At what point do the curves r₁(t) = (t, 2 - t, 35 + t²) and r₂(s) = (7-s, s - 5, s²) intersect? (x, y, z) = Find their angle of intersection, 0, correct to the nearest degree. 0 =

Q: The elasticity of demand for a product is given by E = 2(160-x) Find the demand function p = D(x) if…

A:

Q: Let f(x,y) = cos(xy). Find the partial derivative of f towards x using the definition of partial…

A:

Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 2 +…

A:

Q: Suppose f = f(g, h), g = g(t), and h = h(t). Find df/dt when t = 2, given the following. g(2) = -9,…

A: We have to find value of df/dt at t=2

Q: Define, using a limit, what it means for a function f(x) to be differentiable at a point e in the…

A:

Q: Without using symmetry, determine a definite integral that represents the area of the region…

A:

Q: Find a Cartesian equation relating x and y corresponding to the parametric equations      x=2sin(3t)…

A: We are required to find   Cartesian equation corresponding to the parametric equationsx=2sin(3t)…

Q: I need help with this problem: The problem is described in the image below. Its topic is from a…

A: a]Moving right in the interval (0,1), (4,6)b]Moving left in the interval (2,3)c]Standing still in…

Q: In March 2014, a gas company had the rate schedule shown to the right for natural gas usage in…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Using the substitution u = sec(x), rewrite the integral tan7 (x) sec(x) dx as an integral involving…

A:

Q: Find the derivative of the given function. y = - 2sin(7x3 - 3) dy dx ||

A:

Q: b) lim-2-tan x² - I -5 6 - 3x

A: Given: limx→2-tan-1x2-56-3x

Q: 49. About the x-axis y = √sin x 77 x

A:

Q: Differentiate the function. dy dx 1 y = (9x+1)5 ||

A: The given function is;  y=1/(9x+1)5.

Q: Let h(x) = 7 - 3x³, h' (1) = Use this to find the equation of the tangent line to the curvey = 7 -…

A: We have given function  hx=7-3x3 h'x=ddxhx=ddx7-3ddxx3 h'x=0-33x2 h'x=-9x2 Put x=1 h'1=-9 Equation…

Q: dx (9x² +64)² 1. =

A:

Q: Find the absolute maximum and absolute minimum of the function f(x, y) = 2x³ + y on the region {(x,…

A:

Q: Use the product rule to find the derivative. y = (5x² + 4)(4x - 5) y' =

A:

Q: 6. Determine the limits obtained by approaching (0,0) along both the x and y What does this say…

A:

Q: 2. Suppose a curve has the following polar equation r = 2(cos 0 - sin 0). Show that this graph…

A: Suppose a curve has the following polar equation r=2cos θ-sin θ. To show that this graph represents…

Q: find derivative of (cosh(x)-x2 ) /  (e2x-1)

A:

Q: 0 ≤ t ≤ 1. Find the length of the curve C: x = e³t cos(4t), y = e³t sin(4t),

A:

Q: Write the given system of equations as a matrix equation and solve by using inverses. X₁ x2 K₁ -X₁ +…

A: Given : -x1-x2=k1-x1+2x2=k2

Q: Does the sequence {a} converge or diverge? Find the limit if the sequence is convergent. an = n 7⁰…

A:

Q: Given Solution: 5 dy/dx + 2y = 83 Questions: What is the largest integral? Are there transient…

A: The given differential equation is: 5dydx+2y=83

Q: Because the form ∞ ∞ is indeterminate, knowing that functions f and g satisfy limx→∞f (x) =…

A: a]Let f(x)=x & g(x)=x2When x→∞, f(x) and g(x) both goes to ∞

Q: For the function, find the point(s) on the graph at which the tangent line has slope 5. y = -0.025x²…

A:

Q: A bank features a savings account that has an annual percentage rate of r = 2.3% with interest…

A: A bank features a savings account that has an annual percentage rate of r=2.3% with interest…

Q: If log x=0.35 and log bz=0.83, evaluate the following expression. √x log b 3√2

A:

Q: Determine a definite integral that represents the arc length of r = 7+9 sin(0), 0 ≤ 0 ≤ 2. - 27 de

A:

Q: Find L-tan -¹ (7/²)

A: We are asked to find the inverse Laplace

Q: ¹Suppose ƒ (x, y, z) = 2 2/4, P = (3, 2, 1). A. Find the gradient of f. Vf= j+ Note: Your answers…

A:

Q: Find the sum of the series below. Σ n=1 32n (2n-1)² (2n + 1)² The sum of the series is

A:

Q: ng the steps below, use logarithmic differentiation to determine the derivative of the function…

A:

Q: Obtain the differential equations with the following general solution: x^2y = 2sinx + Ce^2x…

A: Given General solution:- x2y=2sinx+Ce2x

Q: Determine the solution to y' - y = 0 with y(0)=1 and y'(0)=-1. The characteristic equation is s² - 1…

A:

Q: Find the derivative of the given function. 9x 7+X dy dx y = In ||

A:

Q: The displacement d (in mm) of a piano wire as a function of the time t (in s) is given by d = 3.0…

A:

Q: If In = f(In x)" dx, show that In = x(lnx)" - nln-1. Hence find f(In x)³ dx.

A: Given that In=∫ln xndx, we have to show that In=xln xn-nIn-1 and also find the value of ∫ln x3dx.

Q: The graph of a piecewise-defined function is given. Write a definition for the unction that best…

A: Given query is to find piecewise function.

Q: 2. d. Explain the difference between f(a+h)-f(a) h and lim h→0 f(a+ a+h)-f(a) h Use the definition…

A: Please see the below picture for detailed solution.

Q: 1₁ 25-x2dx Given the integral Determine what substitution to use in order to solve this problem O…

A:

Q: Given the digraph below of a relation R on A = (a,b,c,d), write all the ordered pairs that are in R.

A: We are required to find all the ordered pairs that are in R from the diagraph given in the question.…

Q: Suppose in one year, total revenues from digital sales of pop/rock, tropical…

A: The given data is: Total revenue from digital sales is $27 million Let revenue was earned from…

Q: First use the formula A = 1 A= Find A 1 76 87 ; b= -4 -5 1 ad-bc d -b -C a for the general 2 x 2…

A: Given matrix:- A=7687, b=-4-5

Q: 12. y = e ², y=0, x=0, x=1

A:

Q: Determine the following limit Give a complete of each part and the properties used. justification a)…

A: Introduction: The right-hand limit of a function is the value of the function approaches when the…

Q: The function f is defined as follows. x+4 if -3sx1 f(x) = 8 (a) Find the domain of the function. (b)…

A:

Q: he following figures show the price of gold per ounce, in dollars, for a 10-business-day period.…

A: Price variation of gold as follows  1,030, 1,026, 1,035, 1,025, 1,026, 1,022, 1,016, 1,029, 1,003,…

Q: A 5-9 resistor and a variable resistor of resistance R are placed in parallel. The expression for…

A: