The scalar projection of the vector <3, 18, -3> onto the vector <4, 2, 4> is: 6 10 3√5 10 7 1123 BC CC DC

Q: If xy + 3x = -3 then find at the d²y dx² point (1,-6) in simplest form.

A: Given query is to find indicated derivative.

Q: Find f'(x). f(x) = In x² + 3 Inx f'(x) =

A: The objective is to find the derivative.

Q: Given f(x, y) = = fx (x, y) = fy(x, y) = fxx (x, y) = fay(x, y) = − x5 + 4x²y² − 6y6, find

A: The objective is to solve the above question.

Q: Find a particular solution to the differential equation y" - 1y' + 0y = -650 sin(5t) Answer: y(t)=…

A: The given differential equation is: y''-1y'+0y=-650sin5t To find a particular solution to the given…

Q: 2. a) Determine the coordinates of all point(s) on the graph of y = 2x lnx where the tangent line is…

A: Part_a_ Determine the coordinates of all point(s) on the graph of y=2xlnx where the tangent line is…

Q: Find f'(x). f(x) = 6x² - 4 ex f'(x) = (Type an exact answer in terms of e.)

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

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: The function is given by fx = -5xx+1 To evaluate: The derivative of the function at x=-23.

Q: ind the exact value : csc 720 Sec 300 cot120

A: 1)csc(720)

Q: Prove that 1 xy In x x x + y = y² ln x dy dx 1 == C is the answer in the problem:

A:

Q: Determine whether the Mean Value theorem can be applied to f on the closed interval [a, b]. (Select…

A: See this solution in the below.

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A: Topic:- application of integration

Q: Suppose that the dollar cost of producing x appliances is c(x) = 1500 + 110x -0.2x². a. Find the…

A: NOTE: Refresh your page if you can't see any equations. . the average cost function is given by

Q: Calculate the directional derivative of g(x, y, z) = z² − xy + 4y² in the direction v = (1, -6,4) at…

A: The function is given by gx, y, z = z2-xy+4y2 The point is x, y, z = 2, 1, -8 The vector is  v = 1,…

Q: 3 Let f(x)=√x

A:

Q: ه يمنع الانتقال إلى السؤال التالي إجراء تغييرات على هذه الإجابة. السؤال 4 AO .cO 45° cos( ) 60° 30⁰…

A:

Q: A person walking along a straight path has her velocity in miles per hour at time t given by the…

A: GIven equation :- vt=0.25t3-1.5t2+3t+0.75

Q: An airplane is flying in still air with an airspeed of 325 miles per hour. The plane is climbing at…

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Find the derivative of P=t^5ln(t+4) dP/dt=

A:

Q: What is the domain of the equation?

A:

Q: xy' - ( 1 + x ) y = xy2

A: xy' -1+xy=xy2

Q: Evaluate the following indefinite integral f11 sin(x) - 2 cos(x) dx = +C

A:

Q: The height of a ball t seconds after it is thrown upward from a height of 4 feet and with an initial…

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

Q: Make a sign diagram for the derivative of the rational function. 2x + 8 --Select-- O ( ) = -Select-…

A:

Q: ↓ b c de f here f"(x) > 0. (Consider only the interval (a, f). Enter your answer usin

A: Topic:- calculus    Definition:-  When the second derivative is positive, the function is concave…

Q: limx→∞ -320 +380e 10

A:

Q: You must solve both the questions here.Otherwise skip it pls. Request u Don't solve only one. If u…

A:

Q: ) Evaluate the improper integral 5. xe dx. You must use limits explicitly in your writeup.

A:

Q: Limits 1. Below is a graph of the function g(x), find each limit as listed below. If the limit does…

A: As per the rules of the company we are supposed to answer the first question and rest can be…

Q: Assume that the radius r of a sphere is expanding at a rate of  30  cm/min. The volume of a sphere…

A: Given query is to find rate of change of area of the sphere.

Q: 10 Find the derivative off with respect to x of f(x) = In x¹0. 10 The derivative off with respect to…

A: Given query is to find the derivative.

Q: How large should n be to guarantee that the Simpsons Rule approximation to - 1 √ ( − x² – 12x³ —…

A: Given,

Q: A rectangular area is to be enclosed and divided into thirds. The family has $640 to spend for the…

A: We need to find Area.

Q: the method of cylindrical shells to find the volume V generated by rotating the region bounded by…

A:

Q: Suppose u and v are functions of x that are differentiable at x = 0 and that u(0) = -6, u'(0) = 1,…

A:

Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: Given query is to find the point where tangent line is parallel to given line.

Q: Consider the given function and the given interval. f(x) = (x − 7)2,    [5, 8] (a) Find the…

A: The given function is: fx=x-72, 5,8 To find: (a) The average value fave of f on the given interval

Q: find dy jaz. Ч сев +77012-

A: Solve for dy/dt

Q: Find f'(x). f(x)=3 lnx +5ex - 4x²

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: First use appropriate properties of logarithms to rewrite f(x), and then find f'(x). 6 X f(x) = 7 In

A:

Q: dy dx y = 3 log 6X Find dy dx || (Simplify your answe

A: See this solution in below

Q: No sorry it wasn't meant to be done for each individual one, it's one option for the listed ones…

A: Given, the equation of a helix:rt=bcost i+ bsint j +1-b2 k We need to find the interval of t to find…

Q: e from 0 to 1, the effectiveness E of a pain-killing drug t hours after entering the bloodstream is…

A: Topic:- calculus

Q: Evaluate the following indefinite integral fx-9/4 dx = +C

A: We need to find out the integration.

Q: aluate the definite integral given below. ter an exact answer. л/4 1.24 (3 sin (x) - 2 cos (x)) dx

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

Q: Solve the following D.E xdy + ydx = 3x^3y^1/2 dx

A:

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

A:

Q: Find c such that f(c) equals the average value of f(x) = 4x - 2 over [-8, -3].

A:

Q: Find the derivative of each of the following functions: (image 1)

A: