Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2,2, -3).

Q: The value of arcsin O KIT X 4 KIO O KIM X 3 KIN 2 (9) is

A: here is given that sin-1(1/2) we now that sin-1(sin(π/6))

Q: MATHS HOME A 41. If f (x) = f[ta (A) 3-e^/4 4 J'a (B). tan((nx) +- dx & f(1) = 0, then f (e/4) is -…

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Q: Find the function y = y(x) (for x > 0) which satisfies the separable differential equation dy 8 +…

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Q: Problem 2: Use the definition of the Laplace transform to find the transform of the piecewise…

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Q: Diffential Equation  Topic: First Order Linear DE and Bernoulli DE 4. Find the solution of the…

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Q: Find the general solution and particular solution of this equation. (Non-anonymous question) xydx +…

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Q: JC LUDJE SH 31 Exercises 4.4 Use Laplace transforms to solve the given different d²y dy 1. 3- + dx²…

A: Topic:- application of integration

Q: 14. Solve for x. 2¯¾ = 8(x-3)

A: Given, 2-x2=8x-3

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Q: need

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Q: Sequences and Series 17. Determine if the following sequence is Arithmetic or Geometric. Then…

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Q: how would I find the domain of the vector function r(t)=cos(t)i+ln(t)j+1/(t-4)k?

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Q: 6) INVERSELY LOGARITHMIC The following information is given about a logarithmic function of the form…

A: The objective is to find the rule of the inverse of the function.

Q: Gas is $5 a gallon. The vehicle gets 20 mpg. Tech makes $30 an hour. He speeds 15 mph over the speed…

A: Gas costs $5/gal  Mileage = 15 miles/gal  Thus, for every 15 miles he will pay $5 if he is not…

Q: Q4: Let y=√ and 1= x² then y) = 0 if n= a) 2 b) 3 c) 4 d)5 e) others

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Q: Chapter Four d'y df² and y'(0) = 3. 2. 9. dy 24 +16y=0, dt given y(0) = 3 y =(3-1) e3

A: We have to find the solution of given differential equation.

Q: 1. Find the solution of the following differential equation.

A: We have to find the solution of the given differential equation.

Q: 3. Use Lagrange multipliers to find the relative extrema of the function f(x,y)=1620.70. 0.3 subject…

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Q: 'Q/ find the vector whose length =5 and its direction (600) with x axis 53 = 1+ j,v=i+ الخيار رقم 1…

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Q: give me the solution of   y'' - 2y'- 2y = 0

A: Topic:- differential equation

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Q: If Arnold earns a salary of $18,564 a year and is paid biweekly, how much is his gross pay per…

A: Here is the solution

Q: soon as posible

A: We will use substitution.

Q: udv = uv J to Explain why the substitutions below are inappropriate. Let u = e 1. Suppose we apply…

A: Here, to evaluate: ∫xexdx using integration by parts.

Q: Q1: If y=sint and t = sinx, then at x = a) 0 b) c) cosl d) - cosl e) others

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Q: For the function f(x) = 2x², find the difference quotient 4a + 2h h 4 a² + h 4 a + 2 h f(a+h) h…

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Q: Given the triangle below, find the angle A and length of side x Note: picture is NOT drawn to scale,…

A: As we know from the Sine Rule: asinA=bsinB=csinC   Given: So, B=32°, a=30, b=29, c=x

Q: In how many ways can a family of seven be seated at a round table if two brothers must sit together?…

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Q: 45. I= (A) 2 (C) 3 +c, then f '(1) is equal to - 14 2 2-x ปี = √/²=Xx dx = ²√ √/²² (x) + c (B) 1…

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Q: 8. NE x²+x² tan² (4x³) tan² (47x³) 2] dx

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Q: Find the area of the surface obtained by revolving the graph of x = y³ on the interval [0,1] about…

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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: Find the consumer's surplus for the following demand function at the given point. 4) D(x) = (x -…

A: Finding consumers surplus

Q: I. Bernoulli's Equation 1. 2ydx + x(x² In y-1)dy = 0

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

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Q: Solve the area bounded by the curve y=5-x^2 and the line y=2x. With graph.

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

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Q: Q1) Find the following integrals } 1) S sinh2x sinhx+1 dx 1

A: To solve the given integral

Q: 37. If antiderivative of m+p is equal to - 8 X³ √₁+2x² (B) 5 which passes through (1, 2) is…

A: We need to choose correct option.

Q: 3. Find the inverse of the function: ƒ (x) = 4x² − 5

A: The answer is given below:

Q: Use the second fundamental theorem of calculus to evaluate the following: x, x 20 10. [* f(x) dx if…

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Q: Q1: If y=sint and t= sin x, then at x = a) 0 b) c) cosl dx² d) -cosl e) others

A: I have stated the used properties in the solution

Q: For the function f(x) = 2x², find the difference quotient f(a+h) - f(a) h 4a + 2h h 4a²+ h 4 a + 2 h

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Q: 1. Set up the integral (but do not evaluate) to find the volume of the solid obtained by rotating…

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Q: J udv = uv J to Explain why the substitutions below are inappropriate. Let U = eª and 1. Suppose we…

A: lets here we use integration by parts rule  ∫xexdx here lets u = x v = ex  is good to substitute…

Q: 1. Find the area of the region bounded by y = x² - 3 and y = 5 - x².

A: This question can be solved using the concept of area bounded by two curves.

Q: 4. Describe the left-hand and right-hand behavior of the polynomial function f(x) = 2x² +6x² Left…

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Q: Problem 2: ( 3) Starting with the graph of y = e, find the equation of the graph that results from…

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Q: Consider the equation y' - 2y = te State the integrating factor u(t) and find the general solution…

A: This question can be solved using the concept of linear differential equation.

Q: -10 5. Given the polynomial: 2x³ + 19x² + 32x - 21 A) List all of the possible rational roots: B)…

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