6. fx√4x+1dx

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: 3 4. S (x+3) z²+1 5 dx dar.

A: As per bartleby guidelines we only give first question answers. Please repost for other parts.

Q: [" In(y+z) e dxdzdy = [Show your solution.]

A: Given that,

Q: Since the creation of a social program, the percent of persons 65 years and over with a family…

A: Here we have to us ethe given function.

Q: S x² e¹x dx

A: EVALUATE USING INTEGRATION BY PARTS  For the function x2e4x .

Q: z²+1 5. S ₂²³(x+5) I

A: Let's solve given integral.

Q: 4. xy = COS (²) + +1

A:

Q: A region bounded by f(y) = 2y + 3, y = 1, y = 3, and x = 1 is shown. What is the volume of the solid…

A:

Q: Compute TOT/ cos(y³) dydx. [Hint: Change the order of the integration.] Show your solution. Select…

A:

Q: 1. (a) Write the following set of equations in matrix form. 8=6X3+ 2X2 2-X₁=X3 5X₂+2X₁ = 13 (b)…

A: Here we have to write the equations in matrix form and then we have to do matrix multiplication.

Q: Find the unit tangent vector T(7) for the line tangent to the space curve r(t) = (12 cost, 12 sint,…

A:

Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: The solution of differential equation y' + (cot x) y = 3 sin x cos x, x = (0,π). is:

A: Using Integrating Factor formula:

Q: x+2y+xy'=0  solve thisODE w/o using the Exactness Method. use another method. what method ?

A:

Q: 11) S₁0 x ³ lnx dx

A:

Q: Determine where the function discontinuous. [-(x+2)² +1→x≤-2 f(x)=x+1→-2≤x≤3 [(x-3)² −1→x>3 Using…

A: the given function,  f(x)=-x+22+1,x≤-2x+1,-2≤x≤3x-32-1,x>3

Q: Which equation could be represented by the number line? A. -9+8 = -1 B. -4+ (-5) = -9 C. -1 + (-9) =…

A:

Q: 73. an = (2n + 2)! (2n-1)!

A:

Q: limg-0 2x sinx 4-4cosx

A: We can find the limit as below, using L'Hospital rule.

Q: Let f be a function with continuous second partial derivatives and define: z = f (2x³y - y₁y³) if…

A: z= f(2x3y-y,y5) ,  u= 2x3y-y, w= y5   And zy= (2x3-1)fu+5y4fw  Find zyx

Q: How much money should David invest today into a fund that earns interest at 3.50% compounded…

A:

Q: Find dy at the given point. dx 17) 5xe9y= 12; (1,0) 18) x2 + 3y2 = 13; (1, 2)

A: Given :17)  5xe9y=1218) x2+3y2=13

Q: Write an equation for a rational function with: Vertical asymptotes at x = -2 and x = 2 x intercepts…

A:

Q: (b) Use L'Hopital's Rule to find the following limits: e-1 x (i) limx→0 (ii). lim-0 x-y fl (x > 0, y…

A:

Q: - If u = 4j – 2k and v = 27 − j + 7k, find || − 3ủ + 5v||. Select one: O 2√230 O 3√373 O 2√373 O…

A:

Q: B: Solve the following integrations: fx³e-2x¹ dx b-S. -dx x³ +10 c-f 3sec³x. tanx dx arks

A: a) ∫x3e-2x4dx Let x4=t Then, 4x3dx=dtOr, x3dx=dt4 By substitution,…

Q: a. Write the equation of the line that represents the linear approximation to the following function…

A: Using linear approximation at x=a L(x) ≈f(a) + f'(a)(x-a)

Q: Which point is the vertex of the parabola y = 6(x+3)^2 - 5?

A:

Q: A region bounded by f(x) = √√4 — x², y = 0, and x = 0 is shown below. Find the volume of the solid…

A:

Q: xp (x+)ɔ zx f

A:

Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

A:

Q: 14. Integral 2 dt 31-4

A: Given, ∫23t-4dt

Q: Let k(x)=f(x)g(x)h(x). If f(−2)=−5,f′(−2)=9,g(−2)=−7,g′(−2)=8,h(−2)=3, and h′(−2)=−10 what is…

A:

Q: Let f(x, y) = ln(x + y − 1). The domain of f is {(x, y)| x + y > }.

A:

Q: ³ sin y - 3) = √10 ² Let f(x, y) dt 1 + cos² (t) 16 Then f (2, π/6)=

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=x²-In(x),…

A:

Q: Sketch left-endpoint and right-endpoint approximations for f(x) = on [1,2]; Approximate the area…

A: fx=1x on 1,2, n=4

Q: CHECKPOINT 1.24 Integrate the function [²₂x³dx.

A:

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 1x³/2, 0 ≤…

A:

Q: 2. limx-co √x √x+√√x+√x

A: Here we have to find the value of  limx→∞xx+x+x

Q: Solve the given differential equation by undetermined coefficients. y" + 2y' + y = sin(x) + 4…

A:

Q: Assume that x and y are both differentiable functions of t and find the required values of dy/dt and…

A:

Q: Use the formula for the area of a trapezoid to evaluate √₂² (2x- 2 (2x + 3) dx.

A:

Q: use the chain rule to find the derivative of function 3 5t² 3t²+2

A:

Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

A:

Q: The position function of a particle is given by the equation s(t) = -2t2 + 3t + 10. Determine the…

A:

Q: Evaluate f 10x(x² the following antiderivatives + 5) 7dx

A: The given integral is;  10x(x2+5)7.

Q: Find the average value of the function f(x) = over the interval [0, 6] and find c such that f (c)…

A: We have to solve average value

Q: III. Partial Fraction Decomposition: Evaluate the following integrals using partial fra sition. 1.…

A:

Q: 2. Find x (round your answer to 2 decimal places) 80° 70° 7 X

A: