Determine the first derivative for each of the following functions. Remember to simplify. 2x-3x a) f(x)== 5-4x b) g(x)=(3x² +2x)' Jax² -x

Q: y" + 4y= cos'x

A: Given: y"+4y=cos2x

Q: In Exercises 9 and 10, find all the trigonometric values of 0 with the given conditions. 15 9. cos 0…

A:

Q: 1. Consider the lines x = -1+ 2s by:- = and t2: y=s x – 5 l1 : 3 – z %3D 4 z = 5+ s а. Find two unit…

A:

Q: 6. The radius of a sphere is measured to be 7 cm, with a possible error of + (1/10) cm. Estimate the…

A: Volume of sphere   V=3π​r3/4 Percentage error in volume    ΔV​×100/V=3×Δr​×100/r =3*1*100/10*7= 4.3…

Q: Find the general form of the equation of the plane containing the point Q(0, –2, 10) and the line l1…

A:

Q: The average value of f(x, y) over the rectangle R = {(x,y)| a<x< b, c <y <d} is 1 fave (b – a)(d –…

A: The given expression is: fave=1b-ad-c∫∫Rfx,ydA And fx,y=xy2x2+1 and R=x,y|0≤x≤1, -3≤y≤3 So, a=0,b=1…

Q: 1. f(x) = V3x +2 2. f(x) = 2х-3. 4 %3D 5x+1

A: We know quotient rule of differentiation as follows  ddx{f(x)g(x)} = g(x) f'(x) - f(x) g'(x){ g(x)}2…

Q: .What is the limit of the sequence an = [(n2 - 1)/(n2 + 1)]n

A:

Q: Part 2. Use the integration techniques to solve for the anti-derivative of each fur I. S3p? tan p dp…

A: According to the company rule we can answer only the first question and rest can be reposted.

Q: Solve for the general solution using homogeneous

A:

Q: Consider the piecewise function: 2x+8, x3 Determine the value of each limit. If the limit D.N.E.,…

A:

Q: Consider and know that the function g defined by 1 g(x, y) = cos (TX /y) + log3(x – y) Answer the…

A:

Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (- 3, 4, 3), Q = (6, 6,…

A: .

Q: Use differentials to estimate the amount of paint needed to apply a coat of paint 0.05 cm thick to a…

A:

Q: 3s – 14 - s2 – 4s + 8 - 3e2t cos 2t + 4e" sin2t 3et cos 2t – 4eª sin2t Option 1 Option 2 4e" cos 2t…

A: Given: Fs=3s-14s2-4s+8   As we know that; The inverse Laplace transform identity. 1).…

Q: 4. Determine the equation of the plane passing through the point (1, -4, 3) and parallel to the…

A: To determine the equation of the plane passing through the point 1, -4, 3 and parallel to the plane…

Q: dz f1-42-223)2 3 4[3-2(2+パ) a. In 3+ JE (z+1)/ J3-2(241=+C 3-4,(2+)? 3 b. 4[3-2(2+1=)] C-A(24)?…

A:

Q: Mary, Martha and Lazarus lives in the same house. It takes Mary 2 h to clean the house alone. Martha…

A:

Q: Find the set of all values of x at which the line 3x-y+ k = 0 is a tangent line to the curve f(x)…

A:

Q: Find the Laplace Transform of the functions 1. e-2t (cos t + 3 sin t)

A: As per Bartleby answering guidelines if multiple questions are posted in a single picture then an…

Q: 7. How should the function f(x) = be defined so that it will be continuous at x = -1? (B) f(-1) = 0…

A: We have to find the value of f(-1). Also we have to find the interval in which function is…

Q: I. Find əx and and (whenever possible) for the following functions. az ne ду 1) w%3D 5x*у — 11ху3 +…

A: 2). The given function is: w=2ytan2x+y-3xsecx2y3   As we know that; The Power law: ddxxn=nxn-1 The…

Q: S e6m sin m dm Integration by Parts

A:

Q: 1. lim yx2 —2х + 7 г2 + 4 — 1 2. lim x→-1 x2 + 7 2? - 5х — 3 3. lim т—3 4х2 — 7х - 15

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: -2 2 dy 7e + 5. -5

A: To find out the definite integral.

Q: Find the particular solution to the differential equation d²y = 4e* + 3x² given y = -3 dx2 and = 3…

A:

Q: 3s + 2 4s2 + 12s + 9 3 5 4 + Stezt 2 5 4 3 Option 1 Option 2 3 2 4 +te -tet 4 5 3 e O Option 3 O…

A: Find inverse Laplace

Q: 1 f(x) 1+x 1 f(x) 1- x 2 f(x) 3 — х x² f(x) x* + 16

A: Given that the series the  To find the Power series

Q: A particle is moving along a horizontal path which starts at a distance of 5 ft to the right of a…

A:

Q: Q.2) The basts of the equatioon y'' + y" = 0,are: b) 1,1.e a) 1,1.e c) 1, x,e²* d) 1,x.e" 0 about

A:

Q: Give me an example of Properties of Definite Integral.

A: We have to give an example of definite integral using property

Q: A local diner must build a wheelchair ramp to provide handicap access to the restaurant. Building…

A: Given ,  A local diner must build a wheelchair ramp to provide handicap access to the restaurant.…

Q: 3. For each of the following functions z, find and дудх' дхду 3. z = tan-

A:

Q: x-1 lim エ→1VX -1

A:

Q: 3 4 11) –3 0 -5 Ans. r = 2 - 4 5

A: A detailed solution is given below.

Q: To-42 5-2X-3 (6z) odz dy oe aly de

A:

Q: 8 12 F dt 2.

A: Given: I=∫148t-12t3dt   As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule:…

Q: Determine the absolute maximum and minimum values of the function f(x) =+x the interval -2sxs2. x…

A:

Q: Find the volume oF the solid obtained by rotating about the x- axis oF the region bounded by y= *,…

A: A detailed solution is given below.

Q: 6. S 2sin´x sin(2x) dx

A:

Q: All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the surface…

A: We have to solve above problem.

Q: A candy company makes two types of chocolate bars: milk and dark. The milk requires 9 minutes in a…

A:

Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 18 C. Solve as indicated. 4. A car costs Php 800,000. Find its value after 4 years if it depreciates…

A: car cost Php 800000 value after 4 year = ? per year depreciate is 20% 800000*20/100 = 160000…

Q: Question 3 (a) Find the first and second derivative of the following function, in which a and b are…

A:

Q: Line 1: 3 1 — у - = Z – 8 2 - 4 Line 2: X=-2t y=2+2t z=6+2t 1.If the given lines intersect at a…

A:

Q: Find the minimum and maximum values of the function y = 8Vx? +1 – 5x on the interval [0, 3] by…

A: To find the minimum and maximum values of the function y=8x2+1-5x on the interval 0, 3 by comparing…

Q: Expand and simplifyW – 35) · (5 + 2w)

A:

Q: 1. Evaluate the given line integral, (-y,x – y) · dR, where C is the upper part of x² + y? = 4 from…

A:

Q: For numbers 12 14. A parabola defined by the equation x+3 = (y + 2) is translated 4 units down and 3…

A: