Use differentials and the graph of f to approximate the following. (Round your answers to two decimal places.) y 3- 2 11 (2, 1) 3 4 (a) f(1.9) × (b) f(2.04) z

Q: Find the component form of v given the magnitudes of u and u + v and the angles that u and u + v mak...

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Q: If $700 is invested at interest rate i, compounded annually, in 3 yr it will grow to an amount A giv...

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

Q: Solve the following differential equations 3x² d+ x dx2 C- + y = x.

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Q: Solve each system of equation using matrices (row operations). If the system has no solution, say th...

A: We have to solve system of equation using matrices (row operations).

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Q: The next step is to find du = g'(x) dx. First find g'(x). %3D g(x) = x° + 8x g'(x) = Therefore, we h...

A: We can find the required answer in the following steps

Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

A: We can answer both the questions as below

Q: Use differentials and the graph of f to approximate the following. (Round your answers to two decima...

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Q: X -5 -4 -3 -2 -1 2 -1 2.

A: Graph

Q: L is a line in 2-space or 3-space that passes through the points A ano B, then the distance from a p...

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Q: what is of point Fyl-2,0) fexsy)=(x3ーy+g)s

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Q: Find the family of curves orthogonal to the family 4y2 + 3x2 = k when x > 0 and y > 0. (A) 3y2 – 4x2...

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Q: How many nonzero terms of the Maclaurin series for In(1 + x) do you need to use to estimate In(1.2) ...

A: A Maclaurin series is a Taylor series expansion of a function about 0.

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate Limi...

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Q: Find the coefficient a of the term in the expansion of the binomial. Binomial Term (3x-4y)^9 ax^4y^5

A: The given binomial,     3x-4y9

Q: wherey = x + C is a solution to this DE. What is the particular solution?

A: Let's find. 

Q: Consider the points A(3, –3, 3), B(4, –5,0), C(-3, -4,0), and D(6, 2, –6). | (a) Find the volume of ...

A: AB→ =B-A      =(4, -5, 0)-(3, -3, 3)AB→ =(1, -2, -3)AC→ =C-A      =(-3, -4, 0)-(3, -3, 3)AC→ =(-6, -...

Q: 15. f(x) = for every x E (-4,3] x+4 16. f(x) = sin (2) in the interval x 2-2 3 17. f(x) = { 2 - x2 i...

A: As per our guide lines we are advised to solve only first question. Please kindly upload other quest...

Q: WWhe cycloid SO of arch of the cycloidis genorated as t varies from

A: To find the area.under the arch

Q: 2. If y = xlnx,

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Q: u = 5i + 4j + k v = i+j+4k w = i+ 8j + 9k

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Q: Construct a truth table to show that (p Ag) - p is a tautology.

A: We need to construct a truth table and prove given is a tautology. 

Q: Choose a correct statement concerning the function f(x, y) = 3x² – e2y. O There are local minima but...

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Q: 5. Find the point on the parabola y=2x-3x+6 where the tangent line is parallel to the line 7x+y=1.

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Q: The remainder term for a "n" degree Taylor polynomial of f(a) 1-x about x = 0 results in n+1 Rn(h (군...

A: Solution

Q: Consider the function f(x) = 2x3 – 6æ² – 48x + 3 on the interval [-5, 8]. Find the average or mean s...

A: mean value theorem

Q: Sketch the graph of a function that satisfies all of the given conditions. (a) f'(x) < 0 and f"(x) <...

A: Given problem:- To select graph  with conditions  f'(x) &lt; 0 and F"(x) &lt; 0 for all x f''(x)&gt...

Q: 3. Given the equation y = In(cos(x)): What is dx/dy? secx -seox -tanx -cotx None of the choices.

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

Q: Let f(x) = x and compute the Riemann sum of f over the interval [2,3], using the following number of...

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Q: y = a sin (x + b) u sin (x + b) -a sin (x + b) O a cos (x + b) O -a cos (x + b)

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Q: Let A and M be n x n matrices. If AM = 31, then M-1 O is equal to (1/3) A is equal to (1/2) A O is e...

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Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Q: Suppose that f(x, y) = e"/♥ on the domain D = {(x, y) | 0 < y < 1,0 < a < y*}. Then the double integ...

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Q: A radar follows a plane moving overhead. When the radar has an angle of π/6 with the ground the dist...

A: Speed

Q: DSHUN EDWARDS Question 3 of 7, Step 1 of 2 2/17 Correct The effectiveness of a certain medical injec...

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Q: Given the series 7" Σ n=1 an+1 find the ratio an (Express numbers in exact form. Use symbolic notati...

A: The value will not be 7 because the question is not asking us to find the value using the ratio test...

Q: Use differentiation to show that Sec'x + Csc¯'æ = for any a> 1.

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: Explained below 

Q: Given the graph of a function f (x). Find f (c) and lim f(x) where c are as follow: 20 15 f(c) lim f...

A: Graph of the function is given, we have to find the required limit values

Q: olve the bessel equatio

A: answer of given question is in step 2

Q: Find the equation of the tangent plane to x^2/16 +y^2/9 −z^2/36 = 1 at the point (4, 3, 6). Simplify...

A: Use tangent plane formula

Q: Sketch the region cnclosed by the given curves

A: y=x-2y=x-2

Q: 8. Given the function f(x)%=2x3 -5x3 , find the point where the tangent is horizontal to the curve.

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Q: Part C lim, -3 h (x), if h (x) : Vx² + 6x + 9 x + 3

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Q: dx

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Q: Use polar coordinates to rewrite the double integral int _0^4 int _0^{sqrt{4-(x-2)^2}}  (x+y)/(x^2+y...

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Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D bet...

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Q: - Is the given point a Solution to this graph? (-1,–2)

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Q: bounded

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Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as...

A: Slope of tangent line