.1 Simphiwe bought meal tickets to use at the school's cafeteria. E requires 2 tickets, and she bought 14 tickets in total. She has already u of the tickets, and she still has some left. 2.1.1 Write four equivalent expressions that gives the number Simphiwe has left in terms of x, where x is the number of meal already bought. 2.1.2 14-2x represents the number of tickets Simphiwe has left bought x meals. How can 14, -2, and 2x be interpreted in terms and meals? 2.1.3 2(7-x) also represents the number of tickets Simphiwe has she bought x meals. How can 7, (7-x), and 2 be interpreted in tickets and meals?

Q: The volume of the box is 54 cubic inches. The material for the top cost $0.08 per square inch, for…

A:

Q: 7л Determine the exact value of cot 6

A:

Q: 10. Explain what it means if a. 6 = 0

A:

Q: A piece of cardboard measuring 8 inches by 10 inches is formed into an open-top box by cutting…

A:

Q: Part A The population p, in thousands of bacterial colonies on a kitchen bench can be modelled by…

A:

Q: Evaluate [/FO f(x, y, z) ds. f(x, y, z) = xy Z S: z = x² + y², 9 ≤ x² + y² ≤ 81

A:

Q: Use the geometric series f(x) = f(5x) = 1 1-5x ∞ Which of the following is the power series…

A:

Q: 5. Evaluate f(x) = 3x² - 3x + 1 for f(-1). a) 13 b) 7 c) 0 d) 4

A:

Q: If {an} and {bn} are divergent, then {an bn} is divergent. Select one: O True O False

A: The objective of the question is determine the choosing the correct option.

Q: 10. Evaluate f(x) = 10-4x for f(3). a) 23 b) 2 c) 22 d) -2

A:

Q: Sam makes $25.00 per hour. He gets paid time and a half for overtime. He gets paid every week. He…

A:

Q: 12. What transformations are applied to the parent function f(x) = x² to obtain the graph of the…

A:

Q: 9. Compute the area of the region in the ry-plane wich is bounded by the z-axis and the curve r(t) =…

A:

Q: 6. Find the area bounded by the curve ay = x² and the lines y = a and y = 4a.

A:

Q: Test and k=/ each name K+ k³+1 of all the tests following. you for use. Conver

A:

Q: 7. Evaluate f(x) = 9 - 8x for f(-3). a) -15 b) 33 c) 20 d) none of the above

A:

Q: Find the curvature x for the curve y = x - K = x² at the point x = 2.

A:

Q: c) 2x²8x + 4x³ - 4

A:

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x² + y² = 4 and…

A:

Q: -2-1 5 HA 4 у 3- 2 1 1 2 3 4 5 6 7 2 8 9 10 K

A:

Q: Use following se k Z K-I the integral test Series to decide converge

A:

Q: Calculate the following definite integral: 2x² + 5x dx

A: Given ∫022x2+5xdx

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where…

A: Given that: Cx=0.01x2−3x+229Rx=429−2x To find the area between the graph.

Q: Find -(4²). Type In(x) for the natural logarithm function. da (4²)

A: Topic = Derivative

Q: 8) FIND THE INTERVAL OF CONVERGENCE FOR Σ (-1)" x 1=2 n2^ n

A: The given series: ∑n=2∞-1nxnn2nWe need to find the interval of convergence.

Q: What is the form of the particular solutiony for the P differential equation y" - y = R(x) where…

A:

Q: 1. Use the Mean Value theorem to show that for any two real numbers a and b, we have | sin b - sin a…

A:

Q: Find the unit tangent vector T(t) for r(t) = 4ti + 7t²j + 3tk. T(t) =

A:

Q: Sketch the region enclosed by y 7x and y = 6x². Find the area of the region.

A:

Q: What is the general solution to the the differential equation3y "'-y'- 2y = 10e? A B v=C₂₁e (²/³) x…

A:

Q: Given r(t) = 9t² i + 18tj and t = 1, find the tangential and normal components of acceleration. ат…

A:

Q: d) Hence form a conjecture for the derivative of functions in the form y = (ax + b)². e) Prove your…

A: As you have mentioned I am answering Question (d) and Question (e)

Q: f(x) = √x²-2 7+|x6| S if x < 2 if x ≥ 2

A:

Q: 2 area of region .25 and 2 Use horizontal strips to find the area, that is, integrate with respect…

A:

Q: 2. Given the vectors à = (a₁, a₂, a3) and b=(b₁,b₂, b3) show that a × b = -b xã.

A:

Q: tan' (2)

A:

Q: 10 times as many as 1 hundred is_______ hundreds or ________ thousand

A:

Q: Consider the points A(3, 5, 1), B(7, -1, 0) and – C(-1, 3, 4). Find 2AB + BC. O(-1, 2, 3) O(0, -10,…

A: The given points are A3,-5,1, B7,-1,0 and C-1,-3,4

Q: Let f(x) = x³ + 3x² (a) Use the definition of a derivative or the derivative rules to find f'(x) =…

A:

Q: 2. (xy + x) dx = (x²y² + x² + y² + 1)dy

A:

Q: Find the inflexion point(s) of f(x) = x²-3x²³

A:

Q: Find the average value of the function over the given Interval. (Round your answer to three decimal…

A:

Q: 1. Find the area under one arch of the curve y = cos- :cosex.

A:

Q: dr Let A be the area of a circle with radius r. If dt = 2, find dA dt when r = 4.

A:

Q: Consider the set A = {1/2^{n-1}: n\epsilon \mathbb{N}}. Show that Inf(A) = 0. WITHOUT USING LIMITS

A:

Q: Find the length of one turn of the helix given by r(t) == cos(t)i + sin(t)j + 1 1 99 25 -tk.

A:

Q: b) 2 1/2 dx x(lnx)4

A: Topic:- integration

Q: Two cars are moving towards an intersection. One car is 170 meters north of the intersection and…

A:

Q: Below is the function f(x)., 17+ 6 5 4 3 2 7 -7 -6 -5 -4 -3/-2 -7 -7 -2 -3 -4 -6 71 1 2 3 4 5 6 7…

A: Please see the below picture for detailed solution.

Q: Find the Indefinite Integral and check your result by differentiation. (Use C for the constant of…

A: