BC cuts the x-axis at D. E is a point on AC such that BA // DE. Given points A(-4,8), B(5,2), C(-3,6), D(d,0)... a) Find BD : DC. b) Find the coordinates of E.

Q: -he 3 particular Solution to the differential equatio method of of parameters. Your ar bolic…

A:

Q: 2. 2 S² X (x + 1)² dx

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

Q: 2. The position of a rider on a Ferris wheel is an example of periodic motion. Find three other…

A: 1 )A Rocking Chair

Q: If I cut a Pizza into 2 equal pieces, How long is the crust(circum.) is each piece??? Smidget Radius…

A:

Q: (a) F(t)=(2 sint)i + (2 cost)j from the point A(2, 0) to the point B(-2, 0)

A: To find the arc length of given function

Q: Evaluate the following integral in spherical coordinates. 2 /4 4 csco 2 SS S p² sin o dp do de Ο π/6…

A:

Q: Atmospheric pressure P in pounds per square inch is represented by the formula P = 14.7e-0.21x,…

A: Given P = 14.7e-0.21xwhere P = atmospheric pressure in pouds per square inch x = number of miles…

Q: Find the absolute maximum and minimum of f(x, y) = 2x + 4y within the domain x² + y² ≤ 1. Please…

A: Given function:- fx,y=2x+4y Let gx,y=x2+y2-1

Q: f(x) = -5x x

A:

Q: 2. Convert the following standard a. (y + 1)² = -2(x + 2)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: Find y' if x = y*. C Note: Leave your answer in terms of ï and y. y

A:

Q: A non-native species of fish is introduced into a lake and is attacking a certain type of native…

A: Given Native: x(t) = −447.94t3 − 5250t2 + 44992t + 150000 Non-native: y(t) = −589.14t3 − 0.7t2 +…

Q: Consider the function below. x + 4 f(x) +4 (a) Find the exact value of the maximum of f. f(x): = X =…

A:

Q: Let z = 6ex²y³. Then: дz дх дz ду

A: We can solve this as follows:

Q: 6. 2 S²³ x5 ln x d

A:

Q: (c) Find the value of √a²-x² [₁ 2(x + y) x² + y² giving your answer in terms of a. 1+ -dx dy,

A: The given integral is:∫0a2-x2∫-aa 1+2(x+y)x2+y2 dx dy

Q: the deflection of differential equation shown 26. dy a d'y = w(x) on 0<x<l dxe" ·beam 9. y.(x)..…

A:

Q: Calculate all four second-order partial derivatives of f(x,y) = 5x²y + 3xy³. fxx (x, y) = = fxy(x,…

A: Given, f(x,y)=5x2y+3xy3

Q: Substitution Suggested by the Equation du dv sin(u + v)

A:

Q: Replace ​? with an expression that will make the equation valid.   d/dx (3 − 4x2 ) 5= 5 (3 − 4x2 )4…

A: let y=(3-4x2)5

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) J- sin(2x) 14 + cos²(x)…

A:

Q: A cadet engineer determines that when x hundreds units of a particular commodity are produced, the…

A: Topic- Application of derivatives We are given that A cadget engineer determines that when x…

Q: Find the interval of convergence for ΣΗ

A:

Q: Describe (don't sketch) the "level curve" defined by sin(√x² + y²) = 1.

A: Given:      sinx2+y2=1⇒x2+y2=sin-1(1)⇒x2+y2=π2+2πn⇒x2+y2=π24+2π2n+4π2n2

Q: 45. If F(x) = f(g(x)), where ƒ(−2) = 8, ƒ'(−2) = 4, ƒ'(5) = 3, g(5) = −2, and g′(5) = 6, find F'(5).

A:

Q: Give the exact value of each expression in simplest radical form. 33.) a. cos 45° 34.) a. sin(-45°)…

A: Since you have posted multiple questions, as per guidelines we are supposed to answer only first…

Q: 106 106 suppose that Σ ai = -24 and Σ bi = -13. Compute the sum. i=1 i=1 106 Σ( – 21a; + 6b;) i=1…

A:

Q: 6. $2 wwwage 2+1 3335

A:

Q: Give the standard equation of the circle satisfying the given conditions a.) Center 1,5 diameter 8…

A: Note: As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: 6. (a) Let f(x) g(x) = k 4- x Find lim f(x), lim f(x), and lim f(x). Find k so that f(x) is…

A: (a).The given function is:f(x)=x2+2               x&lt;1kx=14-xx&gt;1

Q: options Yart 1. Find Sin(t) part 2. find cos (t) 10 10 options 8 ㅋ 능 None 10 ㅋ 10 8 3. 10 4.…

A: Topic- unit circle WE are given a point on the unit circle as -810,-610we know that on unit circlex…

Q: Use linear approximation, which is mathematically expressed as L(x) = f(a) + f '(a)-(x - a), In…

A:

Q: 35-40 Find the horizontal and vertical asymptotes of each curve. You may want to use a graphing…

A:

Q: Find the intervals on which​ f(x) is​ increasing, the intervals on which​ f(x) is​ decreasing, and…

A:

Q: 3. Consider the recurrence relation an = an-1 + 6an-2 with first two terms a = 0 and a₁ = 1. a.…

A:

Q: A person drinks a cup of coffee. Assume that the caffeine enters his bloodstream immediately and…

A: The half-life formula is given by, f(t) = (Amount of caffeine initially) [1/2](t/(t1/2)) where t1/2…

Q: Find the first partial derivatives of the function f(x, y) = ln (x + √√x² + y² 1. fx(3, 4) = 2.…

A:

Q: S x² √16x² dx

A: The objective of the question is evaluate the indefinite integral.

Q: 3) Consider the function G(x) = f g (t) dt. Find the derivative G' (x). O g(x) g(x)-g(1) O g(t) O…

A:

Q: Problem 10. (a) an = n³ n³+1 Determine whether the sequence converges or diverges. (ln(n))² (c) cn =…

A:

Q: fib)-fla b-a sandth. f'(c) in the conclusion of the Mean Value Theo

A: We have to choose the correct option from the given options according to the given information

Q: "roblem 9. True or False. Explain your choice carefully. is convergent. nv2, n = 1, 2, 3, ... is…

A:

Q: If ƒ(x) = (x² + 4x + 5)², then f'(x) = 4x³ + 24x² +52x + 40 f'(2) =

A: Given f(x)=(x²+4x+5)²

Q: 18. Using Lagrange multipliers, find the point on the plane x + 2y + 3z = 4 closest to the point…

A:

Q: Solve: dy/dx = −(y − 27) ^2/3 , with y(0) = 91. Express your answer as y=f(x).

A:

Q: Directions: Show all your work neatly and in order. 1. Find the mass of the solid E bounded by the…

A:

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A:

Q: + on 0 = -1/3 cohere 10404190 Find Sin 2 0

A:

Q: Consider the following. 4 + e¹- 4x = 25 (a) Find the exact solution of the exponential equation in…

A: To solve the given exponential equation