cos(2x) dx sinx+cosx dx Vex

Q: if x<1 fx -x if 1sx<2 if 15x<2 f(x) 2x if x 22 Graph the given function.

A:

Q: Problems: 1. Engineers have observed that when transferring a message I (an input signal) through a ...

A: All parts of the problem are solved below in detail.

Q: use Substitution method to schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: We have to solve it by substitution method. 

Q: Does dy/dx= y-2y/x for ln(2xy)=x

A:

Q: Find B and τ for the space curve below.

A:

Q: Which of the following is true for the function f(z) - a -4, z<1 -2, O a. f(1) = undefined O b. lim,...

A:

Q: Consider the following. cos(x) + Vy = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the ...

A: Derivative

Q: dx Ve ve

A: Integration

Q: plane is flying directly away from you at 500 mph at an altitude of 3 miles. How fast is the plane's...

A:

Q: Write an equation for a rational function with: Vertical asymptotes at x = -6 and x = -2 x-intercept...

A:

Q: JUIR tO JusLily your aASWers. Witë your solutions properly, heatly, and carefully answers as much as...

A:

Q: Given that is the series (k +1)4/4k+1 1+ k: 1 lim k→+0 lim k→+0 4 (-1)*;4 4k is the series condition...

A:

Q: Calculate slope and show it. show calutions Time in seconds: 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7,0...

A:

Q: Evaluate the expression lim, v3r+ 8. a. 2/5

A:

Q: x2+1 2²+1 dx = 0 xe"dy +

A:

Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of r...

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed ...

Q: Given the graph of f(x) below, what is the value of c such that lim, se (z) - f(c)? O b. 1 OC -5 Od ...

A: We have to find where Left Hand Limit= Right Hand Limit= function value 

Q: INTEGRAL Evaluate the following: 8. Se2×dx

A:

Q: Use a finite sum to estimate the average value of f(x)=x* on [0,2] by partitioning the interval into...

A: To evaluate the f at the subinterval midpoint

Q: 4. Perform the following operations involving complex numbers: a. (2 + 7i) + (3 – 4i) b. (9 + 5i) - ...

A:

Q: A cylindrical steel storage tank is 15 feet tall and 6 feet in diameter. Calculate the change in vol...

A: Note: As there are two different questions in the picture we will solve the first question by defaul...

Q: (MULTIPLE CHOICE) Which of the following equations is(are) exact? (A) (x - y3 +y sin z)dr (3ry? + 2y...

A: Given problem:-

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A: We have to solve this given bernouli equation. 

Q: ーX- 3, -3x2 + 2x - 3, x> 1 x< 1 f(x) = %3D Determine which of the following statements are true. Sel...

A: We will find left hand limit (L H.S.) and right hand side (R.H.S).

Q: dx Using trig sub, find - By the rules, Vu2 + a² x/(x³)²+1 can be used where u=a tan0. What should b...

A:

Q: Let f(r) 13 + 62 . Then for r <- f() 3 %3D The left-hand derivative of f(r) at z is The right-hand d...

A: The given function,    f(x)=3+6x

Q: 1 Evaluate each of the following limits, then identify any vertical asymptotes of the function f(x) ...

A:

Q: 3x lim The limit 2 x-2 (see graph) is

A: Here, to find the given limit: limx→2+3xx-2

Q: Find the slope, TL and NL of the function y= 2x2 +2x at the point x=1/2. Graph the function, TL, and...

A: We have to find equation of tangent line and normal line

Q: Since lim k→+0 (k + 1)!/3k+1 k!/3* k+1 lim k→+∞ 3 +00, k! the series (converges/diverges/inconclusiv...

A:

Q: When a bullet is fired into a sand bank, its retardation is assumed equal to the square root of its ...

A:

Q: Answer this question please.

A: Rotation of matrix about a line through origin : Change the given point into polar form and check th...

Q: PART - B IA. Solve (4xy + 3y? - x)dx + x(x +2y)dy = 0 with y(2)=2. IB. Solve (x²D2 + xD - 1)y =ri

A: Since, you have posted multiple questions. As per guidelines we will solve only first question. If w...

Q: dx V4x – x2

A: Given function, It can be solved by converting denominator Into (x-2)2 form Then by substituting  u=...

Q: Find the smallest integer a such that the Intermediate Value Theorem guarantees that f(x) has a zero...

A: Given f(x)= -x2+6x-8

Q: Solve the differential equation.

A:

Q: 28 V14

A: 28√14 

Q: Find the volume of the solid generated when the region enclosed by y = a, x = 1 and y O is revolved ...

A:

Q: sin x 3. Vcos x

A: To evaluate: I=∫0π2sin5xcos x3dx=∫0π2sin4x(cos x)13sin x dx=∫0π2(sin2x)2(cos x)13sin x dx=∫0π2(1-cos...

Q: dr = b (cos(O)dr + r sin(O)dO)

A: Given dr = bcosθ dr+rsinθ dθdr(1-bcosθ) = rsinθ dθdrr = sinθ dθ1-bcosθintegrate on both sides to get...

Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x)# 0

A: follow next step

Q: Find all the maximum and minimum points of f(x) = x4 – 8x2.

A: As we are not given any particular, we will take the help of the graph here.

Q: Determine the approximate root (x_r2) of the f(x) = 0.35x^4+2x^3 -x^2+0.36x +4, upto 2 iterations us...

A: f(x) = 0.35 x4 + 2x3- x2 + 0.36 x +4 f(-2) = -9.68 &lt; 0 f(0) = 4&gt;0 Hence, a root lies between -...

Q: 2-4 (2+4) Ba+C True or false? can be put in the form Explain. 2+4

A:

Q: .3 dx

A: Definite and indefinite integral 

Q: Given an infinite series, discuss a strategy for deciding what convergence test to use.

A:

Q: 10. J(3x3 — 5х + sin3x) dx -

A:

Q: 2x² +y? Which of the following is the general solution to the differential equation dx 2xy +3y² 2x3 ...

A: To find the general solution of the differential equationdydx=- 2x2+y22xy+3y2

Q: The figure to the right shows d 1 - sin x and y 4 1 sin x + 4° || 1 sin x? Find values 4 Which graph...

A: