The base of a sc x² + y² = 16. x² + y² = 16 → x oss-sections perpendicular to the x-axis are eq ngles.

Q: Problem 8. Find a parametrization of the curve of intersection of Z= and y=e* from (0, 1, 0) to (1,…

A: "Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 1. The instantaneous velocity of an object moving along a horizontal line relative to a fixed point…

A:

Q: Find the plane determined by the intersecting lines. L1 x= -1+3t y=2+2t L2 x=1-4s y=1+2s z=1-t…

A:

Q: Find the volume of the given right tetrahedron. (Hint: Consider slices perpendicular to one of the…

A:

Q: (1) Find the solution of the given initial value problem. t³y + 4t²y = e-t, y(−1) = 0

A: Let's solve given differential equation.

Q: Question 3. Find both the vector equation and the parametric equations of the line through (-3, 4,…

A:

Q: The following table records some values of the functions f and g. X 012 34 5 f(x) 1 0 3 10 21 36…

A:

Q: PART ONE: f(x) = ab* In this part, you are going to explore the behavior of the function using…

A:

Q: A rock is dropped off the edge of a cliff and its distances (in feet) from the top of the cliff…

A:

Q: 3. Determine the slope of the secant to the given curve between the specified values of x. a.y=x²…

A: To find the slope of the secant for the given curve.

Q: Suppose that is in the third quadrant (so that π < 0 < ³7) and tan(0) = 4.5. Compute cos(0). Enter…

A:

Q: f(x³ + 3√x - dx

A:

Q: 2. Find the area of the regions enclosed by the parabolas y = x and y = 2x − x²

A:

Q: QUESTION 1 Let F(x,y,z)=2yzî+5x2zî+ 1xyk. The magnitude of Curl F at (4,2,1) is equal to: O…

A: Given;  F(x,y,z)=2yzi+5x2zk+1xyk at(4,2,1) Repost the next question.

Q: An object dropped from a height of 240 feet will fall according to the equation h(t) = 240 — 16t²,…

A:

Q: © Evaluate the line integral [F(x, y, z) = 2î+xystyk and C is given by F(t) = +²₁++ ³5-tk, ost≤1

A:

Q: The following table records some values of the functions f and g. X 0 1 2 3 4 5 f(x) 1 0310 21 36…

A:

Q: The following quadratic function is given: f(t) = 5t²-7t + 25. i) ii) Use first principle to find…

A:

Q: f(x) 2 ta 1 -1 if x # 1 if X=1 al

A:

Q: 1. a. Write a set of ordered pair that defines the relation given in the graph. -0 b. Write the…

A: We see all values from given graph .

Q: Sketch the graph of y'=ly with y(0) = 1 yo

A: Given :

Q: find a problem on a system of nonlinear equations using elimination, substitution determinants that…

A: Given: System of equations results x=4 and y=6 Problem: The sum of the squares of the two numbers if…

Q: The average value of f(x) = 1 √₁²-22 on [0, 1] is

A: Given function:- fx=11-x2

Q: The graph of a function f is given.  A. At what numbers a does the lim x>a not exist? B. At what…

A: Here we have to observe the graph.

Q: 1) f(x) = x²(x − 3)

A:

Q: Cooper Section 1.6 #11 Use the tax table on page 27 to answer the following questions. a. Find…

A:

Q: Let P(x) = (x - 1)(x - 2)² (x-3)³. Find the set of r such that x (a) P(x) = 0, (b) P(x) 0.

A:

Q: A C OF E G B H D |AE| = 89.7 cm, |EB| = 541 cm, |CF| = 218 cm, |DH| = = 119 cm 18. Find BH and CG.…

A: Let's find BH,CG ,AREA AND PERIMETER OF FIGURE.

Q: 1) If f(x) = x²(2), find f'(2)

A: f(x)=x2∫2xdtt2+5we know  d dx(∫axf(t)dt)=f(x)×d dx(x)-f(a)×d dx(a)

Q: Solve the Initial value problem (dy/dx)-y=7ex+12e7x with y(0)=9

A:

Q: 2) f(x) = (x + 4)(x - 2)²

A: To find out the x-intercepts and y-intercepts, b) odd or even multiplicities, c) power function, d)…

Q: CHA ACTIVITY Enter binary numbers using four digits. Ex: 0001 446390 3160198 4x3z0y7 Conu Jump to…

A:

Q: Find the point at which the line r(t) = (7, −7, 4) + t(−6, 6, −8) intersects the az plane.…

A: To find the point where the line intersects xz plane

Q: Let ä(t) = (–5, 3, −3)t + (−1, 2, −5) and b(u) = (-4,-1,2)u + (−3, 6, −5). Find the acute angle (in…

A: Given lines equations:- a→t=-5,3,-3t+-1,2,5 b→u=-4,-1,2u+-3,6,-5

Q: 6. What is the slope of the line y = -7? 7. What is the slope and y-intercept of the line of the…

A:

Q: 14. -5 -4 -3 -2 -1 3 2 1 -1 -2 -3 -4 40 2 3 4 5 16. 40 3 2 1 3 4

A:

Q: 1. Find the exact volume of the solid obtained by rotating the region bounded by the curves y = cos…

A:

Q: Evaluating an Arithmetic Combination of Functions In Exercises 19-32, evaluate the indicated…

A:

Q: e

A: The function is given as  f(x) = x2and10x The critical points of the function is obtained when…

Q: Find a parameterization for the curve shown in the figure below. -1 1.8 1.0 r(t) = where 9- <t<…

A:

Q: Evaluate the line integral 5xy² ds, where C is the right half of the circle x² + y² = 9.

A: Evaluate line integral

Q: 9. The function given by y = f (x) below shows the value of $5000 invested at 5% interest compound…

A:

Q: Find two different planes whose intersection is the line x=3+t​, y=−2−t​, z=1−5t. Write equations…

A: Given: Intersection line equation: x = 3+t ..................... Eqn (1) y =-2-t…

Q: A drug is administered intravenously at a constant rate of r mg/hour and is excreated at a rate of…

A:

Q: If the equation  P=13(2.6)^t is rewritten in the form P=P0e^kt What is P0? What is k?

A:

Q: Let r₁(t) = (-7, -3, −2) + t(0, −1, −1) and r₂(s) = (-1,1,5) + s(2, 0, 1). Find the point of…

A:

Q: (a) If x and y are real numbers and x² - y² = 0, then.x = y. (b) If the integer x is a multiple of…

A:

Q: The Trapezoidal Rule approximation for 1.₁. cos(x) x de with n = 5 is:

A:

Q: Determine whether the lines L₁ : r(t) = (−3,−2, 0)t + (3, —2, 2) and L2: p(s) = (3, 2, 1)s + (−9,…

A:

Q: пn n!

A: We have to find the limit value .