* This matrix is a -7 -5 11 7 -11 diagional matrix symmetric matrix An upper triangular matrix skew symmetric matrix

Q: O The series does not converge. 5. To what number does the series converge k=0 (A) 0 t+e…

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Q: Calculate the limit. x2 – 9 lim х-3 х2 + 5х — 24

A: limx→3x2-9x2+5x-24

Q: Let 7. B(t) = ift < 2 - Vt+c ift 2 2. Find the value of c so that lim B(t) exists. t+2

A: This question is based on limits.

Q: 8. Evaluate the limit of (4x^2-x)/ (2x^2+4) as x approaches a. a. 2 b. 4 с. а

A: We have to find limit.

Q: Sketch the graph of an example of a function f that satisfies all of the given conditions. f(x) = 4,…

A:

Q: By the Fundamental Theorem of Calculus: •t „2 +1 dx 5x +1 d dt d and dt - 6t x2 +1 dx 5x +1 d…

A: Given

Q: Sketch the region enclosed by x + y? x + y = 0. = 12 and = 0. a) Favoring convenience, should you…

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Q: Find the points on the curve where the tangent is horizontal or vertical. You may want to use a…

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: As we know that; The critical number of the function, y=gy can be determined by solve the equation…

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

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Q: Find the exponential function that contains the points (2,48) and (3,192).

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Q: Do not use a calculator for this problem. Find the x-value where the maximum value of y = sin x – 2x…

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Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

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Q: Assuming x E Z. Prove 2|(x – 6x + 5) → 2}x a|b b = ke Z a 6. = 2 € Z 3 3|6 is True because 4 3+ 4…

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Q: Give 5 sample problems for Homogenous Coeffiecient (Differential Equation). Provide step by step…

A: Take a homogenous equation and first differentiate then simplify

Q: Evaluate the integral by choosing a convenient order of integration: x cos(ry) cos (Tx) dA; R= x (0,…

A:

Q: Which of the following theorems establishes a relationship between differentiation and integration O…

A: We have to find out relation

Q: 15. The solution of Laplace equation и + 3 0, и(х,0) — 0, и(х, п) — 0, и (о, у) — 0, и(0, у) %— 3sin…

A: Please see the below picture for detailed solution.

Q: The solution of the differential equation below is dy 3y- + 4x = 0 dx %3D

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Q: Find the inverse of the function. f(x)= 9 + sqrt 4x -4

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Q: Find the arc length L of the graph of r(t). 1 .3 r(t) = i+t j+¬V61² k, 2 <153 L =

A: Solve the following

Q: This equation is an example for linear equations dy dx False O True O

A:

Q: = ky dx x = eky y =e-kx Option 2 Option 4 y = ekx x = e-ky Option 3 y=ekx

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Q: The shaded region between the graphs of 2x2 + 20 and y = 3x – 15 is displayed - - below in orange.…

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Q: Let y = (2x + 2 sin(x))“. Find f(x) and g(x) so that y = f(g(x)) and compute the derivative using…

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Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

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Q: Find dy ldk 3x xナ+ チ= +メ

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Q: 7.5x A sketch of the region enclosed by y = x and y follows. x2 + 1 -3 -2 -3 Area of the region =

A: Let's find.

Q: Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep…

A:

Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = cos*…

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Q: Find the Maclaurin series for the function. (Use the table of power series for elementary…

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Q: I z x sin(y²)d.xdy Calculate

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Q: Evaluate the limit. 12 lim х — 5 - x-5 x2 + 2x – 35 Give your answer in exact form. If the limit…

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Q: 5. Evaluate the limit of (x^3-2x^2-x+2) /(x^2-4) as x approaches 2. a. a b. % с. 2/5 d. 4/7

A: Note: Since the student has posted multiple questions but first question (question number 4) is…

Q: 3 The series E converges if n=2 (n+ 1)P (n – 1)ª (a) p+q1 (c) p+q=1 (a) p+q=2 (e) -1<p+q<1

A: Solve the following

Q: 4. cos 4x cos 2x dx

A: The integration of the integral is cos(4x)cos(2x).

Q: Find the limit. lim (t i - 8 j+ 1? k) k lim (t i-8 j+t k) = j+ i i+ i 1-2

A:

Q: Find the area of the region using a double integral. The region bounded by y = 3x*, 3x + y = 6, and…

A: A detailed solution is given below.

Q: Write an expression for the nth term of the geometric sequence. Then find the indicated term. a, =…

A: topic- geometric sequence

Q: Evaluate the definite integral. 124 i + ej+t k dt (e" - 1) i - (e - 1) j + k o e-11-(-1)j +K i - (e…

A: see below the answer and calculation

Q: The solution of the differential equation below is dy 3y +4x = 0 dx

A: Let's find.

Q: 19y Consider the differential zy" – y = - (1) equation When applying variable z= e', y = u(t)e *…

A: Solve the differential equation then undo put into y(t)

Q: Find the slope of the tangent line to the curve y = (1+ 4x)7 at the point x = 2. %3D

A: Slope of the tangent line is obtained by just derivative of the function  wrt the independent…

Q: Set up the definite integral required to find the area of the region between the graph of y = – 23x…

A:

Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: 99. Find the point of inflection of the curve y=(9x^2-x^3+6)/6. a. 3,10 b. 2,8 с. 3,8 d. 2,10 100.…

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Q: NOTE: Enter the exact answer as an improper fraction if necessary. A =

A:

Q: 4 The net signed area in the above graph can be written as (mæ + b)dx, where c = d and b = = U

A: The net signed area in the above graph can be written as ∫cdmx+b dx, where c=?,  d=?m=?, and b=?

Q: Solve the equation .11 y" + 3y' + 2y = x2

A:

Q: - In an electronic device, individual circuits may serve many purposes. In some cases, the flow of…

A: Here, the given function is: p(x)=V2x(R+x)2 of power to find x that maximize the power.