a kite 65ft above the surface moves horizontally at 8ft/s; at what rate is the angle between the string and the ground decreasing when the length of string out is 150ft

Q: 1. Use an inverse to solve a. 2x 2x y = -3 7 + y =

A: We have,  2x - y = -3  2x + y = 7

Q: Find all the values of a such that the given series would converge. (5x) no n=1 The series is…

A: given series

Q: The graph of f(x) is shown (see figure). 5x x² + 7 f(x) (a) Find the following limits. L = lim f(x)…

A:

Q: f'(x)=(x2-4)(x+5), determine where tangent line to y=f(x) is horizontal. Select all that apply.

A:

Q: Apply L'hopitals rule to evaluate the limit. Select the appropriate set of steps. lim x+2 x²+x-6…

A:

Q: 8) sin = and cos < 3/4 5 Find the exact values of cos o

A: Given that To find value of

Q: Area: 3A square centimeters cm (smaller value) cm (larger value)

A:

Q: Find two positive numbers that satisfy the given requirements. The sum of the first number squared…

A:

Q: -5 The graph of the function f(x) = tan is given above for the interval x = [0, 2π] ONLY. Determine…

A:

Q: If the system -7x + 6y 4x 7y 5x + 10y + hz + 5z = 3 + 8z = 9 = k has infinitely many solutions, then…

A: If the systemhas infinitely many solutions, then to determine the values of h and k.

Q: Express the series n=1 1 (x-6) 2 2n-1 as a rational function.

A:

Q: The concentration of a drug in the body decreases exponentially after a subjects averaged 11…

A: The exponential decay model The concentration of drug at a time tInitial concentration of drug decay…

Q: Find dy dx dx y= 11 5 50

A: Given,

Q: Use the information to find and compare Ay and dy. (Round your answers to three decimal places.) y =…

A:

Q: Find an equation for the hyperbola whose graph has vertices (0,±4) and goes through the point…

A:

Q: The profit P (in thousands of dollars) for a company spending an amounts (in thousands of dollars)…

A: Solution-Given function is,

Q: -2 y 10 8 6 4 2 2 2 (c) Q(x) = x³ f(x). 3 4 6 8 f bo 10 X (b) Q(x) = x+1 g(x)

A:

Q: (1) Show that the differential equation (3y² - x)dx + (2y³ - 6ry)dy = 0 is not exact. Find an…

A:

Q: Practice 1: a) Use a graphing device to graph the parametric curve and then copy the graph in the…

A: given equations

Q: For the function f(x,y,z) = e 3y² find fx, fy, and f₂. 1 1₂ = (Type an exact answer, using radicals…

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through (0, 0, 0),…

A:

Q: Question 2: Write equations for each hyperbola (If you have a hard time seeing the picture clearly,…

A: The standard form of the hyperbola is given by,As we can see from the graph, the center of the…

Q: Find the following limit or state that it does not exist. lim X→1 X-1 Select the correct choice…

A: Let,

Q: Find the general form of the function that satisfies A(t) = dA dt = 3A.

A:

Q: (a) x5 + 9 (x²-x)(x4 + 6x² + 9)

A: a)

Q: For the above plot of the cone and c are positive integers between 1 and 6 inclusive. Use the mouse…

A: We have to find the values of a, b, c.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: Find all the second-order partial derivatives of the following function. w = 2yex² -8y 27-0 dx²

A:

Q: The circulation time of a mammal (that is, the average time it takes for all the blood in the body…

A: Thre circulation time  of a mammel (that is, the average time it takes for all the blood in the body…

Q: Consider the second order differential equation xy" + 8y = −3x-¹¹ (a) We observe that the function y…

A: The given differential equation is

Q: Write a polynomial function in factored form with real coefficients whose zeros and multiplicities…

A: We can find a polynomial function whose zeros .

Q: Do not use technology. Consider the following table. (a) If h(x) = h'(2) f(x) g(x) X 2 5 f(x) f'(x)…

A:

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two…

A:

Q: Find the derivative of the following function. g(t)= 12√/t

A:

Q: Find the limit by rewriting the fraction first. xy-3y-7x + 21 x - 3 lim (x,y) →(3,8) x #3 lim (x,y)…

A: Find the limit by rewriting the fraction

Q: The measurement of the radius of the end of a log is found to be 16 inches, with a possible error of…

A: We know The area of circle radius of circle

Q: If f(x)= g(x) = = M8 n=0 Σ2². 2", 6 7=0 find the power series of f(x) g(x).

A: Given that ,find the power series of .

Q: Use implicit differentiation to find the slope of the tangent line to the curve = x² + 7 y x + 6y at…

A:

Q: use implicit differentiation to find dy/dx cosy^2+x=e^y

A: We need to calculate  using implicit differentiation for the equation:This can be evaluated as…

Q: Find lim √√3x² + 3y² -1. (x,y) →(3,1) lim √√3x² + 3y² -1 = (x,y) →(3,1) (Type an exact answer.)

A:

Q: Calculate the values of the following integrals? a. b. ö 6x² -2 2x³+10 f xln x dx fx=1dx x²-4 dx

A:

Q: Find each of the following. Hint: You need to find the formula for Q'(x) first, then evaluate Q'(x)…

A:

Q: Use the limit definition of partial derivatives to compute the partial derivative of the function…

A: given function

Q: If f(x) = 6 + Find f'(3). X 3 x² " find ƒ'(x).

A:

Q: On a given day, the flow rate F (in cars per hour) on a congested roadway is given by the equation…

A:

Q: A mass attached to a vertical spring has position function given by s(t) = 2 sin(3t) where t is…

A: given position function

Q: he f Practice 1: Use the definition of derivative at a number a to find f'(a) of the functions given…

A:

Q: Practice 1: Given S(x)=2x+3 a) (fog)(x) 4- x and b) The domain of fog g(x)= 6 x+1, find each of the…

A: given functions

Q: Determine the derivative of the following function: a) f(x) = 2 sin x cos x f(x) = sin² a X

A:

Q: Integrate the given series expansion of f term-by-term from zero to x to obtain the corresponding…

A: We have to find the definite integral of the power series.