 S 64 log 4(x + 64) X + 64 dx log 4(x + 64) x + 64 (Type an exact answer.)…

A: Given query is to fins indicated integral.

Q: Use the graph to find the following. Ay X (a) the domain off (b) the range of f Q(c) the…

A:

Q: Write out the form of the partial fraction decomposition of the function (see example). Do not…

A:

Q: Use the Fundamental Theorem of Calculus to find the derivative of the following function. (You do…

A:

Q: 6. f(x) = x² cos x

A: Given query is to find the derivative.

Q: Find the value of the constant c that makes the following function co f(x) = = uous [cx + 7 cx² 7 if…

A:

Q: Example 4: Evaluate the difference quotient for the given function. Simplify your answer.…

A:

Q: Find the length of the following curve. x = (y/5)² -25 In (y/5), 2 ≤ y ≤ 10 The length of the curve…

A:

Q: Solve the equation for 0 ≤ 0 < 2π. 5 cos² = 1- cos 0+3 cos²0 O { , } O {5} 3 0 {3,4} O{, T, 5} 3

A:

Q: Eleven and one-half percent of a group of 1,200 motors are found to be overloaded. How many are not…

A:

Q: x ' 0 (x)b = « VA 18 ' (כ) ]x) 6 (x) f]tut)] [(x) 6 + (x) f]u[ (q) [(x) 6 + (x) f]u[ (e) VA (x)f = 6…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: Question: Find the first derivative of y with respect to x when x=2: y=ln (x^2/sin2x) Answer:…

A:

Q: Let R be the region bounded by the following curves. Use the shell method to find volume generated…

A: Let's find volume of solid, when rotated about y axis.

Q: Find the following limit (a) by investigating values of the function near the x-value where the…

A:

Q: Solve for the value of "x" indicated in the figure below. (Round your answer to 3 significant…

A: The given figure is:   To find the value of x.

Q: 1 Let f(x) x - 4 Then (fog)(x) = (gof)(x) =■. = and g(x) = = 3 X +4.

A: Given f( x ) = 1x-4g( x ) = 3x + 4

Q: dx Given the equation xy - y = 9y, find - by implicit differentiation. Answer dx dy ||

A:

Q: Use the summation formula for geometric series to find the sum of the first 8 terms of the geometric…

A:

Q: Evaluate the integral. (Use C for the constant of integration.) 35 dx √x+xVx

A: