Miscellaneous Operation on Complex Numbers 1.-22+1 2.(2 + i) 3.cos h(i)

Q: (x³– x³ – 6x) dx 3. x²+2

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Q: Of an initial amount of 9000 g of lead-210, how much will remain in 120 years? Lead-210 decays at a ...

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Q: The polynomial of degree 5, P(x), has leading coefficient 1, has roots of multiplic 2 at x = 2 and x...

A: roots : x=2,2,0,0, -5 Factors are given by:x-2,x-2,x-0.x-0,x+5hence P(x)=Product of factors P(x)=(x-...

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 1. (1+ cos x)y' = sin x(sin x + sin x cos x -y)

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Q: 7. csc'x- cot'x + tan²x cosx - sin?xcosx

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answ...

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Q: SLet R be the region in the ay plane boundedd by the curves y=X=8x and y=-6x+3. Set ye, but do not e...

A: We need to evaluate integral for area.

Q: For the given functions, find (f o g)(x) and (go f)(x) and the domain of each. 7 f(x) = 9(x) = 1-4x ...

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Q: source Allocation You manage an ice cream factory that makes two flavors: Creamy Vanilla and Contine...

A: NOTE: Refresh your page if you can't see any equations. . x=number of quarts of creamy vanilla y=num...

Q: HOW DO YOU SEE IT? Using the graph of f, (a) determine whether dy/dt is positive or negative given t...

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Q: Subtract in the indicated base. 11012 1102

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Q: (2a+1) 5. S -dx (z+2)*(x–1)*

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Q: Find the equation for the plane through the point Po = (7,2,3) and normal to the vector n= 4i + 6j +...

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Q: Determine the ORDER, DEGREE and LINEARITY(Yes or No) 1. y' y 2. (y)? — Зуу' + ху %3D0 a?u a?u a2u 3....

A: We have to solve 3 questions as per guidelines Please repost other questions again

Q: S(arcsin 2x)²dx

A: Given that a integration of (arcsin2x)2. We solve this integration by using general formula of the i...

Q: Suppose that L is a location function of an object, given as L(t) = /3t + 1. We will compute the ins...

A: Solution of given question is written in below steps.

Q: On what category of Methods in finding roots of nonlinear equations does the Newton-Raphson method f...

A: Topic:- calculus

Q: Suppose that 4.x2 + 9y2 = 100, where x and y are functions of t. dx 3, find dt dy when x = -4 and y ...

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Q: Graph the integrand, and use area to evaluate the definite integral ... 8 The value of the definite ...

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Q: 1 .2 2 dx = 0 xe 0- -

A: Given: 12π∫-∞∞xe-x22dx=0   We know that; ∫eax+bdx=eax+ba+C     Note: As per Bartleby guidelines we a...

Q: 6) Match each direction field below to the corresponding differential equation I yA II yA -2 2 x III...

A: We need to draw vector field diagram.

Q: Find an equation of the tangent line to the given curve at the specified point:  y= ( sqrt(x) )/(x+...

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Q: For the given functions, find (f o g)(x) and (g o f)(x) and the domain of each. f(x) = 3x+1, g(x) = ...

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Q: JUIT U Practiče Problems S teachers, there were 90 markers left The diagram represents the situati m...

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Q: Consider the following function: f (x) = (x − 4)(x + 2) / (x+4)(x+2 1.For what values of x is f(x) ...

A: f(x)=x-4x+2x+4x-2

Q: The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this...

A: Graph of the function is given, we have to find the required values.

Q: Need help with this!!

A: topic - functions

Q: The path r(t) = (t – sin t) i + (1- cos t) j describes motion on the cycloid x =t- sin t, y = 1- cos...

A: Here, the given curve is: r(t)=(t-sin t)i+(1-cos t)j

Q: Find the limit. (If the limit is infinite, enter 'o' or '-o', as appropriate. If the limit does not ...

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Q: Find the cross product u x v and verify it is orthogonal to both u and v. a) u = 4i + 3j – 2k and v ...

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Q: determine the value of k which will make h' (π/4)=6 when h(x)=In(cosx)+kx. a. 6 b. 5 c. 0 d. 7

A: Given, hx=lncosx+kx We have to find the value of k for which h'π4=6  

Q: Combination 1. A panel of judges is to consist of four women and three men. A list of potential judg...

A: This question can be solved using the concept of selecting r objects from n given objects when the o...

Q: 3. Find the volume of the parallelepiped with adjacent edges PQ. PR, and PS the points P, Q, R and S...

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Q: Given the differential equation 3 r² y" - 2ty' - 2y = 1? Determine the value of u2. 10 A 70 H2 35 91...

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Q: The amount of carbon-14 present in animal bones t years after the animal's death is given by P(t) = ...

A: given p(t) = p0e-0.00012097tand ivory tusk has lost 18% of carbon-14p(t) = po-18100pop(t) = 0.82p0t=...

Q: A tank is leaking at an increasing rate as indicated by the data below. Use the table to answer the ...

A: Solution: a) upper limit after 4 hours

Q: |x– 1, ifz> 0 estimate lim f(x).- [ 1, if z 4 5. а. 1/4 b. 2 c. does not exist d. 16

A: 4. f(x)=1,if x<0x-1,if x≥05. f(x)=1x,if x<4x2,if x≥4

Q: 6) Match each direction field below to the corresponding differential equation I yA II -2 -2 2 x III...

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Q: Using Laplace transform, find the solution of the initial value problem. 2y + y = 0, y (0) = –3 4.

A: Taking laplace on both side, and using y(0) =-3  

Q: Watch the video and then solve the problem given below. Click here to watch the video. For the given...

A: topic - composite functions

Q: 12. Suppose that r(t) = 5+502, where t is time in hours. How far does the bus travel in 1 hour exact...

A: GIVEN v(t)=5+50t2 where t is the time in hour

Q: The functions f and g are defined as f(x) = 5x- 2 and g(x) = - 7x. a) Find the domain of f, g, f+g, ...

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Q: Use the inverse function theorem to show that f and g are inverse of each other.  f(x)=x^3+1       ...

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Q: Find the general solution of the given higher-order differential equation. у" - 2у" — Зy' — 0 y(x) =

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Q: Let a be a real valued constant. Evaluate e-az sec(e¯a«)dx . O - In|sec(e-a*)+ tan(e¬a")|+C In/sec(e...

A: Given: - Let α be a real-valued constant. Then the indefinite integral is, I=∫e-αxsece-αxdx To find:...

Q: More example implicit differentiation on For f(x, y) = 4x² + 9y² – 36 = 0, find y' when x = V5.

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Q: II. Evaluate the limits. tan 0 2. lim 0 -0 sin 20 (y-#)* 2. 4. lim t 1-sin y y - 2 2.

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Q: Find the equation for the plane through the points Po(1, – 4, – 2), Qo(3, – 3,0), and Ro(5, - 1,0). ...

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Q: Sketch the graph of a function f that is defined on R and continuous exXcept for the stated disconti...

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Q: Describe the end behavior (long run behavior) of f(x) = x° As x → 00, f(x) → ? - As x → 00, f(x) → ?

A: The given function f(x)=x6