Show that points (3,4,3), (2,0,-2), (2,1,0) and (6,10,6) all lie on the same plane.

Q: Forces of 13 pounds and 15 pounds act on each other with an angle of 70°. The magnitude of the…

A:

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A:

Q: Select all of the following statements that are true. If u • v = 0 then u = 0 or v = 0 If @ x ở = 0…

A: Vector cross and dot products.

Q: a) 1-5x The function is given as y= 3-7x To find the inverse of the function,

A:

Q: f and f(x) g (x) = g(x) . are the functions whose graphs are Find h'(1). shown,

A:

Q: The price of a product in a competitive market is $200. If the cost per unit of producing the…

A: Cost per unit of producing the product The price of a product in a competitive market is where x is…

Q: Select all of the following statements that are true. If a and b are orthogonal, then projab is the…

A:

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A:

Q: maneous Tate of lige is The equation of the tangent line to the graph at the point with x-coordinate…

A:

Q: For y=(x-1)²-1, find the following a- Test the symmetry of (y). b- The intercept point of (y). c-…

A: y=(x-1)2-1

Q: (sec² (sec²(t) i + t(t² + 1)³ j + t7 In(t) k) dt

A: Vector integration

Q: Find the x-coordinates of all relative minima of f(x). ƒ(x) = 3 -x4 - 3x³ - 42x² + 14 4

A:

Q: r4 1 X 1+x² - dx

A: Consider the integral

Q: what would the ending diagram look like

A: The strip below shows a bike path that is  of a kilometer long. By reasoning with the definition of…

Q: Consider the function z = f(x,y) = 2x+y-2. What shape is the graph of this function and does it pass…

A: The objective of this question is to determine the shape of the graph of the function z = f(x,y) =…

Q: 3) "Lots of Toys" is a company that has a revenue function of R(x) = 50xe-002x dollars, where x is…

A: Given that "Lots of Toys" is a company that has a revenue function of

Q: e graph of f(x) to answer the following questions.

A: given function to find the limit

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R…

A:

Q: 3. Determine whether the given vectors are orthogonal, parallel, or neither. (a) a =, 6= (b) a =, 6=…

A:

Q: Part 2: Find the error(s) and solve the problem correctly Joe is asked to find the derivative of the…

A:

Q: 4 cos(t)-4 Use scratch paper to fill the table below, and guess the value of lim₁→ h(t), where h(t)…

A:

Q: Consider the following new revenue function: N(x)=20-x-51 The piecewise form will look like the…

A:

Q: For f(x)=x4, the instantaneous rate of change is known to be 32 at x =2. Find the equation of the…

A:

Q: de cos²0

A:

Q: Write the repeating decimal 0.83 as a geometric series. Select one: Ο a. Σ. 83 O b. 0 c O d. O e.…

A: Geometric series

Q: Given y = f(x), the [Select] at the point of (a, f(a)) is given by f(a+h) - f(a) h provided the…

A: The objective of the question is to identify the correct terms that fit into the given mathematical…

Q: Given that f is continuous on [0, π] and 6 TC [² x sin(x) 1 + cos²(x) πT dx xf(sin(x)) dx = π 2 T S…

A:

Q: Use the graph of f(x) to answer the following questions. (a) (b) lim 8118 f(x) = lim x-1+ f(x) = $

A: The graph of the function  is given below.:To find the following: Note: Since the student has…

Q: I need some help understanding this math rpoblem in my calculus 1 class. The limit is as t gets…

A: The objective of this question is to find the limit of the function (t^2-9)/(2t^2+7t+3) as t…

Q: A spring has a natural length of 12 cm. If a 30 N force is required to keep it stretched to a length…

A:

Q: Using the definition of continuity, show that the following function is continuous q(2) = ² at zo €…

A: The function is given byTo Show: The function is continuous at .

Q: Q3 Select all of the following statements that are true. If a and b are orthogonal, then proj, b is…

A:

Q: two cyclist are 117 miles apart, start riding toward each other at the same time. one cycles twice…

A: Given that, two cyclists are 117 miles apart and start riding toward each other at the same time.…

Q: A drag racer accelerates at a(t) = 70 ft/s². Assume that v(0) = 0 and s(0) = 0. a. Determine the…

A:

Q: Complete (a) and (b). You can verify your conclusions by graphing the functions with a graphing…

A:

Q: Use the limit definition to find the derivative of the function. 10 x ƒ (x) = First, find…

A: By using the limit definition to find the derivative of the following function.

Q: Question 20 x If ƒ (x) = 3x² – 8x – 5, find æ so that ƒ' (x) = 0.

A:

Q: where a = 23 14 [it's 4 10 b ƒ (x) dx − [° f(x) dx = - = [₁ f(² 4 and b= 15 f(x) dx

A:

Q: During the time interval 0 ≤ t ≤9, the rate of change of the population of deer in a forest, in deer…

A: The statement V′(7)=125 represents the derivative of the population function V(t) at t=7, which is…

Q: Determine whether the equation is exact. If it is, then solve it. (3x²y +8) dx + (x³ -8) dy = 0 For…

A: Given differential Equation is as follows

Q: Find all intervals on which the function f(x) = −3xe-2x² −4 is decreasing.

A:

Q: Total revenue is in dollars and x is the number or units. Suppose that the total revenue function…

A:

Q: -5 -4 -3 -1 I 2 3 4 5 Use interval notation to indicate where the functin above has... A) Positive…

A: Given:To Find: To determine the intervals where the above function has positive derivative and…

Q: Use the limit definition to find the derivative of the function. f(x) = x² - 4x - 5 First, find ƒ (x…

A:

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A:

Q: Cost, revenue, and profit are in dollars and x is the number of units. If the total profit function…

A: Given: The propift function is .To Find: To find the marginal profit and to describe its meaning.

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A:

Q: Let R be the region bounded by the following curves. Find the volume of the solid generated by…

A:

Q: find the derivative of x2y3 + 4xy = 2x using the implicit differentiation

A: Product rule of derivative

Q: Show how to use the Intermediate Value Theorem to show that the equation ² -√√2x = 1 has a solution…

A: The equation .The objective is to prove that the equation has a solution in the interval .