Evaluate the triple integral ryd xydV where E is the solid tetrahedon with vertices (0,0,0), (10, 0, 0), (0, 3,0), (0, 0, 9).

Q: Outside temperature over a day can be modeled as a sinusoidal function. Suppose you know the high…

A:

Q: Find the rate of change of the function fin the direction of PA. Also find the maximum value of that…

A: Let's find rate of change in the given direction.

Q: √√53-25² +5 ds

A: Given

Q: Find a formula bn for the n-th term of the following sequence. Assume the series begins at n = 1.…

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Q: 2 (e²t-e-2) ² 32 s(s² + 16) Option 4 32 s(s² - 16) Option 1

A: Given :e2t-e-2t2

Q: 6) Calculate - dx for z = ln(x + y²).

A:

Q: 1) lim x + 5 X 1.5 2 2.5 2.75 2.99 F(x) X 4.5 4 3.5 3.1 3.01 F(x)

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Q: Evaluate the following integrals: O •(Cartesian to Polar) Civen the cartesian coordinate find FOUR…

A: Follow the procedure given below.

Q: Suppose that sin(θ)=4/6. What cos(θ)=______. (round to 3 decimal places)

A: sin(θ)=4/6

Q: Evaluate the integral Sea X 6x³-1dx

A: This question can be solved using the concept of integration by substitution.

Q: - 1/2 Find the gradient of f(x,y,z) = (x² + y² + z²) 23 23 26 Vf|(- i+ - (-2,2,-1) 54 |j+ 54 27…

A: The function is f(x, y, z)=(x2+y2+z2-1/2+ln(xyz)  The point is (-2, 2, -1)

Q: Find the exact values of inverse trigonometric expressions for Parts a to c in radians. Sketch the…

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Q: Sketch the graph of the piecewise defined function: f(x) = 2, x ≤ −1          x − 1, x > −1

A: Given  f(x) = {2,   x≤-1              x-1, x>-1}

Q: {CLO-2} Find all vertical asymptotes of f(x). 4x f(x) = 4-x² Determine whether f(x)→∞ or f(x)→→∞ on…

A: Let's find given function asymptotes.

Q: What is the area of the region between X |y=x2–2x−3 and the x-axis from x=0 to x=4?

A:

Q: The population of a city is 323,000. The population declines by 3.8% every year, what will the…

A: topic- exponential function

Q: Evaluate the following integrals: O • (Cartesian to Polar) Civen the cartesian coordinate, find of…

A:

Q: 7. The particular solution of (D³ + 2 D²-5D-6)y = 0, when x = 0, y = 0, y = 0, y" = 1

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Q: 4.) Sketch the graph, not by plotting points, but by starting with a standard function and applying…

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Q: Find the particular solution (D² + 4D + 4) y = 0 when x = 0, y = 1 and y' = -1 What is the general…

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Q: Calculate the derivative of y with respect to x when sin(x + y) = 5x + 4 cos(y). (Use symbolic…

A: topic- derivatives

Q: b. M8 kel 1 (442) (x + 2) (− + 3 )

A: Use Raabe's test to find weather series is convergent or divergent.

Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

A:

Q: Σ (-1)" n=0 2n TT (2n)!

A: Given: The series is  ∑n=0∞ (-1)n π2n(2n)!

Q: If A = 3ai +4j-k and B=4i+j-3k, find the value of a if A normal to B.

A: Given A→=3ai^+4j^-k^  and B→=4i^+j^-3k^

Q: Compute the general solution to the second order linear non-homogeneous differential equation: d²y…

A: Given differential equation, d²y/dx²-2dy/dx=8sin2x Corresponding homogeneous equation, (D²-2D)y=0…

Q: Find the minimum and maximum values of the function y = 2x² - 12x + 1 on the interval [0, 7] by…

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Q: Evaluate the integral. π/2 sin³ 0 cos²0 de 3

A:

Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Find the 23rd term of the Arithmetic Progression -7, -3, 1, . . .*

A: 1.  The given arithmetic sequence, -7,-3,1,....... Note:     Multiple questions are given, we are…

Q: 1.) Find the area of the region bounded by the curve ya 12 and the lines y=o, y=x, x=2.

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Q: (polar to Cartesian) In one polar plane, plot the following points and find their corresponding…

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Q: hat are the cylindrical coordinates of the point whose spherical coordinates are

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Q: (D² + 4D + 4)y=0 when x = 0, y = 1 and y = -1

A:

Q: This question is designed to be answered without a calculator. (10¹ x) = (In x)10¹n x-1 O (In…

A:

Q: [CLO-2] Evaluate the Indefinite integral by using the substitution rule. S√tan (x) sec²(x) dx…

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Q: Find the point (if it exists) at which the following plane and line intersect. -2x-10y-10z = -19 and…

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Q: From the following table of values, find the approximate value of f'(1.5) 1.2 1.7 1.5 0.4055 f(x)…

A: Given

Q: Find the equation for the line tangent to the curve 2ey = x + y at the point (2, 0). Explain your…

A: Equation of tangent to curve is given.

Q: 1 = and find x 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let…

A: This is a problem related to derivative of the function. Based on the general formula of linear…

Q: A horse tied to a post with twenty foot loop. What is the longest path that the horse can walk? a.…

A: Here we have to find the circumference of a circle.

Q: Find the extrema of each given function on a specified closed interval. 1.) g (x)= x³ - (3/2)x²,…

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Q: Find the radius of convergence for the series 3 n³ xn 3n OR=3 O O OR= 8 n=1 R = R= - الله R = 1 8

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Q: Determine y(4) for y=ax³ +bx+c where a,band care constant. (a) 6a

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Q: Find the equation for the line tangent to the curve 2exy = x + y

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Q: -5e-cos2t O Option 4 5e-t sin 2t O Option 2 5e¹ cos2t O Option 3 5e sin 2t O Option 1

A: Topic:- application of derivatives and integration

Q: Get the second and third derivative of function: y'= 3x^2y^2

A:

Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

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Q: Determine the limit of the sequence or state that the sequence diverges. 6 an = 1- n² (Use symbolic…

A: topic- limits

Q: Is f(x) = -3 A. Yes B. Does Not Exist continuous at x = 3? C. No D. Cannot be determined

A: