Determine the instantaneous rate of change of the function πt³ √x sin (TE³ 2 f(x) = x3 1 + √t at x=2. -dt

Q: 1 X 4 11-x²

A: Please refer to the image below

Q: 6. csch x dx

A: To find the integral of the given function.

Q: Find the area bounded by y = 2x² and y = x a. 9/2 b. 7/2 c. 5/2 d. 3/2 e. NONE OF THE ABOVE

A:

Q: The Bradford family wants to establish an ongoing scholarship award at a college. Each year in June…

A:

Q: Evaluate the following integrals. Show the solution.

A:

Q: Suppose that a movie theater has a screen that is 29 feet tall. When you sit down, the bottom of the…

A: Given: θ=Viewing angleθx=tan-137x-tan-18x…

Q: Nxx X-√√x 3 olx

A:

Q: The function f(t) = 1200 represents the rate of flow of money in dollars per year. Assume a 5-year…

A: We are given  f(t) = 1200 as the rate of flow of money in dollars per year.  Interest rate= 4%…

Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y 0, and x = 49 is…

A:

Q: Find the absolute extremum values of f(x) = xe² xez-2x² 3 on the interval [0, 1]. (Note: ez ≈ 0.22)

A:

Q: Find the area in square units bounded by the following: (Show graph and detailed solution. Box final…

A: Here, the area bounded by the curves: y=x3+1 and x-axis  with the limits x=0 and x=3 is:

Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

A: Using sine rule, length of other two side are evaluated.

Q: Payton is making stuffed animal keychains out of yarn. She set up an Etsy page to sell her keychain…

A:

Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

A:

Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

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

Q: The choice of u and du is subject to trial and error. Identify the appropriate choice of u and du…

A:

Q: Is that pi (π)? Or something?

A: Given ,  Area of the region bounded by  y = cosx , x = -π/2 and x = π/2 and the x - axis  We have to…

Q: u=-5), v=-1-√31 (a) Find u-v. U-V= (b) Find the angle between u and v to the nearest deg 0

A:

Q: FIND X: 6.95460 = -0.658 + 1.41853 + 9.36 (log10 (X + 1)) + 0.40+ -0.20091 1094 (X+1)5.19

A: Given:  6.95460=-0.658+1.41853+9.36log10x+1 + -0.200910.40+1094x+15.196.19407=9.36log10x+1 +…

Q: Life expectancy in the United States has been rising since the nineteenth century. The table shows…

A:

Q: 8. Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and…

A:

Q: Find the area bounded by the curve 2x² + 4x + y - 0 and the line y+x=0 a. 1.000 b. 1.125 c. 1.525 d.…

A: We will first sketch the curve and the line.

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

Q: 5. Find the area bounded by the parabola y = x^2 - 3 and the line y =1.

A: Given problem:- Find the area bounded by the parabola y = x2 - 3 and the line y = 1 .

Q: Evaluate the limit using the L'Hopital's Rule. 1 - cosh x lim x→0+ ln(x² + 1)

A:

Q: 6 r5 So f5x dy dx X 1

A:

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y-axis,…

A: The region is bounded by y=x^3, y axis  and y=8.And the region is revolved about x=0. We need to…

Q: lim x++∞ x² + x e²x + Inx

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Let f(x) = e2sinx 1. Use the local linear approximation of fat x = 0 to approximate e2sin (0.01)

A:

Q: A particle is moving along a horizontal line such that its velocity in m/s is given by v(t) = 2t² -…

A:

Q: What is the the x-axis and the semicircle y = (4 - x^2)^1/2? 00 O 1 02 04 ONA x-coordinate of the…

A:

Q: In Dollars Sales Monthly 9000 8000 7000 6000 5000 4000 3000 2000 1000 0 January Williams Custom…

A:

Q: Find the lateral surface of the cone generated by revolving the line y = mx from x = 0 to x = 1…

A:

Q: too (-1)³²x²² 4) Let sinx= -1=0 2ntl a) Find a power series for xsinx b) Differentiate the power…

A: Here is the solution:

Q: Test for exactness then solve. (cos x cos y − cot x)dx − (sin x sin y )dy = 0

A:

Q: find the symmetric equation of the line through point (1,-2,-4) which is orthogonal to the plane…

A: We have to find the symmetric equation of the line through point (1,-2,-4) which is orthogonal to…

Q: Evaluate the limits using the L'Hopital's Rule. lim (tan x) (sin x-1) x+2+

A:

Q: Test for exactness then solve. (6x + y2)dx + y(2x − 3y)dy = 0

A:

Q: Find the area of the surface generated by revolving about the x-axis the ellipse x = acost, y =…

A:

Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x…

A:

Q: ∙1 Ꮭ ᏝᎽ 1-x-y z dz dy dx

A:

Q: Evaluate the limits using the L'Hopital's lim (tan x) (sin x-1) x+2+

A:

Q: Let f(x) = e2sinz 1. Use the local linear approximation of f at x = 0 to approximate e2 sin(0.01

A:

Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

A:

Q: Which of the following expressions gives the length of the curve defined by R(t) = tij +In tk…

A: We have to find arc length expression for the given vector function.

Q: Find the absolute extremum points of f(x) = sin2 x + cos x on the interval [0, π].

A:

Q: Evaluate the following: 4 fsin 2xcos²2xdx

A:

Q: Find fx(x,y,z), fy(x,y,z), f₂(x,y,z), and fyx (x,y,z) for the following. 3 f(x,y,z) = 4x³ + 2xy -…

A:

Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x = 0 and x…

A: