Q2 (10 M)/ Are the following functions analytic? (a)f(z) = sin(z) (b) f(z) = Re(z) –i Im(z) %3D %3D

Q: A ball is thrown straight up into the air off the top of a building so that is height in feet after ...

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

A: Solve the curve by using cylindrical shell method.

Q: road length (in kilometers), T is the total county land area (in hundred-acres (Ha)), U is the urban...

A: We will find the number of accidents. 

Q: Using bisection method with [a1, b1] = [1,2] , estimate the root of x – 2 + Inx = 0 such that the to...

A: Given: fx=x-2+lnx a1, b1=1,2tolerance=fxi+1-fxi tolerance=0.01-------------------- Bisection Method:...

Q: Given a function ƒ (x) whose graph is shown below. 3 2 h -3 12 -11 2 3 -2- -3 Determine lim f (x).

A: Graph of the function is given, we have to find the left limit at x=1

Q: 6 3x° sin Evaluate: lim

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Q: Evaluate the expression. 2 7 + 3 6. 1 + 7+ 5- (Simplify your answer. Type an integer or a fraction.)

A: Topic:- algebra

Q: A particle moves along a straight line and has acceleration given by s" = 5t. Its initial velocity i...

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Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: Suppose the labor cost (in dollars) for manufacturing a camera can be approximated by L(x.y) =x +y -...

A: Given: Suppose the labor cost in dollars for manufacturing a camera can be approximated by Lx, y=32x...

Q: Performance Task *Limits of Transcendental Functions Complete the table of values to evaluate lim t-...

A: Since you have asked multiple question As per our policy, we will solve the first question for you. ...

Q: What is the value of a so that In (e") dx = 6? a A.) 0 B.) 1 C.) 2 D.) 3

A: Solve it by using logarithms rules. 

Q: Q2 Second-order non-homogeneous ordinary differential equation given as; y" + 3y' –10y = e2* Calcula...

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Q: (2xy-tany)dx + (x² – xsec*y)dy = 0; y(1) = *

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Q: the coefficient of the fourth term in  the expansion of  (0.5 – x)10 a. 15/19 b. 17/16 c. -15/16 ...

A: We will find the fourth term and then it's coefficient. 

Q: C 1000 A В

A: We know that sum of angles of triangle  <A+<B+<C=180°  <A+27°+94°=180°  <A+121°=180° ...

Q: x = 2. What is the value of y when x = -1? а. —3 b. 3 15 С. d. 3

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Q: Since the start of the year, the price of gasoline has been decreasing at the cost of 5 cents per ga...

A: We  have given that the start of the year, the price of gasoline has been decreasing at the cost of ...

Q: Function Type Differential Operator ... AxN + BxN-1 + . + C DN+1 AxNeax (D - a)N+1 cos(Bx) or sin(Bx...

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Q: Evaluate (in the picture)  Then, write the coefficients of the integrals: Blank 1 cos3t + Blank 2 c...

A: Given that: ∫(sint.cos2t)dt

Q: Find the volume formed by rotating the region enclosed by: x = 7.8y and y = x with y > 0 about the y...

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Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the...

Q: (sin x – 1) dx + (cos x + 1) dx = C.)-1 D.) - (1+) А.) —89 В.) —91 |

A: Using formula  ∫ Sin x dx = - Cos x + C ∫ Cos x dx = Sin x + C ∫ xn dx = [xn+1/(n+1)]+C   ∫(Sin x - ...

Q: x+1 x-x-2

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Q: A balloon leaves the ground 30 m from an observer. If it rises at the rate of 2 m/s, how fast is it ...

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Q: Use implicit differentiation to find the tan x sec?x 9. y' of sec?x + csc²y = 9 ans. y' = coty csczy...

A: topic - implicit differentiation

Q: The half-life of cesium-137 is approximately 30 years. If an artifact initially contains 100 g of ce...

A:  decay constant k=ln2half life

Q: Evaluate the difference quotient and simplify the result. h(x) = x2 + x + 5     h(x + Δx) − h(x) Δx...

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Q: Function Type Differential Operator AxN + BxN-1 + .+C DN+1 AxNeax (D – a)N+1 cos(Bx) or sin(Bx) (D2 ...

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Q: J, 4. lim X-3 x2 - 9 x - 3 lim X3 x2 – 2x – 3 5. X - 3 lim X"i x2 – 2x – 3 6.

A: We need to find limit.

Q: A penny of 0.75 inches in diameter is randomly dropped 100 times on a customized Go board. It inters...

A: Diameter of penny = 0.75 inches Probability of intersect of lines = 70100 probability on not interse...

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the...

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Q: A. How do you define Differentiation? B. Explain the principle of derivative with a given function, ...

A: Differentiation 

Q: A central angle ? in a circle of radius 7 m is subtended by an arc of length 8 m. Find the measure o...

A: we have to determine degree 

Q: Forms of Summation Notation 5. Sum of the squares of the variables: Ex = x,² +x,' +..+x,² i=1 Exampl...

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Q: 5. f(x) = Vx2 + 3x + 6; f'(2)

A: Given: fx=x2+3x+6 To find: f'(2)

Q: The definite integral (-+) dx when evaluated is equal to - 11 Find the value of a." 12 3Vx. a

A: Given ∫49-xa+13xdx = -1112we know that∫xn dx = xn+1n+1 + C

Q: x* + x³ + x² – x + 1 – x + 1 x(x² + 1)²

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Q: A weight-loss counselor has prepared a program of diet and exercise for a client that gives the foll...

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Q: Identify the type of generalized integral +00 fx'e* dx- and in continuity (if converging) to be calc...

A: According to question,Given Integral,Let I= ∫0+∞ x2ex3 dx

Q: Complete the table. 4 lim f(x) X→3° -3 = -00 lim f(x) %3D X--00 lim f(x) -2 -1 6 7 8 %3D X→+0 -1 lim...

A: Topic = Limits

Q: A. Evaluate the following integrals by substitution. 1. Sx(2x? + 3)®dx

A: Put (2x2+3)= t  Differentiating both sides  4x dx= dt    

Q: dx What should be the rewrite of the integrand of so that the resulting integral is integrable? ... ...

A: ∫dx1+cosx

Q: Examine the following functions for maxima-minima and trace the curves. a. Y = x* +1 a²x b. Y=- a²+x...

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Q: (x² +3y² +5)dx +(6xy+ 6y+3)dy = 0 Identify the exactness of the differential equation. Calculate the...

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Q: Use linear approximation, i.e. the tangent line, to approximate v81.1 as follows: Let f(x) = Vx. Fin...

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Q: 5. Evaluate using partial fractions 4x2 - 2x + 8 + 4x

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Q: Solve the given differential equations FODE.  Solve each and show complete solution.    (3x – y – ...

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Q: x5 dx (x6-8)2 2.

A: given that,  evaluate the following integral ∫x5(x6-8)2dx integration formula   ∫xndx=xn+1n+1+C

Q: 2x - 3x - 21х -2х + 24 y = 2x* – 7x' – 11x² + 22x + 24 E. Infinite discontinuities F. Removable disc...

A: Here we have to find out the infinite discontinuities and the removable discontinuities