Let z = 1+ V3i. (a) Represent z in polar form (b) Find z10

Q: ôʻy The order of the differential equation 5x- + 3x + w²y = 0 is ôx 3 dʻy The degree of the differen...

A: To find order & degree of differential equations.

Q: 4 (41² + 3)² dt cos t dt 1 + sin t sec x tan х dx sec x – 1 -

A:  we have to integrate the given integration 

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

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Q: oWE NING METHOD OF VNDETERMINED COE FFI CIENTS (o -4D+3) x = 2 cost + 4 vint

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Q: Parabolas with axis parallel to the x-axis. Ans. y'y"-3(y")=0

A: To find:- Differential Equation of parabolas with axis parallel to x axis

Q: Let f(x) = (r' - 5z)" and g(z) = 20z + 10. Find g(f(x)). O 20(- 52)+ 10 o (20z + 10) ( - 5x)*) (x) O...

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Q: Use logarithmic differentiation to find the derivative of y with respect to 0. 0+5 y= O cos 0 Find t...

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Q: Direction: Read then solve the question carefully. Click the letter of the correct answer. Find the ...

A: Slope amd tangent line 

Q: Xt 2X2 -5 Xi + X2 + 2X, -2

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Q: e - a) + ? = α a²

A: See the details solution in below

Q: nd the derivative of the function: y = 3x (6z – 5. elect one: y' = 36x – 45x² y' – 18z – 30z² y' - 1...

A: y=3x(6x-5x2)

Q: Graph the line whose y-intercept is -2 and whose x-intercept is 7. -10 -8 6. 10 -10+

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Q: 11.What is the slope of the tangent line to the curve y = 3x? – 5 at poin - O A. -7 О в. -5 O C. -6 ...

A: Differential equation 

Q: (2x + xy)dy + 2ydx = 0 %3D

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Q: 3. What is the derivative of y = (f(g(f(g(x))))? Furthermore, if you are asked to evaluate the deriv...

A: The given function,     y=fgfgxg0=0, f0=1 and g1=f1=1

Q: 1. Integration by parts: 2 3 .5x X°e dx

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Q: far 4 (4f² + 3)² dt cos t dt 1 + sin t sec x tan x dx sec x – 1

A: Given:  4 ∫4t2+32 dt5 ∫cos t1+sin t dt6 ∫sec x tan xsec x-1 dx To Find: To evaluate the each of the ...

Q: 4-ху Find lim (x,y)¬(2,1) x²+3y2 if it exists, or show that the limit does not exist.

A:    limx, y→2, 14-xyx2+3y2Plug in the value x, y=2, 1=4-2· 122+3· 12=27

Q: Solve the differential equation. 2y dx = 3xy? dx + x dy When x = 2, y = -2 %3D

A: The standard form of Bernoulli's equation is: dydx+Py=Qyn Where; P & Q is the function of x.   G...

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

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Q: An airplane is flying in calm air with an airspeed of 300 mph. If the plane is gaining climbing at a...

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Q: +1 2+2x+x+2 20 points) Answer the following questions for the function g(x)=- a) What is the domain ...

A: a) what is domain of g?The domain of a function is the set of input or argument values for which the...

Q: Consider the polar equation r = 16 cos(0) – 12 sin(0). (a) Convert the given polar equation to a Car...

A: The given polar equation is: r=16cos(θ)-12sinθ...(1)

Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is giv...

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Q: Let f (z) = 2 z² +6 z +5. We will use the definition of derivative to find the deivativ (1) What is ...

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Q: 1. Find the point on the graph of f(x) = x -8x – 5 where the tan gent line is horizontal. (SLOPE = 0...

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Q: QUESTION: A lamina occupies the part of the rectangle 0 < x < 1,0 < y < 7 and the density at each po...

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Q: Solve ay" + by' + cy solution in 1(a). = 0 again using a power series. Show that your solution match...

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Q: Homogeneous Differential Equation: (x* + 2.xy – 4y° kdx – (x² –8xy – 4y² kdy = 0 y. x=2; d = wdx+ xd...

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Q: B each have x = 0. Taylor polynomials of degree 2 approximating these functions near x = 0 are as fo...

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Q: 5. The equation of a family of parabolas with axis paralel to the y-axis is 6. The equation of the f...

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Q: Gra ph the following fuctions and Show domains and ranges oF them ノ- ソ= 4Cos2x 文 MiS= R-て 3. %3D 3- ...

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Q: ') Given y= -2x² –16x, find the absolute min imum and the absolute max i in the interval[-1, 4]

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: The equation ? + sin(xy) + C = 0 is the general solution of O y' + cos (xy) = 2 (x + y) 2 (ydx + xdy...

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Q: 26.The derivative of a sum is the sum of the derivatives. AEalse. B.True

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Q: The function f(x) changes value when x changes from x, to xo + dx. f(x) = 2x- 2x, x, = 1, dx = 0.1 a...

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Q: A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform thickness. If the ...

A: Given problem:- A spherical iron ball 12 in. in diameter is coated with a layer of ice of uniform th...

Q: and assume f(-2) =0 f'(– 2) = - 1. Find h'(-2). Let h(x) =x²e*(x)

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Q: Activity 3. "Let's be connected with each other" Directions: Compute f'(3) for each of the following...

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Q: Direction: Read and understand the statement before answer. Click "TRUE" if the statement is correct...

A: First we simplfy the given function then derivative 5 times with respect to x.

Q: Choose a number and apply the following operations to it. Multiply the number by 12, and subtract 8 ...

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Q: (NAS1) Find the local linear approximation L (x)of the function f (x) = 5 – xåt x = 2 -

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Q: 8. The differential equation (2x' -xy² -2y+3dx-(x'y+ 2x)dy =0 is exact because ON

A: Given:     Differential equation 2x3-xy2-2y+3dx-x2y+2xdy=0 The differential equation is exact if    ...

Q: 3. Separation of Variable s: x(y+1)dx+ dy = 0

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Q: V 3x – 4 FINDTHE DERIVATIVE USING THE DEFINITION

A: Given: fx=3x-4   As we know from the definition of the derivative; The expression for the derivative...

Q: Answer 4,5,6,7 4.What is the second derivative of  y=6x^4−3x^3+x^2−5? A.y′′=144  B.y′′=72x^2−18x+2...

A: As per guidelines we can solve only one question at a time so if you need more answers kindly repost...

Q: 4. Homogeneous Differential Equation: (r+2ry-4y' dx-(r -8xy -4y' dy = 0 x=2; Use the substitution y ...

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Q: 4. Homogeneous Diffe rential Equation: (r+2ry-4y kdx-(x² -8.ry-4y kdy= 0 y Use the substitution y wx...

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Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

Q: xy' + y = x³y³ Inx

A: This question is related to differential equations, we will solve it using given information.