each integral. (c) 0 π/4 tan5 0 sec¹0 de

Q: xsinx-x² lim x-0+ (ex-x-1)² A) 0 =? B) 2 1|2 D) 2/3

A:

Q: A circle has a radius of 6m. A sector of the circle has a central angle of 75°. Find the area of the…

A: We know that the area of the circle is  pi*(r^2)  Where r is a radius of the circle

Q: Find a function f that satisfies the initial conditions, f"(x) = x², f'(0) = 9, f(0) = 7 I f(x) =

A: f''( x ) = x2f'( 0 ) = 9 f( 0 ) = 7

Q: •) and (4,2). 3 Find the distance between the points with polar coordinates (2,

A:

Q: Suppose that f(x, y) = x² - xy + y² - 2x + 2y with D = {(x, y) |0 ≤ y ≤ x ≤ 2}. 1. The critical…

A:

Q: Use the formula k(t) ||r' (t) x r' (t)|| ||r' (t)||³ r(t) = e¹⁰ti + e-tj to find

A:

Q: [3] The area of a circle is increasing at a rate of 8cm³/sec. How fast is the radius of the circle…

A:

Q: Find the error and solve correctly. Determine whether the sequence converges or diverges. How do…

A:

Q: Use the Laws of Logarithms to expand the expression. 3x⁹ log3 y

A:

Q: Find the following using the table below. 1 2 3 4 3 1 4 3 f'(x) g(x) 1 3 2 4 g'(x) 4 1 N|2|2 x f(x)…

A:

Q: Evaluate ∞ ∑  4(1/2)ˆ(x-1) x=2

A:

Q: dy dx - - 2x - 3y² + 2 = 0

A:

Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

A:

Q: Internet Audience   At the end of a certain year, the four companies with the largest number of home…

A: According to question,Given equations,z − u = 3(x − y) + 14                .....1x + y = 48 + z + u…

Q: Convert the point (p, 0, 6) = 5, 2π, 3T 3³7) to 4 to Cartesian coordinates. Give answers either as…

A:

Q: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval…

A: What is the average distance between the parabola y = 7x(16-x) and the x-axis on the interval [0,16)

Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

A:

Q: -9-8-7-6 -5 -3 -2 -1 9 8 7 6 5 4 3 2. + -2 -8 -9 3 d -5- -6 -7 y X 2 3 4 5 6 7 8 9 Write an equation…

A:

Q: 35. Seve √x dx Hint: Let u = x¹/²

A:

Q: 3. (a) (b) Trigonometric Integral: Evaluate each integral. (c) tan tan x sec³ x dx CT/2 sin'0 cos50…

A:

Q: Evaluate the integral. 1 ITT (y + xz) dz dy dx

A:

Q: Find the following using the table below. 2 3 4 4 2 3 1 4 3 2 4 1 2 4 1 x f(x) 2 f'(x) g(x) 3 g'(x)…

A:

Q: Use logarithmic differentiation to find dy/dx. y = xarctan (x²)

A: dy/dx using logarithmic differentiation.

Q: A bug is moving along a straight wire. Its acceleration (in inches per minute per minute) after t…

A: Given: A bug is moving along a straight wire. Its acceleration (in inches per minute per minute)…

Q: 275. Vertices located at (-2, 0), (−2, −4) and focus located at (-2,-8)

A: The vertices located at -2,0 ,-2,-4 and focus located at -2,-8

Q: 13. Find the measure of x. Round to the nearest tenth. B X A 18% 2 C A) 2.1 C) 2.8 B) 3.1 D) 2.3

A:

Q: An equation of the tangent plane to the surface 2z-x²-0 at the point P,(2, 0, 2) is given by: a.…

A: 2z-x2=0 at the point P0(2,0,2)

Q: 3. Prove that 9. n k n-1 k +1 for all positive integers n and k. Solve the recurrence relation a₁ =…

A:

Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pounds of…

A:

Q: If you have 80 meters of fencing and want to enclose a rectangular area up against a long, straight…

A:

Q: Can you please explain in details which row is divided by what and why? Thank you Solve system by…

A:

Q: Do #5

A:

Q: Find the slope of the tangent line to the given polar curve at the point specified by the val r = 7…

A:

Q: 3 [²x². 1 x² dx, N=4

A:

Q: A graphing calculator is recommended. Consider the following. x = t - 2 sin(t), y = 12 cos(t), 0 ≤ t…

A:

Q: Find the sum of the series. (Round your answer to six decimal places.) 00 n=0 (-1)^²n +1 62n +1(2n +…

A:

Q: Find an equation of the ellipse drawn below, then find its foci. 1 x Select one: O a. (x²/4) +…

A: The given graph of ellipse is:

Q: Let f(x, y, z)=2e' cos(xz). Then the derivative off in the direction of 7-j-k at the point A(0,0,0)…

A:

Q: A company manufactures mountain bikes. The research department produced the marginal cost function…

A: The research department produced the marginal cost functionC′​(x)=500−x3​, 0≤x≤900​, where C′​(x) is…

Q: 2. Let F(x, y) = yi − zj + zk be a vector field. Compute [[F - ds, where S is the F. hemisphere 2² +…

A: We have a vector field as given below   F→=yi−xj+zk Where S is the surface bounded by the…

Q: Use the Laws of Logarithms to combine the expression. In(a + b) + In(a - b)- 7 In(c)

A:

Q: 83. Evaluate x7 cos(x4) dx.

A:

Q: Usain Bolt set a new world record for the 100 m dash in 2009 in Berlin. He ran 100 m in 9.58 s. a)…

A:

Q: Find the sum of the convergent series by using a well-known function. (Round your answer to four…

A: Here given that a conversant series and we find the sum of this series by using a well-known…

Q: Use the fact that (a) (b) 1 (1-x)² = 00 n = 1 00 1 ΙΣ (7) 10 10 n = 1 n 9 00 n 1 10 ÷ ℃ (²)² = 11 11…

A:

Q: Concerns about the environment have led to changes in product packaging. Ban Roll-On is packaged in…

A: Volume =V radius =r height =h

Q: Compute the specified quantity. The simple interest on a $3,000 loan at 6% per year amounted to…

A:

Q: f(x)=x² + 4x²-1 + sin(x) 3 2

A: Area under f( x ) from x = a to x = b  is given by  A = ∫abf( x )dx Given function  f( x ) = -x4 +…

Q: I need help with the bottom question part c.

A: We have to find the ratio that produces fastest retrieving time. We will put the values of r and s…

Q: Evaluate the surface integral [ f(x,y,z) ds using an explicit representation of the surface.…

A: The given surface is:f(x, y, z)=5xyS is the plane:  z=5-x-y