Find the Cartesian coordinates of the given point. (8, 0) 1) (0, 8) 2) (-8, 0) 3) (8, 0) 4) (0, -8)

Q: n-1 (-3)' is convergent or divergent. If it's convergent, b) Determine whether the series 4" n=1…

A:

Q: Let A = [3 – 2i 4i 1+ 6i], and B = [5+i 2 – 3i 5]. Find (1 - 2i) A + (3 + i) B. %3D

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: A theatre has a seating capacity of 250. The ticket prices for children and adults are $8.00 and…

A: Let 'x' be the number of  children's and 'y' be the number of adults. Now x≥0 and y≥0 since the…

Q: eorem to evaluate the integral. Assume that the curve Cis oriented coun dy, where Cis the triangle…

A:

Q: 9. Use the graph of y = f (x) to answer parts (a) – (f). Where applicable, use interval notation. -2…

A: Solution is given below:

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: integration

Q: Evaluate the definite integral. NOTE: Enter the exact answer. ti +t°j dt 0.

A: this is a problem related to vector integration. Based on the general formula and concepts we will…

Q: d Calculate ri(t) · r2(t)] and ri(t) x r2(t)] first by differentiating d dt the product directly and…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly and…

A: To calculate ddtr1t·r2t and ddtr1t×r2t first by differentiating the product directly and then by…

Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

A: According to guidelines,  we must answer only three of the multipart questions given. Please…

Q: Find the limit. lim (t i - 5 j+1² k) i+ i j+ i k lim (t i-5 j+r k) = i %3D

A: This question is based on limits.

Q: Evaluate the integral of sec^5 (x) tan^3 (x) dx * 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan*3 (x) +…

A: Given: I=∫sec5xtan3xdx   As we know that; The trigonometric identity; sec2x=tan2x+1 The Power rule;…

Q: In the integration What is the implicit derivative of u? V9-4x² a. du = 2dx b. du = * - 2dx c. du =-…

A:

Q: The population of a slowly growing bacterial colony after t hours is given by p(t) = 5t² + 31t +…

A: The objective of the question is determine the growth rate.

Q: Q6. Identify the incorrect statement in the following: A. If e* = 2 then x = In 2. B. If In x = 2…

A: To find the incorrect statement we simply use basic properties of natural logarithm function.…

Q: A stone is dropped into a lake, creating a circular ripple that travels outward at a speed of 50…

A: The speed of ripple that travels outward = 50 cm/s

Q: Use the Divergence Theorem to find the flux of F(x, y, 2) = (a* – e)i+ (y³ + sin z)j + (2³ – cy)k 3…

A:

Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: Evaluate the line integral along the path C given by x = 2t, y = 8t, where U + dy

A: Given

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 24x from (24, 24) to (0,0). NOTE:…

A:

Q: Write the equation of a sine or cosine function to describe the graph.

A: We need to find equation of sine/cosine function.

Q: Let D, be the linear transformation from C'[a, b] into C[a, b]. Find the preimage of the function.…

A: We have to solve above question

Q: Fred the fick partiel dervatives of he Amikinan = Oce /2 ニ for fy f2

A: Explanation of the answer is as follows

Q: An employee invests £1000 at the end of each month into her Pension Fund for 30 years. What is the…

A:

Q: Y201003 2. b00 Cos07 30 300 Sing Y=0.002 Ysine dr dodø

A: Given

Q: 1 dx 1+ 2 sin? x

A: Integral

Q: Let g(t) give the total number of gallons of maple syrup sold by a local farmer over the first t…

A: The derivative is defined as an instantaneous rate of change at a given point. g(t) gives total…

Q: A bumblebee was released and started to travel along a straight horizontal line. The directed…

A: Given t is the time in seconds, Let d be the directed distance from the hive in meters. According to…

Q: Evaluate the integral. (Use symbolic notation and fractions where needed. Use C for the arbitrary…

A:

Q: Chain rule and impicity differentiotion Sappose that Forsy,z) =0 defines z ds d Funetion OF x and…

A:

Q: answer

A:

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

A:

Q: Verify the formula LF a ds = S cdiv F dV in the Divergence Theorem by evaluating the surface…

A:

Q: Find the area under the given curve. y = Vx +6, from x = 0 to x = 16 The area is (Simplify your…

A:

Q: Clairaut's Theorem Let DCR be a disk containing the origin and assume that g: D→R is a function…

A: Given

Q: csc z) Evaluate: lim (x² + e¬®)@¯

A:

Q: Find the limits. If you use L'Hopitals Rule, make sure to justify why you can use it. 1- cos(2r) lim

A:

Q: Find the equation of the family of curves whose slope at any point (x,y) is given and which passes…

A:

Q: Find the centroid of the given region. y = 2-x? y = x A (3/22,45/61) В) (5,15) c) (5/14,38/35)…

A: Centroid is x¯,y¯ , where, x¯ = 1A∫ab xfx-gx dx  and y¯ = 1A∫ab 12 fx2-gx2 dxand A = ∫ab f(x)-g(x)…

Q: How many times will you use double angle identities to solve the integral of (sinx)^2*(cosx)^2dx?…

A: ∫ sin2x cos2xdx

Q: H.W: 1. Find the area of the region inside the oval limacon r = 4 +2 cos 0 2. Find the area of the…

A:

Q: summation

A:

Q: 01r (a)lev 7) Find the area of the region bounded by the curves y= x² and y = x+ 2. Sketch the area,…

A: In this question we have to find the area of region bounded by the curve and line.

Q: The average rate of change (AROC) of b(x) = x? + 4x over [1,3] is given by which of the following?…

A:

Q: Determine whether the vector field F(x, y, z) = x'5 i + y'5 j + z!5 k is free of sources and sinks.…

A:

Q: * Your answer is incorrect. Use Green's Theorem to find the work done by the force field F(x, y) =…

A:

Q: 1. Find an equation for the plane through P,(0,2,–1) perpendicular to n = 3i – 2j-k

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 9) Determine the third derivative with respect to x for y = In x 10) Given f(x) 2x + 1 and f(1) 4.…

A: Find the derivative

Q: find the tangent plane to the surface z = y-x at the point (1,2,1)

A: