(a) sin (2x), c = 0.

Q: If f(x) = [ sin(x) = ['(x) 6 3+ t² dt and g(y) = f(x) dx, find g (7). 6

A:

Q: 5. Which of the following differential equation is not Bernoulli b. y' = y(x-y)(x + y) a. y' = y√x…

A:

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: Below is the graph of y == z² +5. -4 40+ 30 U 20 10 N. 2 4 6 The area bounded by y = 22 +5 and the…

A: formula for area is  A=∫abydxarea is  A=∫-35(x2+5)dx∫xndx=xn+1n+1+c

Q: pose that f is an even function, g is odd, both are integrable on [-7, 7], and we know that S 1…

A: Topic:- application of integration

Q: Find the roots of (D4 + 4y = 0 O a. +2i, ±2i + 2 O b. 2+2i, ti Oclti, -1+i O d.-1 +1, 2+2i O e. none

A: To find the roots of D4+4y=0

Q: 9. Find all points of intersection between the curves on [0,2π]. a. r = 1+ sin0, r = 3 sin 0 b. r² 2…

A:

Q: (D² - 3D + 2)y = ex, Find Yp O a.-ex O b.ex O c. -xex O d.xex O e. none

A:

Q: Use a power series to represent the function f(x) = Sorry, that's incorrect. Try again? ∞ ΣΙ n=0 1…

A:

Q: 8. Convert each rectangular point to polar. Give two equivalent representations for each. a. (2,-2)…

A:

Q: lim √x ln x X x+0+

A:

Q: d. f(x) = x tan-¹(x²), a = 0

A:

Q: and V. 35. 36. 37. = (1,1,1), V = (2,0,1) = (1, -2, 1), V=(3,2,1) =(5, 0, 2), v= (-3,0,7)

A:

Q: lim cos(x) X→∞

A:

Q: The total cost (in dollars) to produce q items is C (g) dollars. The marginal cost of producing q…

A: Cost

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Use the value of the given hyperbolic function to find the values of the other hyperbolic functions.…

A:

Q: Solve the following equations. 1. (xy + y²)dx-x²dy = 0

A:

Q: Consider the indefinite integral: A The integrand has the following partial fraction decomposition:…

A:

Q: Graph the set {xx<-1} on the number line. Then, write the set using interval notation. {x|x<-1}=

A:

Q: 10. What is the area of the region in the first quadrant bounded by the graph of y = ex/2 and the…

A: Find the area

Q: The graph shows the number of fatal automobile accidents in a certain state for various years.…

A:

Q: a) Find the domain of f(x) 4x² x + 3 1. All real numbers except x = 4 2. All real numbers except x =…

A: a)   f(x)=4x2x+3for domain,    x+3≠0

Q: Find the roots of (D4 + 4)y = 0 O a. +2i, ± 2i + 2 O b. 2+2i, ±i OC. 1 ±i, -1±i O d.-1 ± 1, 2+2i O…

A:

Q: Find the area of the shaded region. 3 f(x) = 8x + 2x² − x³, g(x) = 0 gr -4

A: NOTE: Refresh your page if you can't see any equations. . given functions are and the limits of x…

Q: (D4-1)y= sinx, Find Yp O a. O b. 1 1 10 - sin2x 15 O c. 1 10 -sin2x -cos2x O d. 1 15 O e. none…

A:

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

A: Given that a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his…

Q: 11. 7(t) = (cost, e¹, Int)

A: Given rt=cost,et,lnt We know that dcostdt=-sintdetdt=etdlntdt=1t

Q: - f(x)=√x, [0,4]

A: formula for average value is  favg=1b-a∫abf(x)dxf(x)=x∫xndx=xn+1n+1+c

Q: 1 N 3 2 1 Where: a = 1 2 3 To find the blue shaded area above, we would calculate b [' a f(x) dx…

A:

Q: Sketch the area represented by g(x). - 60 O y g(x)= (3 + sin(t)) dt Find g'(x) in two of the…

A: g(x) = ∫0x(3 + sint) dtg'(x) = ddx∫03(3 + sin t)dt= (3 + sinx) ddx(x) - (3 + sin 0) ddx(0)=…

Q: Use the ratio test to determine if the series converges or diverges 2n n! Σ=1

A:

Q: 5. ydx = (2y² + x)dy

A: As per Bartley guidelines we are supposed to answer only one question per post. Hence answering only…

Q: Evaluate e f xy³dx. ry³dx + x²dy, where C' is the rectangle with vertices (0,0), (3,0), (3,1), and…

A:

Q: A rectangular page in a text​ (with width x and length​ y) has an area of 8 in.2​, top and bottom…

A:

Q: (D3-2D2-5D +6)y=e4x, Find Yp a. 1 O 24 O b. 1 0 1 6 O d. 4x 1 4x 18 O e. none 4x e

A: To find the particular integral of given differential equation

Q: answer

A:

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A: Solve the following

Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

A:

Q: A bacterial population is 2,000 at time t = 0, and its rate of growth is 1,000 8t bacteria per hour…

A:

Q: Determine the solution of the following differential equations: (D³ - 3D² + 4) y = 40cos2x + 6

A: Let's solve given differential equation.

Q: a. f(x) = 7 cos(-x), a = 0

A:

Q: 22 of 86 AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAA 1. If y=xsinx, then dy dx (A) sin x + cos.x (B) sin x +…

A: Since, you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: Find the roots of (D4 +D²+1) 0 a 1± √3 1± √√√3 2 2 =1=Fܪܝ ܘO b. -1± √√3 -1± √3 2 2 0²1+√√√3 -1±i√3…

A: According to question,Given Equation,D4 + D2 + 1 = 0;

Q: 3. Consider the piecewise function g(t) = ((t + 2)² +2 t≤0 t+6 t> 0° (a) Does g(t) have an absolute…

A: Let's find absolute maximum or minimum value of g(t).

Q: Find the roots of (D4 + 4)y = 0 O +2i, ±2i + 2 O b. 2+2i, ti Oc1ti, - 1 ti Od-1 ti, 2+2i O e. none

A:

Q: Find the values of c such that the area of the region bounded by the parabolas  y = 16x2 − c2 and y…

A:

Q: Find the limit (if it exists) of limx->3+ (3-x)/|3-x|

A:

Q: Use the Fundamental Theorem of Calculus to evalue the definite integral D=∫21(1+2y)2dy. NOTE:…

A: ∫xndx=xn+1n+1+cD=∫21(1+2y)2dy

Q: = converge or diverge? pply: Series Converges Diverges n=1

A: Topic:- sequence and series