Subject: Calculus Topic: Limits and Increment method of differentiation. I. Limits A. Evaluate the following: NO Differentiation 1. lim (x³ + 2x²-3x + 1) x-2 D 2. lim (x43x² + 2x - 5) - 3. lim v10 w sin3bv tan2 av NO Diss.

Q: The vector (1, 0, -7) can be expressed in terms of standard basis vectors as following i-7k. Select…

A: Limit and vector

Q: Suppose that a company wishes to predict sales volume based on the amount of advertising…

A:

Q: (5) Find the rate of change of f(x, y) = 5xy² - 4x³y at (1, 2) in the direction of the vector 7=(5,…

A:

Q: A rectangle R with sides a and b is divided into two parts R₁ and R₂ by an arc of a parabola that…

A: Equation of the parabola? Since it's an upward parabola passing through the origin, so its general…

Q: Radioactive Decay Phosphorus-32 (P-32) has a half-life of 14.2 days. If 300 g of this substance are…

A: As we know that the radioactive decay is modelled by Q(t)=Q0ekt, where Q0 is the initial amount of…

Q: If a brick is dropped from a height of 41 ft., its position after t seconds is given by the function…

A:

Q: The log of the field metabolic rate (FMR) or the log of the total energy expenditure per day in…

A:

Q: 3. For what value(s) of x is the function f(x)=x2-27 discontinuous? What kind of discontinuity is…

A: Note: As per our Guidelines , we can solve first question . Please repost remaining questions.

Q: Locate and classify all extrema in the graph. (By classifying the extrema, we mean listing whether…

A:

Q: Find the solution of the system whose augmented matrix is 0 2 1 1 2 1 0 1 2 1 1200 13 101022 1 0…

A: We have to find the solution of the system whose augmented matrix is 102110101212001101022132

Q: Question 2 > Consider the point P(2,-1,-4) and the vectors a = and . (a) Find the unit vector u that…

A:

Q: the cost function for the given marginal cost functio 18.) C'(x)=x²-4x+2; 3 units cost $25 0.02 100

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Supposef is continuous on [2, 6] and differentiable on (2, 6). Ifƒ(2) = −9 and f'(x) ≤ 6 for all x €…

A: Mean value theorem

Q: Identify the modal (mode) sport from the survey results. Calculate the number of learners that chose…

A: All the subparts are solved below:

Q: 0. Find lim X-0+ 2 tan(x) X

A: We have to find the limit.

Q: 12. Find the volume of the solid formed by revolving the region bounded by the graphs of y=√√√x-2, y…

A:

Q: f(x)=cos(x), on [0,2π). solve f(x)=0

A: Given query is to find the Indicated angles .

Q: Find 1.3 2. None of these 3.2 4. 5. 2 | 33 | 2N 3 In ve².

A:

Q: 6. Let y = f(x) define a differentiable function the x-coordinate of the relative minima for the…

A:

Q: For the function f(x) given below, evaluate lim f(x) and_lim_ƒ(x). X→∞ X118 Provide your answer…

A: The given function f(x)=-(x+1)(x2+1)(3x2-2) We have to find the limx→∞f(x) ,limx→-∞f(x)

Q: 5. Find the arc length of the graph of f(x) = (²3)(x − 8)³/² on the interval [8, 16]. (a) 24 +…

A:

Q: Find the derivative of the function. y = (4t - 1)(3t - 5)-1 dy dt =

A:

Q: after both sides are intergrated are u squaring it? what is the symbol above the y and x

A:

Q: Goldsmith deposited $1000 in an account that earned simple interest at an annual rate of 6% and left…

A:

Q: Match each function with its derivative. f. 7. cos(x) + 8 X Y • x² + 3x 2.8 +7√x 4 sin x + x x7 . .…

A:

Q: You need to provide a clear and detailed solution for the following Questions: Work Problem 2 […

A:

Q: Suppose that the monthly cost, in dollars, of producing x chairs is C(x) = 0.004x³ +0 07x² + 15x +…

A: Since Multiple subparts are asked, I am answering the first 3 subparts.

Q: Find all complementary functions of the equation y" -6y' +9y=0. a. cos3x,sin3x b. e-3x.e³x C. e-3x…

A:

Q: Rewrite terms of logg (3). logg (9) O 1. logg (3) logg (3) 2. - logg (3) log8 (2) 3. logg (3) logg…

A: Topic = Algebra

Q: 2) Suppose that f(x) = 5x² over the interval [1, 2]. Let Ax = 1/n. Let x₁=1+iAx. Find the limit of…

A: Given: fx=5-x2.Formula to be used: ∑i=1ni=nn+12 ; ∑i=1ni2=nn+12n+16

Q: ifferentate: f(x) = COSX 1+sin x Apply the quotient ru

A: Topic:- application of derivatives

Q: Could I get this with a written answer on paper? This has almost no spaces and is mroe confusing

A:

Q: A. The graph of the function f(x) is given. E Find the following: 1. lim, 2 f(x) = 2.lim, f(x) = B…

A:

Q: 12 TL² (x+y-z) dz dy dx = 9 Nico 27 8 27 2 A O .BO

A: Option b is correct. This is question based on triple integration.

Q: A curve is represented by the equation 4y³ + xy - 5x + 4 = 0. Part A: Determine dy dx Part B:…

A:

Q: Find all complex zeros of the polynomial function. Give exact values. List multiple zeros as…

A: Given: fx=x4+7x3-6x2+84x-216 To find the zeros of the f(x) We can see that f(2)=0, it means 2 is a…

Q: A tank contains 4,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped…

A: Solution- given tank contain initially =4000 L salt is added = 35 g per L so rate at which salt in…

Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞o…

A: The given series is:∑n=1∞ 17n

Q: The annual average price per r foot for office space in a city was $30.89 in 2004, and it was $06 55…

A:

Q: A particular computing company finds that its weekly profit, in dollars, from the production and…

A: We need to find out the current weekly profit,

Q: Consider the differential equation -4y" + 5y" - 5y' - 3y = 0 with y(0) = -3, y'(0) = 3, y" (0) = 2.…

A:

Q: b) Express 1. In 3.4 1.22378 2. In 1.22378 = 3.4 el-22378 = 3.4 logarithmically.

A:

Q: A spotlight on the ground is shining on a wall 16m away. If a woman 2m tall walks from the spotlight…

A:

Q: Consider the double integral L = 1+2²³ + y² dy dz. (a) Sketch the region of integration for the…

A: Let's sketch the graph and evaluate double integral.

Q: 3. If f is the function given by f(x) = -x³ + x² + 3x-2, name the open interval where the graph of f…

A:

Q: Evaluate x√√21x² + 21y² dA, where D is the shaded region enclosed by the lemniscate curve ² =…

A:

Q: 14. sin 23; exact value of: given: sec B = -3,<B<t 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A particular solution of 2y" + 4y' + 7y=x²

A: The given equation is; 2y''+4y'+7y=x2

Q: Evaluate x√√21x² + 21y² dA, where D is the shaded region enclosed by the lemniscate curve ² = 0.5…

A:

Q: Research at least two (2) other methods of solving simultaneous equation with three (3) variables…

A: