Consider the point. (1, 2, 6) What is the projection of the point on the xy-plane? (x, y, z) = 1,2,0  What is the projection of the point on the yz-plane? (x, y, z) = 0,2,6  What is the projection of the point on the xz-plane? (x, y, z) = 1,0,6  a rectangular box with the origin and  (1, 2, 6)  as opposite vertices and with its faces parallel to the coordinate planes.all vertices of the box. Find the length of the diagonal of the box _____________

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

A: To find the integral

Q: 3) Using the Fundamental Theorem of Calculus (FTC), find the exact values of the following definite…

A:

Q: Sit/ If r(t) = cos(t-1) i + sin (t-1) jitzo Does the particle have constant speed? If so, what is…

A: given position vector is

Q: obtain differential equation for the family of curves of the equation y=Ae^x/(1+Ae^x)

A: Given Equation of curve

Q: Solve the following linear system equations using inverse method x+y=z, 2x -y + 6 = 2z, and x + z =…

A:

Q: Find the limit as x→ ∞ of the function exp(7.7-9.4x) + exp(9.6+1.7) with the precision of 2 decimal…

A:

Q: 2. Using complete sentences, explain why the three graphs below have the same limit as x approaches…

A:

Q: The high school drama club earned $855 after selling 255 tickets. The student tickets were $1 each,…

A: The high school drama club earned $855 after selling 255 tickets.The student tickets were $1 each,…

Q: Find the area under the graph of f(x) = 4-2 and above the graph of f(x) = 0 for æ in [2, 8] by…

A: The region bounded by under the curve above  the curve for

Q: a) Apoint P (4₂4) is in (X,Y) coordinate Express this point in form of polar coordinate (v₂0) 2 form…

A:

Q: 15. Suppose g(x) = [2x + 1 if x # 0 5 if x = 0. Compute g(0) and lim g(x). X

A: The given function is,g(x)={2x+1,ifx≠05,ifx=0For g(0) we have x=0 and for x=0 our function…

Q: Find the area of the region enclosed by the parabola y = 2 - x² and the line y = -x.

A:

Q: 1 Let f(x)=x²e² the value of — lim [ƒ(x)]¹/* i is: a) b) 1 d) 1 e c) 0 1 -19 4e

A: Given that a function f(x) and we find the value of limit.

Q: Use the graph of G shown to the right to find the limit. When necessary, state that the limit does…

A: As we can see from the graph,The left-hand side limit of the function at x=3 is 4 so we can write…

Q: T 1 m Į 1-1/² -y=1 -2 m x

A:

Q: why is the derivative of (sin(bx)ln(a)) = (ln(a)cos(bx)b)? why is ln(a) treated as a constant?

A: We have the following expression:sin⁡(bx)ln⁡(a)Here x is the variable and a,b are constants

Q: Which of the series α) x − x³ + x6 − x¹0 + x¹5 b) X x² x3 xs .... are power series?

A:

Q: Use the method of integrating factor to solve the following differential equation: y'+y=e-x

A: Thw given differential equation is

Q: Establish an integral to determine the Laplace transform of f(t) = 5 F(s) = £ {f(t)} = {² Where A= &…

A:

Q: Q65 8t Applying the shifting property to ascertain the Laplace transform of est cash (at)…

A:

Q: C₂ Derive plane equation is space. ax+by+CZ = d

A:

Q: [(8y-3)-4dy

A:

Q: Use a change of variables to evaluate the definite integral Enter an exact answer. π/4 sec (7t)…

A: The given integral is .The aim is to calculate this integral value.Formulas used:

Q: Calculate the integral approximations T4 and M4 for -2 (In x)-² dx. Your answers must be accurate to…

A:

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for…

A: To estimate the instantaneous rate of change of daily receipts 14 weeks after the opening day, you…

Q: (a) x²ex

A: the function given is As per the rules, we are supposed to answer the first question, and the rest…

Q: Find the unit vector u; if v = (-3,-4) 13 =

A:

Q: 10. For f(x) = xe-x², a. Give in interval notation the intervals where f is increasing and where fis…

A:

Q: Let F =< xe, xe, zey Use Stokes' Theorem to evaluate where [[ curlF J curlF.dS, S is the hemisphere…

A:

Q: Pls help me with the accurate solution on a clear worksheet I am so tired of getting wrong answers…

A:

Q: 1.3 Question 1 Differentiate each of the following functions using the Product, Quotient or Chain…

A: Note: I am using product rules for differentiating each function as asked.

Q: The one-to-one functions g and h are defined as follows. g={(−8, −5), (-2, 5), (6, 9), (9, 8)}…

A: We are given that g and h are one to one functionsand are defined as  and

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A:

Q: Compute the indefinite integral S 2dx x(lnx)2 ab sin (a) 2dx S x (In x)² 8 f дг 8 E ESH

A:

Q: Suppose that the function fis defined for all real numbers as follows. -10+xif -4<x<4 x24 √(x) =…

A: Drawing the graph of the function for

Q: Below is the graph of f(x) Determine the following Image Attached

A:

Q: Line 1 is defined by slope m = 3 and y-intercept (0, −2). Line 2 passes through the point (3, 5) and…

A: Line 1 is defined by slope m = 3 and y-intercept (0, −2). Line 2 passes through the point (3, 5) and…

Q: 9. Explain how you would use the alternating series test to show the following series is convergent.…

A:

Q: lim t→2 1 t+5 === 7 t-2

A: let

Q: Find the volume of the solid generated by revolving the region bounded by y = 5√/sinx, y = 0,and x₁…

A:

Q: 1. (a) Write a Riemann sum approximating the area of the region in Figure 8.13, using vertical…

A:

Q: Graph the given function and then find the specified limits. If necessary, state that the limit does…

A: The given function is,Here the function is continuous for all real numbers. so we can write.

Q: 6) Let F(x, y) = [sin(y)- y² + 1] lx cos(y) - 2xyl Is F conservative? If so, give a potential…

A: We have F(x,y) functionWe have to find F is conservative or notAlso find potential fuunction of…

Q: Local Max and Local Min. Justify your answer with reference to the graph of this function and the…

A:

Q: Consider a third-degree polynomial f(x), which has the properties f'(1) = 0, f'(3) = 0. Determine…

A: Since you are asking question with multiple subparts. We are answering only the first three subparts…

Q: 2) Let g(x, y) = x³ − 6x² − y + 5. Find and classify the critical point(s) of g.

A: g(x,y)=x3−6x2−y+5

Q: Verify that the following functions u is harmonic, and find a conjugate harmonic function v. u(x, y)…

A:

Q: Use the graph of the function y = g(x) below to answer the questions. -5 (a) Is g (5) positive? O…

A: A graph of the function is given.The aim is to find  is positive or negative, to find the value of…

Q: dy dz (Interchange the order of integration first.) 1

A: Given double integration

Q: Find ³4.6 x5/7 $4.6 x5/7 dx with the precision of 2 decimal places.

A: