Determine whether the infinite geometric series is convergent or divergent. If it is convergent, find its sum. 1/sqrt5 + 1/5 + 1/5sqrt5 + 1/25...

Q: 2t Express x = e ²t, y = 3e¹t in the form y = f(x) by eliminating the parameter. y =

A:

Q: 10 cos(πt/2) dt

A:

Q: Use a definite integral to find the area under the curve between the given x-values. 1 f(x) = X from…

A:

Q: Integration of( 3x2-3yz+2xz)dx + (3y2-3xz+z2)dy + (3z2-3xy+x2+2xz)dz along straight line joining…

A: Given: ∫-13∫22∫31(( 3x2-3yz+2xz)dx + (3y2-3xz+z2)dy + (3z2-3xy+x2+2xz)dz )

Q: Find two numbers with difference 110 and whose product is a minimum. Enter your answers in…

A:

Q: Suppose that triangle ABC is a right triangle with a right angle at C and hypotenuse c. Also note…

A:

Q: 5. y =12x-3 -2

A: Given query is to find the equation of the inverse function.

Q: Estimate the area under the graph of f(x) = approximating rectangles and right endpoints. Rn 1 x+2…

A:

Q: If w=inverse tan 2xyz 3 1+x²y4₂6 y²-3 1+x²y4₂6 ry 2, 3 then wis

A: Givenw = tan-1( 1xy2z3)wy = ∂∂ytan-1( 1xy2z3)

Q: 15) The half-life of uranium-123 is 200 years. What percent of my original amount of uranium-123…

A:

Q: 3nJñ √(C+x/ (ul) Ma

A:

Q: Suppose y (a) The midline of the graph is the line with equation (b) The amplitude of the graph is…

A:

Q: QUESTION 7 Use properties of the integral and the integral formulas to calculate the integral. ( ΟΟ…

A:

Q: Find the equation of the plane  containing points P1: (1,1,1),  P2: (1,2,3) , and  P3:  (3,-1,5).

A:

Q: The answer to the question is not right. Can u redo it please?

A: Given:- q=Dp=175-3p

Q: 12. f sec² 20 do

A:

Q: The table of values for f'(x) describes the behavior of continuous function f. Which of the followi…

A:

Q: Calculate the definite integral by referring to the figure with the indicated areas. Area A = 1.21…

A: Please see the below answer.

Q: Find the coordinates at times t = 0, 1, 2 of a particle following the path t = 0: t = 1: t = 2: =…

A:

Q: Use a definite integral to find the area under the curve between the given x-values. f(x) = ex from…

A:

Q: an= 2 +

A:

Q: Find an antiderivative F (2) with F'(x) = f(x) = 2 +24³ +1225 and F (1) = 0. Remember to include a…

A:

Q: Find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using…

A:

Q: Suppose x = 9 and y = 5 in the figure, which is not drawn to scale. Find the following. Enter exact…

A: To determine the values of given trigonometric ratios.

Q: You have been asked to determine where a wa- ter works should be built along a river between…

A: Given, From the figure, Length of the pipe to Chesterville = AC Length of the pipe to Denton = AD…

Q: Characterize each of the following geometric series: ΕΣ(3) Σ( ΕΣ (9) ΕΣ(3) η 1 η 1 7 1 η Ι a.…

A:

Q: If what does the following integral equal? - 17 √ - 64 [6f(x) + 4g(x) − h(x)]dx = = - 17 [ - 64 f(x)…

A:

Q: Consider the function f(x) = 2 – 2x²/³ on the interval [-1,1]. Which of the three hypotheses of…

A: We check the hypothesis of Rolle's Theorem .

Q: 18. Consider the region S between the curves y = x³ and y = √32x. Which of the following represent…

A:

Q: - Cars are entering a parking lot at a rate of 7 cars in the first minute, 10 cars in the second…

A: According to question,Given data,Car Entering in First Minute = 7 cars,Car Entering in Second Minute…

Q: A bucket of water of mass 20 kg is pulled at constant velocity up to a platform 35 meters above the…

A: Given:     The bucket moves upward at 3512=2.91 meters/minute.   If time is in minutes the bucket is…

Q: Find g'(x) if g(x) = logx(3x)2. O O 8'(x) = 2 ln x 3 ln²x g'(x) = - g'(x) = g'(x) = - 2 ln x 3 ln²x…

A: To determine the derivative of given function

Q: QUESTION 1 - Evaluate the following integral: 10r² + 81 − 8 dt 40 40/3 80 80/3 0

A:

Q: sin x sin(cos x) dx

A: dcosxdx=-sinx∫sinxdx=-cosx+cI=∫sinxsin(cosx)dx

Q: 1. Find the limit. Use l'Hospital's Rule where appropriate. If l'Hospital's Rule does not apply,…

A: To evaluate the following limits.b limx→0+ ln xxc limx→-∞ x ln1-1x

Q: Sketch and calculate the area enclosed by the curves x + y = 4, x −y = 0, and y + 3x = 4.

A:

Q: 00 What can you say about the convergence or divergence of (-1)" (5m² +10 You know O the series…

A: Solve the following

Q: s) The monthly income from car sales, "M" (in thousands of dollars) at a local dealership is related…

A: The answer is in step 2.

Q: Determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY…

A:

Q: A vector field is said to be incompressible if its divergence is 0. Show that any vector field of…

A:

Q: accidents in a certain state for various years. Estimate the total number of accidents in the 8-year…

A: for right endpoints Number of accidents  =△x( f(x1)+ f(x2)+ f(x3)+ f(x4)  )=2 ( 2130 + 2390 + 3621 +…

Q: Revenue, Cost, and Profit Yaster Electronics manufactures and sells a televisions per month. The…

A: Profit

Q: In2 ln 2 1 y ST 0 yexy dxdy

A:

Q: Find the mass of a lamina bounded by y = 3√√x, x = 4, and y = 0 with the density function o(x, y) =…

A:

Q: Please revise, I think the answer is wrong or I'm reading it wrong, hard to understand

A:

Q: Solve the system using the elimination method dx dy + dt dt 2- dx - dt - - 4x - y = et + 3x + y = 0…

A: The given system of differential equation is: 2dxdt+dydt-4x-y=etdxdt+3x+y=0

Q: Complete the square to determine whether the graph of the equation is an ellipse, a parabola, a…

A: Given: y2=4x+2y

Q: You have answered 1 out of 2 parts correctly. Consider the function shown below. What type A.…

A:

Q: tan 0 (2 sin 0+√3)= = 0

A:

Q: Find the area between the curves. x = -5, x = 1, y = 2x² + 4, y = 0 The area between the curves is…

A: