Σ (²-2) for j=1 to 50. The summation equals

Q: Consider the line y = -8x+5. Find the equation of the line that is parallel to this line and passes…

A:

Q: Question 1 C(0, -3,-1). Consider the points A(2, -1,0), B(3, 0, -2), and (a) Find the equation of…

A:

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A: This question is based on conversion of polar to rectangular form.

Q: If f(x) = Σ n=0 M8 n=0 n + 1 -x" and g(x) = = n+ 2 ∞ Σ n=0 (-1)"+1", find the power series of(f(x) -…

A:

Q: The face of coin is either head or tail if three coins are toss what is the probability of getting…

A: The outcome where it's either three heads or three tails is HHH or TTT respectively.

Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

A:

Q: The radius r of a circle is increasing at a rate of 5 centimeters per minute. Find the rate of…

A:

Q: A spherical triangle has an area of 327.25 sq. km. What is the radius of the sphere if its spherical…

A:

Q: Evaluate the following integral. S²²³ x² +48x-16 x-16x dx *** x²+48x-16 3 x³ - 16x (Type an exact…

A:

Q: Evaluate the following integral or state that it diverges. ∞0 J4e-4 -4x dx Select the correct choice…

A:

Q: Q4: Show if the series is convergent or divergent cos(n) n√n n n=1

A: The given series is ∑n=1∞cosnnn. We have to check whether the series is convergent or not. We use…

Q: Let C be the curve y = 12 11 10 9 8 7 6 5 4 15 x³ 1 + 4 3x 25 Find the arc length of C shown above.…

A:

Q: Annual U.S. factory sales of consumer electronics goods to dealers from 1990 through 2001 can be…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

Q: Evaluate the following integral or state that it diverges. S (15 In x)dx Select the correct choice…

A:

Q: FR Find the absolute maximum and absolute minimum of the function f(x) Enter an exact answer. If…

A:

Q: Find the total area of the shaded regions enclosed by y = 3x³x² -x² - 9x and y = -x² + 3x. 8+ Q The…

A: Area bounded by two curve  f(x)  and  g(x)  from a to b Area =∫abf(x)-g(x) dx

Q: Given the velocity v=ds/dt and initial position of a body moving along a coordinate​ line, find the​…

A: Solution is given below:

Q: dx dt Please give an exact answer. dy = 2, dt If z³ = x² + y²₁ Provide your answer below: = 1, and…

A: Given problem:-

Q: Verify that y = c₁ex + c₂e4x is a solution to the DE: y" - 5y + 4y = 0.

A: We are authorized to answer one question at a time, so we are answering the first one, please repost…

Q: Find the position of a body moving on a coordinate line at time t for an acceleration a= dt² initial…

A:

Q: Find a linear differential operator that annihilates the given function. 2.3 + e* cos 2x

A: Let, the given function:fx=3+excos 2x

Q: Solve the given dif fential by variations of parameters 2.y" + 2y + y = e Int

A:

Q: can you please write it clearly for better un

A: see below the answer and calculation

Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

A:

Q: Find the indicated derivative. 3 If f(x) = 24³x² + 96 3 VX find f'(8).

A: Here we will find f'(8),

Q: Question 2 Given the equation -5x² + 10x - 5y² - 80y5z² + 60z = −340 a) [1.. Show that the given…

A: This question is based on standard equation of sphere.

Q: can you please write it clearly for a better understanding

A:

Q: The population of a city t years from now is predicted to be P(t) = 0.50t³ - 3t² + 3t + 200 thousand…

A: The given data is: Pt=0.50t3-3t2+3t+200 ..........(1)

Q: an +1 Suppose that an Σ απ( – 16)" gar n=1 →1 as n → ∞. Find the radius of convergence.

A:

Q: Find a rule for the derivative of the product of four functions f,g,h, and k. Use your result from…

A:

Q: dx -10 x

A: We can solve the integration as below.

Q: Problem 1. Solve these integrals using substitution (a) [ x(x r(x - 2)5dx, (b) [te²³² test dt.

A:

Q: 1 A = 1 1 * The Eigen values of the matrix 0 1 1 10 1. 1 10 0,2,-1 O 0,0,1 O 0,2,2 O 0,1,2 O 0-12

A:

Q: . find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P.(0,0,0) in the…

A: To find the derivative of the given function g(x,y,z) at the given point P0 in the direction  Of…

Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

Q: H.W: Solve the differential equations: dy 1. +2y=ex dx dy 2.2-y=ex/2 dx

A: To solve the differential equation:

Q: Calculate two iterations of Newton's Method to approximate a zero of the function using the given…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Write an equation of the line that passes through (2.5, 1.6) and is perpendicular to the line…

A: Aim: To find equation of line passing through the point (2.5,1.6) and perpendicular to the line…

Q: Determine the point on the curve y = 19x closest to the point (0. line through (0, 5) and the…

A:

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

A: Given

Q: Barbara knows that she will need to buy a new car in 3 years. The car will cost $15,000 by then. How…

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

Q: The value of the definite integral is Select one: O none of the others 45 6 30 -30 [² (3x² - 2x (3x²…

A: Topic = Integration

Q: Consider the double integral f(x,y)=(x²+y2)3/2 over the region R where y is bounded between 0 and…

A:

Q: A card is chosen from pack of playing cards. What is the probability that it is either red or a…

A: We have to find probability of given question.

Q: Find all solutions of the equation in the interval [0, 2π). 2sinxcos2x+2cosxsin2x=-1 Write all…

A: We have a given equation is  2sinx cos2x + 2cosx sin2x=-1

Q: Let f(x) = { 3x² + 2₁ 2x - 3, 3 be a piecewise function. Evaluate 5 if x < 3 if x ≥ 3 f(x)dx=

A:

Q: Find the volume of the tetrahedron bounded by the plane z=4-4x-2y and the coordinate planes. I

A:

Q: O Evaluate Je*+1 dx

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

Q: Consider the differential equation x2y" + xy' + y = 0; cos(In(x)), sin(In(x)), (0, ∞). Verify that…

A: First change into linear ode with constant coefficient then solve

Q: By the condition of a will, the sum of P 1.500 is left to a boy to be held in trust by her guardian…

A: Follow the procedure given below.