Find a formula for the distance from the point P(x, y, z) to the (a) xy-plane (b) yz-plane (c) xz-plane

Q: What is this character after the 16???

A: The number is  168.  The character after 16 is 8.

Q: 15. Find the inverse of matrix A. A = 38 26

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Q: 13. Solve for x. log₂ (2x + 3) = 2 log₂ (x)

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Q: 1 Determine the volume generated of the area bounded by y=√√√x and y=- 2 A 154/15 B 112π/15 C 128/15…

A: Given; curves y=√x , y=x/2 rotated about x=5

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A: In this question we have to solve the differential equation.

Q: 21 = 106 55 104 102 ܐ

A: We have to find the sum of the series.

Q: 7. Determine whether the series converge and if so find its sum. (a) (b) IM8 Σ k=1 2k+1

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A: The equations are To evaluate: The linear equation.

Q: 1. Evaluate the given integral Q. ry+1 ry+z Q= 0 0 xyz² dx dz dy

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: image

A: Please refer to the image below

Q: For the following function : 4 • <t<1 - f.(.t.)..==. [² 1<t<2

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Q: √₁ 5. X x² 2 ²+x-6dx

A: Given:        ∫x2x2+x-6dx For the integrand x2x2+x-6, take partial fraction      =∫-95x+3+45x-2+1dx…

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Q: Find a function y(x) such that 6yy' = x and x and y(6) = 9. y =

A: Topic = Differential equation

Q: 2.5s (s 0.1) (s+ 0.4),

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Q: Q/ f(x)=√√25-x² theorem at ce[ko], [= -√5 find K and f check the mean Value

A: Given problem:- f(x) =√(25-x2) and f check the means value theorem at c∈ [k, 0] , c=-√5 find k

Q: 5. Let f(x) is even and g(x) is an odd function which satisfies x²f(x) - 2f f(1) + f(2) + f(3) +…

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Q: If f(x) = lim (1+x)(1+x²) (1 + x² ) (1 + x² ).......((1+x) where [x] < 1, then - 618 1 (B) 3) (C)…

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Q: Find the general solution of the differential equation: logS=x+y

A: Given problem:- Find the general solution of the differential equation: log S = x+y

Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t= 1 is (not that x is…

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Q: 1) How many 5 digit numbers can be made using the digits 5, 6, 1, 4, 9, 3, 2 if no digits can be…

A: According to our guidelines, we can answer only one question or three subparts of a question.

Q: 3 Safin designed and launched an app. One week after he launched the app, it had 8 400 users. Four…

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Q: Find the area bounded by y=√x and y= 2 (A) 2/3 (B) None of these C) 4/3 (D) 10/3 E 5/3

A: topic- area bounded by curves

Q: A 200 gallon tank initially contains 100 gallons of water with 20 pounds of salt. A salt solution…

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Q: Find the exact value of the surface area generated by revolving the curve 1 + 1≤x≤2, about the…

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Q: 1. 2ydx+x(x² In y-1)dy=0

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Q: Q2: The equation of the tangent line to the graph of y=t² and t = 4x² at t = 1 is (not that x is…

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Q: Find the lower sum for f(x) = +4 on the interval [-4, 0] using 2 rectangles. 10 "F Submit your…

A: Here we have to find the left sum of given function.

Q: Q4: Let y = √t and a) 2 b) 3 c) 4 t = x² then y(n) = 0 if n= d)5 e) others

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Q: Given: c = 8, a = 5, C = 67° C A B с Solve the triangle. (Do not round until the final answer. Round…

A: The Sine rule: asinA=bsinB=csinC   Given: c=8, a=5, ∠c=67°

Q: IV. Application: Newton's Law of Cooling 1. A thermometer reading 75°F is taken out where the…

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Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

Q: i. Given that log x=12, log, y = 15 and log, z = 18. Consider the following four logarithmic…

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Q: dy at f= is (not that these functions in N) dx a) -1 b) 0 c) d) I e) others Q5: If y=tant and x =…

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Q: Evaluate the integral. (Use C for the constant of integration.) | VER-X² dx 81 x

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Q: f(x) = 6x 12 cos(x), -2≤x≤

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Q: } L 1 (s? +1)(s? + 25)

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Q: Solve the initial value differential equation with initial values y(0)=2 and y'(0)=6 y" - 3y + 2y =6

A: We have to solve the given differential equation.

Q: Q. Solve the following Initial Value Problem (IVP): y + 3y + 2y = 6e-t at y(0)=1 and y (0)=2

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Q: Evaluate the integral. 4π S t² sin(2t) dt

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Q: (b) The circle of radius 2 centered at (0, 0, 0) and lying in the i. xy-plane ii. yz-plane iii.…

A: According to our company's guidelines I can only answer first question (b), since (c) is not…

Q: Use the theorems to evaluate the limit. 1 lim x →∞ X² ||

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Q: 41.) If f (x) = )=√(₁ (A) 3-e/4 4 tan(Cnx) +- (B) dx & f(1) = 0, then f (e/4) is - 3-e/4 4 (C)…

A: We need to choose correct option.

Q: Ex: Expand fit) = +² o<t <2π in a Fourier Series expansion : Sol: 2 L = 2 T /// L = π -411 -27 2 tr…

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

Q: 2. Given the following logarithmic expression: log, 1+ 2log 5 + log₂ 2 +log, c-log, 100 Which of the…

A: Given: logc1+2logc5+logc2+logcc-12logc100

Q: Evaluate the integral. (Use C for the constant of integration.) 5 [BX 8x √√x + c dx

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Q: Solve the area bounded by the curve y=x^2+2 and the line y=-x, x=1 and x=-2. With graph

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Q: Q1:/ Find the general solution of non-homogenous differential equation using Variation of Parameters…

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