V The size of a balloon is changing with respect to time, such that the volume is given by V(t), where V(t) is measured in cub centimeters and t is measured in seconds. A tangent line is shown for V(t) at t = 2 seconds. Determine the best estimate the value of the instantaneous rate of change for V(t) when t = 2. 8 AV(t) 2 7 V(lim t) t-1 6 5 4 3 2 1 0 -1 -2₁ V(2)-V(1) 1 V(t) y V(2.01)-V(1.99) 0.02 0 1 2 3 4 5 6 7 x' 8

Q: Q / If you have the quadrilateral matrix below, then the determinant of the matrix is /A/ A) = 0.2…

A: Given:…

Q: (D³5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4;y" (0) = 17 ubstitution and Elimination in Finding the…

A:

Q: 53. Prove the following limit formula for e: e = lim (1 + x) ¹/x x⇒0

A:

Q: When the left-hand limit and right-hand limit of function f (x) as x→a exist and are equal, then…

A: The left-hand and the right-hand limit of the function fx as x→a exits and are equal.

Q: Which of the following is an integrating factor for the differential equation dy/dx-y=1? A 2e B In x

A:

Q: b/the limit of √1+x+1 lim X→0 X 02 O 1/2 O 0

A:

Q: For a binomial test, if pn = 30 and qn = 90, what is the value of p? Op = 0.25 Op=0.30 Op=0.60 Op =…

A:

Q: A bank offers 8% compounded continuously. How soon will a deposit do the following? (Round your…

A:

Q: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

A:

Q: Find the value of $800 deposited in a bank at 10% interest for 10 years compounded in the following…

A:

Q: Question 8 What is the order of the differential equation .x²dy/dx - 2xy"=0?? A) 1 B 2 3

A: The order of the given differential equation is 2

Q: Sketch the graph of the function by first making a table of value H(x) = |3x| X -3 -2 -1 0 1 2…

A: We can solve this as follows:

Q: 10. 2 S² (y - 1X(2y + 1) dy

A:

Q: Is the differential equation y2dx + 2xydy=0 exact? A NO B YES

A: To determine whether the given differential equation is exact or not.

Q: Find the next term of the sequence: 2, 4, 8, 16, 32,

A:

Q: (d) x4 - 6x³+72x²-x-2=0

A: Topic = Polynomials

Q: b/ by using Chain Rule, the derivative of - sin 2t) is g(t) = tan (5

A: Solution

Q: a/the result of ооо . 2п О 1 -1 sin x dx

A:

Q: Determine the domain and range for the graph below. f 3 2 H -5 -4 -3 -2 -1 a. Domain: b. Range: 1 -2…

A: We can find the domain and range in the below steps.

Q: c. y=234* dx In² (2)ln (3).34*.234*+ d. [(z)=nz+z² I'(z)= +2x+1

A: Rule for differentiation  d(ax)/dx  = ax ln(a)

Q: Solve the differential equation dy dx = x6+4y x

A: NOTE: Refresh your page if you can't see any equations. .

Q: B Which of the following is an example of a discrete variable? Oheight Oreaction time number of…

A:

Q: .Identify the values of a, b, and a that could be used with the quadratic formula to solve the…

A: 2.

Q: y=Get+Cocos x + C3 sinx

A: Since in this equation there are three arbitrary constant so differential equations is of order 3.

Q: dy xy-y+2x-2 dx xy+2y-x-2 y(-1)=-1

A: To find the solution of differential equation

Q: Evaluate the integral sin 3x 2+cos3x dx by making appropriate u- substitution.

A:

Q: 38. f(x) = = 1 3x - 2³ C=-1

A: We can solve it as follows for Taylor's series.

Q: Prob 4 Evaluate Лет x→∞0 lim x-00 orctan (ex) 4-ex 1+20x and

A: 1) L=limx→∞arctan(ex) Direct substituting the limit:   L=arctan(e∞) e∞=∞ So, L=arctan(∞) We know…

Q: 1. f de 1-cos 8

A: Since you have posted multiple question in this question and i can solve first question as per our…

Q: Estimate the slope of the graph at the point (x, y). (Each square on the grid is 1 unit by 1 unit.)…

A: NOTE: Refresh your page if you can't see any equations. . as we can see from the graph, points…

Q: ex 27. Σ(−1)″ n³ (x − 7)″ n=1

A:

Q: a/the derivative of the following function is y = x² - sin x

A: As we know that; The Sum/Difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 And the common…

Q: 1)Find a b. |a| = 5, |b| = 6, the angle . between a and b is 45°

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: (a, f(a)) or a f (a) is shown above for a ≤ x ≤ b. The derivative of f exists for all x in the…

A: Given : f(b)-f(a)b-a gives slope of graph.

Q: Q2: A: Find the volume of the region enclosed by the cylinder x² + y²4 and the planes z 0 and y+z=4.…

A:

Q: Find the center and radius of the circle. (x + 5)2 + (y - 3)² = 4 (x, y) = ( center radius Cleotab…

A:

Q: dz If z = f(x, y) = x² + 2xy² and (x(t), y(t)) = (cos 2t, 2 sin t), use the Chain Rule to find…

A: We have to use the chain rule for finding the required derivative

Q: C. Determine the differential equation on which the general solution is given or describe below by…

A: Since you have asked to answer question no. 4, we will solve that question.Question 4.We need to…

Q: Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x? A B c) y = 3x + C y=e³x + C y=Ce…

A: If ln|y|=x  Then we have, y=ex

Q: dy 1. = dx xy-y+2x-2 xy+2y-x-2 y(-1) = -1

A:

Q: Given the function f(x, y, z) = (sinx)(cosy)(ln z), find the total derivative with respect to x,…

A:

Q: 7) g(n) = 2n² - 4; Find g(-2)

A: Given: gn=2n2-4To find: g-2=?

Q: Se 2x dx

A:

Q: 56. 6. -2/√3 dx -2 |x|√x²-1 [²

A: Solution is given below:

Q: Solve the following differential equations. Show your complete and detailed solutions. 3. (y²sin2x)…

A:

Q: If you know that lim f(x) = x

A: Topic:- function

Q: Find the perimeter and area of th rectangle that is 4 m * 0.5m

A:

Q: i. f(x) = 1 1 – 2x

A:

Q: The curve y2 - x5= -5x is a solution to the differential equation y' = (2x-5)/2y

A: Integrate by seperation of Variables

Q: A bank offers 4% compounded continuously. How soon will a deposit do the following? (Round your…

A: