Differentiate the given function using the appropriate rule(s). Here is the inverse trig function d(sec-¹x) derivative formula you'll need: Your answer does not have to be simplified da but if it is, be sure to show the work. = [sec ¹ (2x)] 6 y = 1 x√x²-1

Q: 4. Suppose that the following equation defines y as a differentiable function of x: 2√y + y = 2x.…

A:

Q: dy dx sin(xy) = y dy dx Find the = given the equation

A:

Q: 1. Determine the domain and range of the vector-valued function r(t) = (√t+3, In(2 – t), t²)

A:

Q: Consider g(y) = 7y(3 – y) ¾³ Determine the intervals on which g is concave down. O g is concave down…

A:

Q: Solve the Differential Equations (DE) 3- (x² + y²) dx = 2 x³y dy for y(1) =

A: I am attaching image so that you understand each and every step.

Q: K By computing the first few derivatives and looking for a pattern, find dx d925 925 dx 925 925 (sin…

A:

Q: Solve the queation 36x cubed + 45x squared - 7x - 4 = 0 given that -4/3 is a zero of f(x)=36x cubed…

A: Please see the below picture for detailed solution.

Q: Let u(t) = 2t³1+ (t²-1)J-8k. Compute the derivative of the following function. (+¹2 +4t) u(t) Select…

A:

Q: Find the exact length of the curve. y2 = 4(x + 5)3, 0≤x≤ 1, y> 0

A:

Q: Write the integral as a sum of integrals without absolute values and evaluate: ƒ³ |x³| dx : =

A:

Q: Find the limit. lim (1)

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

Q: y(2x² − xy + 1)dx + (x − y)dy = 0 - - (x² + y² + 1)dx + x(x − 2y)dy = 0 - y²dx + (3xy + y² − 1)dy =…

A: As per bartleby guidelines we only give first three question answer. Please repost for other parts.

Q: Suppose that f(x, y) = y√³+1 on the domain D = {(x, y) |0 ≤ y ≤ x ≤ 5}. Then the double integral of…

A: NOTE: Refresh your page if you can't see any equations. . from the figure, we can write the limits…

Q: Let A(x) = f f(t) dt, with f(x) as in figure. -1 140 0.5 A --- 8 A(x) has a local minimum on (0, 6)…

A:

Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: an amount Po is invested in the Mandelbrot Bond Fund and interest is compounded continuously at 6.5%…

A:

Q: Solve the given differential equation (where the function is subject to the given conditions) by…

A: Let's solve given diffential equation by using Laplace transform.

Q: bax 33. Find the quadratic function f(x) = ax²+bx+c that goes through (2, 0) and has a local maximum…

A:

Q: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)= As p→∞, f(p)=

A: Describe the long run behavior of f(p)=−2(p−3)(p+1)3(p−1) As p→−∞, f(p)=     As p→∞, f(p)=

Q: point The graph of the function f(x) = 3-5 can be obtained from the graph of g(x) = 3 by one of the…

A: Domain:- The set of all those input variable such that the function at those values exists.Range:-…

Q: Let f(u, v, w) = ² + v³e", where u = sin(x+y+z), v= x²e" and w = z. Compute the partial derivative…

A:

Q: Find the general solution of the equation y'' — 2y' + 3y = 0 Use lower case C₁ and C₂ for the…

A: I am attaching image so that you understand each and every step.

Q: S S cos(x)√9+ cos²(x) arcsin (y)

A:

Q: The parametric equations of a cycloid generated by a circle of radius a is given by dy d²y x =…

A:

Q: 2. Sketch the domain of the following functions: a) f(x, y) = b) f(x, y, z)= 2-x-y - eª %2 In(4-x² -…

A:

Q: 2. Use integration by parts (showing all working) to find the Gini coeffi- cient when the…

A:

Q: Consider the function Evaluate the definite integral. f(x) = fx if x < 1 {if x ≥ 1 [1 f(x) dx

A:

Q: The area of a square is decreasing at a rate of 174 square meters per second. At the time when the…

A: We know Area of square =side2Perimeter of square=4side Let side of square = x mLet Area of square =…

Q: Use the properties of logarithms to expand the logarithmic expression. Submit Answer x - 67 X X

A: Expand the logarithmic expression.

Q: x + 1 x-1 1. Given: f(x) a.) solve: (fog)(0) = and g(x) = x-3 x + 3 b.) Find the domain of f,domain…

A:

Q: 1. 2. * Your answer is incorrect. Solve the initial value problem y" - 5y36y = 0, y(0) = a, y'(0) =…

A:

Q: Find the angle of inclination 0 of the tangent plane to the surface at the given point. x² + y² =…

A:

Q: -4z The function f(x) = (7x - 7)e` x = has one critical number. Find it.

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

Q: Divide using long division. State the quotient q(x) and the remainder r(x) 24x to the fourth + 21x…

A:

Q: Find the derivative of the following functions using limits. 1. f(x)= 3x² + 4x-5 2. f(x)=x³2x²+x-3…

A: The given functions, 1. fx=3x2+4x-52. fx=x3-2x2+x-33. fx=x-12 We have to find the derivative of…

Q: Find the arc length of f(x)=ln|x| over [1,3]. Round answer to two decimal places

A: We will find the required arc length.

Q: Define as the region bounded by the function f(x): and the line x = 1 in the first quadrant between…

A:

Q: If f(x) = 2x(sin x + cos x), find f'(x) = f'(1) = (do not distribute) (round to 3 decimal

A:

Q: Let P and Q be polynomials. P(x) 818 Q(x) if the degree of P is (a) less than the degree of Q, and…

A: Given query is to find the limit of the expression.

Q: A box, without a lid, must contain a volume of 1000 cubic centimeters. The box must have a square…

A: This is an optimization problem, we use first derivative to find critical values and second…

Q: A closed box is in the shape of a rectangular solid with dimensions x, y, and zin inches. Suppose…

A:

Q: Given that f(x) (a) (f + g)(3)= (b) (f - g)(3)= (c) (fg)(3)= (d) (-) (3)-[ = x² - 7x and g(x) = x +…

A:

Q: Evaluate R (2ry) dA, where R is the triangle shown below. y-axis (0, 3) √x+y = 3 R x - 4y = 0 (4,1)…

A: We have to evaluate the integral:  ∫∫R (2xy) dA ;     where R is the given shaded region.

Q: Find a vector function that represents the curve of intersection of the elliptic cylinder given by…

A:

Q: Solve the equation using the quadratic formula   6x squared + 10x +2 = 0

A:

Q: Evaluate the integral using the FTC 1: [₁(8x² + 7x5) dx = =

A: Given query is to find the value of the integral.

Q: Which of the following is the polar coordinates for the point with rectangular coordinates (3√2,…

A:

Q: Find the length of arc of the curve given by the parametric equations: x = t³, y = 2t², −1≤t≤2.

A:

Q: Find the critical point(s) of the function f(x, y) = x¹ +y¹ − 40xy. Enter your answer as an ordered…

A:

Q: an+1 Use to show that the sequence given by an (a) (c) Strictly increasing (b) Strictly decreasing…

A: