Find a function r(t) that describes the line passing through P(9,6,3) and Q(5,4,2). r(t) = (-4t+9.., for

Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: (b) Is the function f(x)=z+z+1| continuous at every z? Is it differentiable at every z? Sketch the…

A: Explanation of the answer is as follows

Q: Find and simplify dy dx y = sec³ (sin(e³x))

A: Topic = Derivative

Q: 5. Let f(x,y)=2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: Given function:- fx,y=2x+yx-2y

Q: Graph the solution to the following inequality on the number line. x2>4x

A: We need to graph the solution of the inequality on number line.

Q: #9) Find an equation of the tangent line to the graph of the function at the given point. y = 3(cosh…

A:

Q: For y = 88√x, find dy, given x= 4 and Ax=dx=0.22. dy= (Simplify your answer.)

A:

Q: I. The daily temparature high can be modelled by the formula T(t) = 57.5 22.5 cos(2πt) where T is…

A: The daily temperature high can be modelled by the formula                  Tt=57.5-22.5cos2πtwhere T…

Q: The volume V of a fixed amount of gas varies directly as the temperature T and inversely as the…

A: Given: the volume V varies directly as the temperature T and inverselyas the pressure P.Therefore, V…

Q: Problem # Perform inverse Laplace. of the functim 5S M(6) = 5²' (0-²35-0²-5³5) (e s

A: L-1(e-as/s)=H(t-a), H(t) is unit step function and a is any scalar.

Q: Evaluate the expression without using a calculator. 10 log 34 10log 34 = ●

A:

Q: 11. Some biologists model the number of species S in a fixed area A (such as an island) by the…

A: Given, log(S)=log(C)+klog(A)

Q: Find the derivative and simplify where possible for the following:

A: Given, g(x)=1-coshx1+coshx   Aim: Find g'(x)

Q: : : 2. Find the area above the x-axis bounded by the function f(x) = -x² + 2x + 3 and the x-axis.

A:

Q: The number of inhabitants y in a city increases according to the relationship y=50,000+1500x. x…

A: The given equation is:- y=50,000+1500x   Comparing with the standard equation:- y=kx+C   C = 50000 k…

Q: Question Determine if the series below converges or diverges by comparing it to a p-series using the…

A:

Q: #4) Evaluate each expression without using a calculator. [Hint: Make a sketch of a right triangle.]…

A:

Q: Let R= (2₁1), Find the Point P such that PR has components 82-3,17

A: Let coordinate of point Pa,b

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of…

A: this is the problem of integration here function is given we have to integrate it ∫x3(x4 +4)2dx…

Q: a set of parametric equations for the tangent line to the curve of intersection of the surfaces at…

A:

Q: Find and classify the critical points of f(x, y) = x³ + 2xy + 3y². Local maximums: Local minimums:…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: Identify the differential equation that produces the slope field below. Y 3 2 1 -1

A:

Q: Q5: Solve the following set of equations using Newton-Raphson with initial values x₁ = 0.5, x₂ = 1.5…

A: We have to find the solution.

Q: Evaluate the integral. [²3 0 x In (3x) 4 dx

A:

Q: Use the rational zeros theorem to list all possible rational zeros of the following.…

A: We need to find possible zeroes.

Q: Find an equation of the tangent plane to the surface at the given point. y (1, 9, 9) f(x, y) = −9x +…

A:

Q: Write an equation describing the relationship of the given variables. y varies inversely as the…

A: y varies inversely as the cube root of x and when x=125, y=3.

Q: 1) Given the graph of f(x), sketch the graph of f'(x). You may sketch directly over the given graph.

A: Make the graph of f'(x)

Q: Question Use the trapezoidal rule to calculate the absolute error of (5x³ + 5x) dx using 3…

A:

Q: Determine the location and value of the absolute extreme values off on the given interval, if they…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: 1. Find the general solution of y"" — 2y" — y' + 2y = 0

A:

Q: at which the tangent plane is horizo

A:

Q: Convert from rectangular to spherical coordinates. (Use symbolic notation and fractions where…

A:

Q: Consider the following function. g(x) = 3x³ - 8x Find the first and second derivatives of the…

A: Consider the following function.gx=3x3-8xTo find the first and second derivatives of the function.To…

Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

A:

Q: Find the derivative of the function. y = In(xvx²-8) y' =

A: y=lnxx2-8 Apply Chain Rule

Q: 1 . For the function f(x,y) = 4x+4y+=+= find and identify the critical points as being local…

A:

Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…

Q: Find the gradient of the function at the given point. Function Point f(x, y) (7,3) Vf(7, 3) = 15 2 x…

A: Please see the below picture for detailed solution.

Q: + 5 + + + + + + + + 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 data Based on the boxplot above,…

A: The five-number summary is the minimum, first quartile, median, third quartile, and maximum

Q: 2) What is the difference between f'(x) and f'(7) and how do you say out loud the expression f'(x)?…

A: Difference between f'(x) and f'(7)

Q: An unknown radioactive element decays into non-radioactive substances. In 480 days the radioactivity…

A: The decay formula: Nt=N0e-λtwhere Nt=Amount of substance left after 't' days            N0=Intial…

Q: Question Determine an upper bound for the error in estimating √3e² with 4 subintervals. Enter an…

A: Please see the below picture for detailed solution.

Q: Consider the integral 5 Š x√x If the integral is divergent, type an upper-case "D". Otherwise,…

A: NOTE: Refresh your page if you can't see any equations. . here the function is

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: Find an equation of the evolute of the hyperbola y=1/x.

A: Concept Used: Standard form of the hyperbola The standard form of the hyperbola is: x2a2-y2b2=1

Q: what is an improper integral?

A:

Q: The surface of a mountain is modeled by the equation h(x,y)=5000-0.006x2-0.008y2. A mountain climber…

A:

Q: One banana and two mangoes cost K1.30. Five bananas and four mangoes cost K3.50. Find in toea the…

A: See this solution in below.

Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: We have given  The limit as x approaches - 6 of f(x) is equal to 8. limx→-6fx=-8 It means that…