dy If the differential equation dx = y? ; y is solved via the substitution z = y1, the resulting equation is O dy + = 1 dx O dz ==-1 dx O dz = 1 dx O dz %3D dx 2/8

Q: sine E and <7, then find cace 3m csc 0 = 5. If cose 2, then find cac @ sec 6

A: Given that:cscθ=-135π2&lt;θ&lt;3π2To find:sinθcscθ+cosθsecθ

Q: Rational Function Identify the domain and the equations of the holes, vertical asymptote and horizon...

A: We have to find domain

Q: For the functions f(x) = /4x – 1 and g(x) = 2x - 5, find (g o f)(1.2). (g o f)(1.2) =D (Round answer...

A: The functions are given by fx = 4x-1 gx = 2x2-5 To evaluate: The value of g∘f1.2

Q: A voltage source E=5V is connected in series to a capacitance of 1 x 10-6 farad and a resistance of ...

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Q: 4) Two surface ships are trying to determine the course and speed of a nearby submarine to prepare f...

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Q: The differential equation y" – 4y = e2t has a particular solution of the form y, = u1e + uze“. du1 F...

A: Follow the procedure given below.

Q: 1.0 1,0 -1 -1

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Q: О 10 O 5

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Q: Solve the given differential equation by using an appropriate substitution. The DE is homogeneous. (...

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Q: Given that: lim f(x) = 5 lim f(z) = 8 lim g(x) = 10 lim %3D 25 9(x) = 0

A: Given, limx→5f(x)=5      limx→-5f(x)=8limx→5g(x)=10    limx→-5g(x)=0    

Q: lim (4.x – 3) = 9

A: The given limit,      limx→34x-3=9

Q: Determine the force due to hydrostatic pressure on the flat vertical side of a tank which has the sh...

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Q: plane flies at a constant groundspeed of 433 miles per hour due east and encounters a 36-mile-per-ho...

A:

Q: Problem 1 Let A and B be two finite sets, with |A| = m and |B = n. How many distinct functions (mapp...

A: f:A→B where |A|=m, |B|=n

Q: 1) cos 945° 3) tan 870° 5) sin 90°

A: Topic:- trigonometry 

Q: oulli’s equation, x' = a(t)x + f (t)x^n, n /= 0, 1, was proposed for solution by James Bernoulli in ...

A:

Q: - ху? x? + y? 51. f(x.y) =

A: Evaluate the multivariable  limit 51. fx,y=x3-xy2x2+y2

Q: Given the equation (cos x + 2 sin x)² dx cos x If you simplify the given equation, the resulting equ...

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Q: A chemistry student heats a beaker that is at room temperature (30 ° C)by inserting it in an oven th...

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Q: The function f(x) = x° - 9 is one-to-one. 1 a. Find an equation for f ', the inverse function. 1 b. ...

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Q: Tasks: 1. Think of more examples of inverse trigonometric expressions. 2. Evaluate cach inverse trig...

A: To consider the inverse trigonometric expression and evaluate it: 

Q: For the integral dr x+4 (a) Find the average value of f on [0, 5]. (b) Find a number z that satisfie...

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Q: tane cote +- = sin0 + cose %3D 9. Sece csce

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Q: D tgy x,y) and fgy (X,4) ) Given f(x,y)= 8x cos (y") find 9. Sin ly") ty 3. 8x 3 > -32x 53 3. 32x |-...

A: Given query is to find indicated partial derivative.

Q: onsider the objective shown in Figure below. Calculate a- The length from point (3,3,0), (3,6,0), (0...

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Q: Find the exact length of the curve. + 4х 1 < x < 3 y

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Q: Which of the following is a possible solution of y – 4y = 0 %3D O y =-2 cos(r) Oy = -e-2 O y = e" O ...

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Q: Which of the following assumptions do we take when solving mixing problems? O the liquid volume is c...

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Q: 1 x3 cos 2 4- x² dx 2

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Q: Evalute the indefinite integrals using the general power rule

A: ∫5e3x9-12e3x+4e6x4dx

Q: Which of the following equations can be solved using the method of undetermined coefficients?

A: Given that: 1. y''+6y'+9y=xcosx2. y''+4y'+5y=5x-2sinx3. y''+3y'+2y2=2xcos(3x)

Q: 1.0 lim g(x) I 2 help (limits) %3D lim g(x) = %3D lim g(z) =D I 12 lim g(z) = %3D -9(2) %3D

A: We have to find limit for given values  

Q: Find the area of the shaded region. 15 ft 10 ft ft

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

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Q: evaluate the definite integral of " sin^2{x} " from [-pi, pi]

A: We will use the reduction formula to solve given definite integral

Q: Provide a geometric description of the following sets of points: a) x? + y? +z? 1

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Q: Find the slope of the line passing through the pair of points or state that the slope is undefined. ...

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Q: 3 5/3 3 1/3 + 6 for 13x<27. Find the length of the curve y = =x 4 5

A: We have to find the length of curve.

Q: Find. dy/du 1 y у31 + %3D

A: Derivative of any constant function is 0 ddx(1x)=-1x2

Q: 1 th X +7 Fy =

A:

Q: 6) Find the following: a) An equation of the plane passing through the points P(2,1, 10, Q(-1, -1, 1...

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Q: Find the angle e between the vectors in radians and in degrees. u = 6i + 3j + k v = 3i – 6j

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Q: (V- 1)2 Evaluate dx by two methods: (a) Expand (Vx 1) and multiply the result by x-1/2: (b) let u = ...

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Q: Given the differential equation da? d'y dy 6y = 0 and the initial - dx conditions y(0) =0 and y'(0) ...

A: Given: d2ydx2+dydx-6y=0 And The given particular solution is; y=-6e2x+6e-3x   ...1   We know that, T...

Q: BASIC PROPERTTES OF INTTE RATION IHTEGRATE THE FOllowING:

A:

Q: The functions f and g are defined by the following tables. Use the tables to evaluate the given comp...

A: Given query is to find the value of indicated composite function f(g(10)).

Q: A 10-ohm resistor and a 5-Henry inductor are connected in series with a voltage source rated at 20 V...

A: use ohms law and Kirchhoff law for finding the right option.

Q: Given f(x)=3x+8, evaluate (f(x^2))

A: f(x)=3x+8 Substitute x=x2 in f(x)

Q: Find the exact length of the curve. y = x3/2, osxs 6 3

A: