Q1/ Estimate f (1.72) from the given data using Newton's Backward Difference Formula: 1.7 1.8 1.9 F(x) 0.397 0.339 0.282 0.224

Q: At what rate is the distance between the planes changing? Step 1 Let s denote the distance in miles…

A: Topic:- geometry and application of derivatives

Q: 2n br 3n

A:

Q: Points A and B are separated by a lake. To find the distance between them, a surveyor locates a…

A:

Q: 22 – 9x? = 1 4.

A:

Q: Evaluate the following limit: (x- 2)2 – 4 | lim If it does not exist enter DNE.

A:

Q: f .5 p(t)dt = 24 3 and .5 | p(t)dt = 9.6 vhat does the following integral equal? p(t)dt = 3

A: Us definite integration property

Q: Find the volume of the solid that results when the shaded region is Y = x revolved about the…

A:

Q: Problem 2: Use the First Fundamental Theorem of Calculus to answer the ff. If F(x) = tvt +1 dt,…

A:

Q: Suppose A = (a, 0, 2) and B= (6, –2, b), for some a > 0 and b> 0. (a) If projĄB = 12 24 =,0,), find…

A: Suppose A=a, 0, 2 and B=6, -2, b, for some a>0 and b>0.If projAB=125, 0, 245, then to find the…

Q: Use the information given about the angle 0, 0< 0 < 2n, to find the exact value of the indicated…

A:

Q: Find f"(-1) if Ax) = (x² -x+1)(x +1). O -1 3. O -3 9.

A:

Q: Find the volume trapped between the cone z = 2 – Vx² + y² (upper) and the paraboloid z = x² +y².…

A: We need to find volume.

Q: B. Evaluate the following 1 dx 2. 2 tan(x)dx 3.

A: We have to slove above question

Q: Is this series convergent or divergent?

A: This question can be solved using the concept of root test.

Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A: Answer and explanation is given below...

Q: Q2) Solve the D.E dy + (xy – xy²)dx = 0

A:

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = %3D

A:

Q: 1 sin? (0)d0 2

A:

Q: find the derivative and simplify the answer sin² (esin t) + cos-{(2t3 – 5)

A:

Q: 24. y' + y = -x/y

A: We have to find the solution of the given differential equation.   According to our guidelines we…

Q: Problem 1 (а, Find the first partial derivatives of the function f(x, y) = x²yVy + 4y2. (b) fxyx of…

A: fxx,y = ∂f∂x  ;  fy(x,y) = ∂f∂y. fxyx(x,y) = ∂∂x∂∂y∂f∂x

Q: Each of the regions A, B, and C enclosed by the graph of f and the x-axis has area 6. Find the value…

A:

Q: 4 r4-y Evaluate triple integral , S S dz dy dx -2

A: We have to evaluate the triple integral  ∫-22∫x24∫04-ydz dy dx.

Q: Σ (-1)" n=1 3-4n-1

A: topic - geometric series

Q: Find f"(2) if Ax) %3D x² - 3* 08 O -7 4 O 2

A:

Q: Consider the integral 5 x (z° +1) dx. In the following, we will evaluate the integral using two…

A:

Q: Which number sentence correctly compares two numbers? 24 A forty-six thousand three hundred fifteen…

A: Explanation of the answer is as follows

Q: Let C be the line segment connecting the point p = (2,5, 0) to the point q = (0,6, –5). Find a curve…

A:

Q: Question You are stationary on the ground and are watching a bird fly horizontally towards you at a…

A:

Q: 2. Evaluatef dx. A. x+ C В. х C. -x + C : Antidifferentiation D.-x 3. Addition: Subtraction as A.…

A:

Q: Let a = ci + jand b = 7i + 49j. Find c so that a and b are orthogonal. C = i

A:

Q: Q5/ Use Linear Regression to fit the following data: 1 4 5 6. Y 4 9 10 10 9 8 3

A: From given data

Q: Find the directional derivative. g(s,t) = s√t , (2,4), v = 3i - j

A: Given:         g(s,t) = s√t ,         Point: (2,4)         v = 3i - j

Q: (a).x = 61, y = - 4 + 7t O (r, y) = (0,4) + «(6, 7) ai + bj = 4j + 1(6i + 7j) O (1, y) = (6, 7) +…

A: topic - equation of a line

Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: Solve the following

Q: Q2) Convert the polar function r tan20 to cartesian.

A: We have to convert polar equation into Cartesian equation

Q: Q2) Solve the D.E dy – (2x/1- y²)dx = 0

A:

Q: Cha invests Php5,000 in an investment that earns 5% per annum. How many complete years does it take…

A: The given problem is solved below in detail.

Q: Use a geometric series to represent each of the following functions as a power series about x 0.…

A:

Q: Evaluate the following integral using Trigonometric Substitutions Method: dx y 9x2 + 16

A: We have to solve above question

Q: What is the particular solution of the equation 2ydx - 3xdy = 0 when y=1 and x=1?

A: Solving the differential equation by seperation of variables.

Q: Solve the D.E dy – (2x/1- y2)dx = 0

A:

Q: 3-x QI) Evaluate the integral S* dy dx using polar coordinate

A:

Q: 4. S cot?x dx

A:

Q: csc ² 5x cot 5x dx, can be evaluated conveniently using Trigonometric Transformation. A True B)…

A:

Q: Q5/ Use Linear Regression to fit the following data: 1 3 4 Y 4 9 10 10 8. 00

A: Follow the procedure given below.

Q: Find (a) if fx) = /x-a+1.

A:

Q: 0.125 А. f(8t) dt | 0. 0.25 B. f(1 – 4t) dt = 2.5 c. f(5 – 2t) dt =

A: Given that,

Q: Find f"(-1) if Ax) = (x). -6 O -5 O 5

A:

Q: 4. sin x dx 2.

A: Solving question number 4