The radius of a circular disk is given as 26 cm with a maximum error in measurement of 0.2 cm. Use differentials to estimate the maximum error (in cm2) in the calculated area of the disk. (Round your answer to two decimal places.)   What is the relative error? (Round your answer to four decimal places.)   What is the percentage error? (Round your answer to two decimal places.)

Q: (1) f(x) = sin (5x + 6) (3) f(x) = sin(x-³) (2) f(x) = sin (3x4 + 2) (4) f(x) = cos (4+ 3x)

A: To find f'(x)

Q: For the next three exercises, use power series operations to determine the Maclaurin series for the…

A: Given

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A:

Q: Question 6 Given: f (x, y, z) = cos(xyz) + ln x5 - sinh y² + 3z Find: af(x, y, z) дz at P(-1, 3, 0)…

A:

Q: Lets a real constant such that s ≥ 0 in the process of calculating = 1,500 3.1 di you get: O a) I =…

A: s real constant such that s≥0I=∫1+∞x-3.x-sdx

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A: The given matrix is  A= 1342. We have to find eigenvalues of A2. Eigenvalues are the roots of the…

Q: Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2…

A: We have to find derivative of given term.

Q: 6. Find the radius of convergence and the interval of convergence for Σ-0¹ (x - 2)". 7. Find the…

A: See this solution in below.

Q: 12. Integral x² dx x³ +4

A:

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A: There are two planes on the XY axis.We are at the origin.  Plane X: The first plane is due west of…

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A:

Q: Show that there are no tangents to the curve f(x) = 6x3 + 2x2 that have a slope of -5.   Please…

A:

Q: ( (tano-1)² do

A: Given ∫[tanθ-1]2 dθTo evaluate the integral:

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A: Here we have to solve the differential equation.

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A:

Q: Q3A)Find normal line and parallel plane to the function f(x, y, z) = x²y³z² - 4 At point (1,-1,2).

A: Given function f(x,y,z)=x2y2z2-4

Q: +[ƒ Given that 5 ≤ f(x) ≤ 6 for -4 ≤ x ≤7, use property 8 of Section 5.2 of the Stewart Essential…

A:

Q: Find the derivative of the following function. 8x e y= In 4x y'=

A:

Q: A region bounded by f(x) = 5 — x, y = 0, and x = 1 is shown below. Find the volume of the solid…

A:

Q: 5. Find three 2 x 2 nonzero matrices A, B and C such that B C and AB = AC = 0.

A: To find the matrices A, B and C satisfying the given conditions.

Q: A region bounded by f(x) = 3 − x, y = 1, and x = 0 is shown below. Find the volume of the solid…

A:

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: QUESTION 5 Given function f(x,y)= A. 2 B. 3 C. D. 0 ANSWER: 6 2 63xy of Evaluate at point (0, 1). ox

A:

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

A:

Q: -)Find volume of body from above Z=√√4x² - y² and below Z Triple integration. 1 using

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Q: Fill in the blanks: Use integration to find the volume of the solid obtained by revolving the region…

A:

Q: Find the general solution of the following differential equation. 25y" +10y + y = 0 NOTE: Use c₁ and…

A:

Q: ror(4)). 95. Find the restrictions in the domain, if any, for If there is more than one restriction,…

A: Note: The first question that is question 90 seems incomplete. So, solving 95 for you.

Q: π/2 B)Evaluate the integrals: i) f/2 sine rdrde, π/2 ii) f/25/2 sinxz² siny dz dy dx.

A: See the details solution in below

Q: -(x²+y) dx x+siny B)Solve differential equation =

A:

Q: If 40 articles cost $35.20, how much does 1 article cost? What is the cost of 55 articles

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

Q: 10. Find r(t) if = (4t3+ 4t)i + 6tj + 3t²k, r(0) =i+j.

A: We have to find out r

Q: A) Find area bounded by y = 0, y = √x - x² using double integration.

A:

Q: Evaluate the integral using integration by parts. Scot-¹(8y)dy 1 Scot ¹(8y)dy = -x In (cos (6y)) + C

A: The given integral,       ∫cot-18ydy

Q: f(x)=2x-7 and g(x) = -18 Given (a) Find (fog)(x). (b) Find (gof)(x). (c) Is the operation of…

A: Given :fx=2x-7gx=1x

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A: we need to convert polar coordinate into cartesian.

Q: Please provide Handwritten answer of all parts.

A: Please provide Handwritten answer of all parts.

Q: Assume that f is continuous on the set of real numbers. Find a and b given that b 3 [ f(x) dx - f₁…

A:

Q: Use the properties of the derivative to find r(t) = 3/i+6f³j+31³k u(t)=2i+2r²j-3t³k [r(t) - u(t)]…

A: This question is related to derivative, we will solve it using given information.

Q: ४ = (y3/2/3) - y¹/2 from y = 1 to y = 9

A:

Q: X f(x) g(x) -2 5 1 -1 2 3 0 4 1 -2 2 -4 -3 -6 -1 f'(x) -4 -2 1 5 -5 g'(x) -1 3 -3 4 2

A:

Q: If 3x² + 2xy + y² = 2, what is? dx

A: Follow the procedure given below.

Q: Given the functions: f(x)=x²³-8x g(x) = √2x h(x) = 6x+7 Evaluate the function h (f(x)) for x = 3.…

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Q: 16. Integral Ydy 6y2-1

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Q: Solve the initial value problem y" + y = 0, y(3) = 8, y'(n/3) = − 16 Oy(t) = √√√3cost + 8√/3sint…

A:

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A:

Q: 3. Integral xdx 10x -234

A: We will use substitute method to solve this integral.

Q: التاريخ 5.1 1 1 If the vector [42] An with the straight Piecel the end point?

A:

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A:

Q: Find f if f"(t) = 2e¹ + 3 sin(t), f(0) = −4, ƒ(ñ) = 9. f(t) = 2e^t-3sint-6

A: