Use a linear approximation (or differentials) to estimate the number V100.5

Q: 3 dx a) 3- x

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

Q: 4. [Geogebra Question] Let f(x) = (1– x) In(x*) +3.0225887223. Use Geogebra to find the definite…

A:

Q: VECTOR DIFFERENTIATION: If A = cosxyi + (3xy -2x^2)j –(3x +2y)k find dA/dx, dA/dy, d^2A/dx^2,…

A: I am attaching image so that you understand each and every step.

Q: SIn?C3x) +C 4

A: To find the missing value in the integral expression.

Q: To save for graduate school, a student invests $1780 semiannually in an ordinary annuity with 7%…

A:

Q: Find the area of the region under the graph of f(x) = 2x² – 4x + 2 on [-2, 3].

A: Given query is to find the area under the curve.

Q: Find the point on the surface f(x,y)=x2+y2+xy-26x+29y at which the tangent plane is horizontal.

A: For Given surface f(x,y) The slope of horizontal tangent plane is equal to zero.

Q: An equation and, its graph are giiven. Find an inequelity whose sotution ia the shaded region.

A:

Q: 33. y" + y' + 2y = 0, y(0) = y'(0) = 0 ||

A: Find your answer below

Q: Can you find the next term in the following sequences? 1. 7,7,7,7,7,... 2. 3,-3,3,-3,3,... 3. 1,5,2,…

A: According to Bartleby's policy we are allowed to solve only 3 subparts of a question. Apologies for…

Q: 1. The sides of a square decrease in length at rate 2 m/sec. At what rate is the area of the square…

A:

Q: d²y #3. Find if x' + y' = 9 dx? |(-1,2)

A: x2 + y3  =9 now differentiate it  2x + 3y2(dy/dx) = 0 dy/dx = -2x/3y2 now agian differentiate with x…

Q: Given sin(1 - 2). y z = sin(1 – x = 2 – ts and y = 2t – s z = sin( 1 dz then calculate * when t = -1…

A:

Q: Use the integral test to determine whether the following is convergent or divergent. Vn(1+/n)

A: Solve the following

Q: lim (5x + х+ 3,

A:

Q: Solve. X-X-192x-4

A:

Q: f(x) = ×2 + 2x - 2 then f(-2) =

A: Given query is to find the value of the function at indicated point.

Q: Find the (natural) domain of the function x + 1 2х — 1 f (x) = Select one: a. (-0, –1] U (1/2, ∞) b.…

A:

Q: A wire of length L- 100cm is divided into two parts. One forms a circle and the other forms a…

A:

Q: Find the gradient of the function at the given point. f(x, y) = 3x + 4y2 + 10, (3, 4) ∇f(3, 4) =

A:

Q: 8. A rancher has 200 feet of fencing with which to enclose two adjacent rectangular corrals (see…

A: topic - application of derivatives

Q: integrate the following:  Ue the U-substitution. ∫3/(√4x2-12x+9) dx

A:

Q: In Exercises 36–57, determine whether the series converges. 36. ) 37. E n+1 n³ n=1 n=1 (-1)²-1 n+1 2…

A: NOTE: Refresh your page if you can't see any equations. . here we have here f(n) is positive,…

Q: 2.* 3 S(x* + 2x - 1) cos 4x dx 3x2 +. 16 13 х 13 sin 4x + 4 cos 4x + C 32 128 B 13 х (3x2 sin 4x + 4…

A:

Q: If F(r) = 5 sint dt, then F'(r) =

A:

Q: 54) Which of the following series converge? n2 + 2 a) Σ п3 — п +5 n2 + 2 b) L n5 -n+5 п5 — п n=1 00…

A:

Q: er the function f(x) = 2x° + 21 36x + 4. For this function there - - ree important open intervals: (…

A: We will find the first derivative.

Q: sin° (3x) cos* (3x)dx 4 COS

A:

Q: 2. The set of all rational numbers in the interval (0, 1).

A:

Q: (x + 1)³sinx dx x+1)° cosx+3 (x + 1)2 sin x-6 (x + 1)cosx-6 sinx+ C | (x + 1) cos x 3 (x + 1)2 sin x…

A: Solving the problem by finding the integral by oarts method.

Q: The shape of the Gateway Arch in St. Louis is approximately a parabola with a base and a height…

A:

Q: 1 dx x2 V25 – x2

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

Q: Find the derivative of the following using First Principle. 4) y = -2x2 + 3x – 12 5) f(x) = x2 + 15x…

A:

Q: 2. A company's total sales (in millions of dollars) t months from now are given by S(t) = 2Vt + 6…

A: given comapny sales s(t)=2t+6

Q: The gcd of 7544 and 115 is: O 23 O 15 O 3

A:

Q: The figure below shows.the rate of change of a fish population. Estimate the total change in the…

A:

Q: A conical water tank with vertex down has a radius of 13 feet at the top and is 30 feet high. If…

A: Given,            A conical water tank with vertex down has a radius of 13 feet at the top and is 30…

Q: A juice company has found that the marginal cost of producing x pints of fresh-squeezed orange juice…

A:

Q: 5. cylinder filled with water has a 3.0-foot radius and 10-foot height. It is drained such that the…

A: We have to find the rate at which water is draining from the cylinder.

Q: a) How many three digit numbers are there that are not divisible by 5? b) there are 12 contestants…

A:

Q: 00 1 25. nº – 7 n=1 00 .3 IM:

A:

Q: 2²y ds, C:x = cos t, y = sin t, z = t, 0 < t < a/2

A:

Q: The series > cos" (2) is divergent. n=1 This statement is true by the test for divergence. This…

A:

Q: dy Use implicit differentiation to determine given the equation xy + e = sin(y). dx dy dx ||

A:

Q: Use vectors to determine whether the points are collinear. (0, –2, –5), (10, 13, 15), (4, 4, 3) The…

A: The given points are,      0,-2,-5, 10, 13, 15, 4, 4, 3

Q: Problem : Find the derivative of the series 2x 4x2 8x3 16x4 32x5 f(x) =1+ 1! 2! 3! 4! 5! Also show…

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v = (0, 12) a =

A: We can find the value of a and b as below.

Q: 4. Use Cramer's rulc to solve the lincar systemn. r+ 3y 2 5.r +7y 3

A:

Q: Which of the following is the correct definition of the limit? The lim f(x) = A, if and only if, for…

A: Explanation of the answer is as follows

Q: Given z = sin(1 - 2). x = 2 – ts and y = 2t – s - then calculate when t = -1 and s = -1. dt

A: