find a standard equation of the line perpendicular to the line ax+by=c that passes throughpoint(xo,yo) assume that a is not equal to 0 and b is not equal to 0

Q: Determine the general solution of the given differential equation

A: Rewrite the equation in standard form. And solve it 

Q: Compute the given integral. 5x°e3 dx %3D +C

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Q: Find the solution of the following initial-value problem d?y, dy dy + 4y = e", y(0) = 1, (0) = 2 dr ...

A: NOTE: Refresh your page if you can't see any equations. . for the homogeneous system, the auxiliar...

Q: esin² 3y? dy csc 6y

A: The Value of the given integral is esin²3y²/6

Q: Complete the table below to identify the limit.Round all numbers to 3 decimal places. I – 2 lim I→2 ...

A: We have to find limit

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = T...

A: Given that y=x2, x=0, y=2-xaround the line x=1find the volume 

Q: Consider the shaded region R enclosed by the curve y = 6x – x² and the line y =-x as shown in Figure...

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Q: AY 10 4 2+ 0.5 1 15 2. 2.5 3

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Q: 7. In a certain country, the number of people (in millions) using their mobile phones to check email...

A: Given query is to find the derivative of the function at different points.

Q: (IV) Give the standard form for the 3D TANGENT LINE to the associated curve: r (t) = ( 2 sin (t), 3 ...

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Q: -3 is The quadrant of cos 5 O Quadrant I O Quadrant II O Quadrant IV O Quadrant II

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Q: Suppose g(x) = f(3+4(x – 5)) and f'(3) = 4. -

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Q: dr Evaluate the integral: 3/2 49 - (A) Which trig substitution is correct for this integral? 1. sin(...

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Q: 12. What is the graph of the absolute value equation |x| ≤ 2?

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Q: What is a function, in your own words? Give an example to back up your points.

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Q: *n/3 27. tan'x sec*x dx 28. tan (2x) sec (2x) dx /3 29. tan'x sec x dx 30. tan'x sec°x dx 31. tan'x ...

A: solve integration  

Q: Which Riemann sum represents the illustration shown? AY 32+ 24+ 16+ 8+ X 1 2 3 4 4 o 1 2 2x,² i=1 3 ...

A: The points in the curves can be identified as: x=2, y=8 x=4, y=32 So, the curve represents the funct...

Q: termine the equation of the curve whose tangent line at any point (x, y) i and passes A) y = e* + co...

A: We are asked find the equation of the curve.

Q: y"+12y'+37y=10(e^-4t) @y(0)=4, y'(0)=0

A: Given: y''+12y'+37y=10e-4t So, we can also write as: D2+12D+37y=10e-4t The auxiliary equation is: m2...

Q: Question 15 Find the derivative of f (x) = (5x + 1)(2x² + x /æ ). Upload your work in the next quest...

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Q: Given the angles a, B where 0 < a, B < - which of the statements is TRUE? 4 O The angle a+B is in QI...

A: Topic = Trigonometry

Q: 5. | sin (Tx) cos (Tx) dx

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Q: The graph below is the function f(x) 3- 2 5 4 -3 -2 Find lim f(x) = I -1- Find lim f(r) Find lim f(r...

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Q: a²f Compute :f(x.y) = (x + y)(2x + y)² and ax 'ay дхду

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Q: 4. Let g(x, y) = e"/v, Find an equation for the tangent plane at (x, y) = (2, 1).

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Q: If P(a, b) is on the unit circle whose arc léngth from the point (1, 0) is t, which of the following...

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Q: 9. Let f(x, y, z) = xyz=1 and r(t) = (e', t, t²). Find f(r(t)) at t = 1.

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Q: Find the standard form of the equation of the hyperbola with the given characteristicS Foci: (0, ±9)...

A: The hyperbola has,  Foci: 0,±9; asymptotes: y=±3x

Q: Integrate the given series expansion of f term-by-term from zero to r to obtain the corresponding se...

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Q: 12. Let f(x, y, z) = xy – 2³. Calculate the directional derivative of f at the point (3, -2, –1) in ...

A: We have to find direction derivative

Q: One of the parts in the proposed design of a gadget is a tapered cylinder. It is made by decreasing ...

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Q: 27 4 1422 Evaluate the integral: 36 - (A) Which trig substitution is correct for this integral? Ox =...

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Q: 1. Where is the Receiver? You are designing a satellite receiving dish. At what point should you pla...

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Q: Given: cos 0 e is in QI. What is the value of cos 260? 4 6. o 1 3 O 4 6. 6.

A: We have to find value of cos(2theta).  

Q: The parabola y + 2y + 8x –7=0 has vertex at O (-1, –1) o (-1,1) о (1,-1) о (1,1)

A:

Q: 10. Let f(x, y) = x² + y³. Calculate the directional derivative of f in the direction of = (4, 3) at...

A: The given function is: f(x,y)=x2+y3Direction vector is:  v→=4, 3Given point:  P=(1, 2)

Q: Write a full soultion  Let f(x) = 1− x/x+1 A) Find the domain and the range of the function f.

A: Topic = Functions   Domain x∈-∞,-1∪-1,∞RAnge fx ∈-∞,-1∪-1,∞

Q: 1. y = 3x2 - 5x when x = 3 dx when x= 2 b. dt a. 32 dt dy dt

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Note: to enter 0, type the word theta. (B) Which integral do you obtain after substituting for x and...

A: The given integral is: I=∫13-9x2 dx

Q: Let a = 3i – 6j + 4k and b = 2i + j – 2k. a Find c, the vector component of a perpendicular to b. b ...

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Q: =(x) ,, } %3D

A: Given; f(x)=3+√x.

Q: Approximate the integral using the indicated rule. 36 0 x2 dx; midpoint rule; n = 6

A: We have to find approximate value of integral.

Q: 1/3 1/6 Find all real solutions to 2x3 – 4x6 – 6=0. -

A: Given:      2x13- 4x16 - 6=0

Q: Find the derivative of f (x) = arcsin (x²). 2x f' (x) = 1-a4 f' (x) V1-x4 2x O f' (x) = V1-a² O f' (...

A: Use differentiation of trigonometric function

Q: 5. Find the linear approximation (i.e. the tangent plane) of f(x, y) = Vx/y at the point (9, 4) and ...

A: The Local Linear approximation of f at (x,y) using the partial derivative f at (x0,y0) is given by  ...

Q: て+ ×ら-てとを (X) sketch the graph

A: The function is given as fx=x3-3x2-9x+2 sketch the graph of fx.

Q: If f(x) 3. find f'(4).

A:

Q: Points A and B have position vectors a = 2i + 3j – 4k and b = 2i – j + 2k. Point C has position vect...

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Q: 8. Find the derivative of f(x) = (1+x³)' ( 14x + - ) using differentiation rules.

A: topic - derivative of a function

Q: Find the interval

A: