Prove: 1. tan (A/2) = - cos A 1 + cos A sin A 1+ cos A 2. tan (A/2) = ±

Q: 8х — 3 dx x4 + 16x²

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Q: Let R be the region bounded by x = 5, y = 3x + 1, y =- 2x + 16. %3D %3D To find the volume of the so...

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Q: If f(x)=5x2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x)g(x)=f−1(x) at the point (5,...

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Q: 9) y= 3sin 0 +2 %3D TC 3T 2

A: y=3sin θ+2

Q: Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum...

A: Given that Geometric series8+7+498+34364+...........Solution:8+7+498+34364+.......common ratio,r=78C...

Q: Evaluate the following limits. 1. lim cos2x = %3D x X- 4

A: Given:    limx→π4cos2x

Q: Let y(x) be the solution of y' = y − 3x such that y(2) = 2. Using a step size of 0.5, set y0 = y...

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Q: Find the general solution to the differential equation. y' = 6xy2 y

A: The given differential equation,         y'=6xy2

Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2xy – x - 4y² +...

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Q: esec-1 d.x. xVx2 – 1 1

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Q: How do I subtract fraction

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Q: Let W = F(x , y, z) = xy + yz + xz , where x(t) = 3 + sin(2t -4), y(t) = t2 and %3D dW z(t) = 3 - t....

A: Derivative using product rule

Q: 2) a. The graph ofthe function f(x) = ax²+ bx + c has the y- intercept of 3, and its tangent at the ...

A: Let's find. 

Q: Express lim E=1 Ax ||PI0 as a definite integral where P is a partition of [0,2]. k%3D1

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Q: Find the Maclaurin polynomials of orders n = 0,1, 2, 3, and 4 and then find the nth Maclaurin polyno...

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Q: 8. in n = 1

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Q: Consider the following. dt (4 + t? Let t = 2 tan(0) and determine the following. 2 sec-(0) dt = de t...

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Q: Direction: Determine the type of error committed of the following problems and explain why. Write yo...

A: As per the instruction, we will be answering only the first one. For (a), Statement: Maria insists t...

Q: Suppose g is a function which has continuous derivatives, and that g(0) = - 10, g'(0) = 9, g "(0) = ...

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Q: 4. A rod is divided into ratio 1:3:5:6. If the 2nd to the shortest part is 35, find the length of th...

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Q: 3 2x – x 1 dx = - arctan(x) – x - 1 -- In \x – 1| + 2(x – 1) 1 + C - (x – 1)²(,² + 1) 2

A: In order to evaluate the integral, firstly we need to split it into partial fraction and then integr...

Q: Answer the following questions about the function whose derivative is f'(x) = Px-4) x# - 5. x+5 a. W...

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Q: Find the equation of the vertical asymptote f(x)=log(x+4

A: We have to use properties of log function to solve the problem.

Q: 1. Suppose that f is an infinitely differentiable function (that is, all its derivatives exist and a...

A: According to our guidelines we can answer only three subparts per posting. Hence we will answer subp...

Q: DETAILS LARCALC11M 9.6.044.MI. Use the Root Test to determine the convergence or divergence of the s...

A: Let's find. 

Q: Find the critical numbers of f(z) = 2? – 18z + 4 and classify all extreme values given 0 < z < 12. a...

A: In this question we have to find the values of Critical nos. and absolute value of max and min.

Q: Find the area inside the circle r = 7 and outside r = 7+7sin 0. NOTE: Enter the exact answer, or rou...

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Q: A. Evaluate the following limits. 1. lim cos2x = 4 2. lim tan3x 3. lim[log3 2x] %3D

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Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 16), y(0) = 0 y =

A: Given:- y' = 3x2 (y2 + 16), y(0) = 0 To find:- The solution to the initial-value problem.

Q: Use separation of variables to solve the differential equation explicitly for u. du dt = 3 + 3u + t...

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Q: A botanist can purchase plant food of four different types, I, II, III, and IV. Each food comes in t...

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Q: CBook Pro (d) Find the interval(s) where f(x) is decreasing. (Enter your answer using interval notat...

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Q: The function f(x) sin(3x) has a Maclaurin series. Find the first 4 nonzero terms in the series, that...

A: Maclaurin series is just expansion of function with center zero. Which we xan found easily.

Q: The vector describing a particular particle is given by F (t) = Rcos (wt) î + Rsin (wt) ĵ, where R a...

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Q: у-аxis 24 1- +>x-axis -1 1 2 3 4 5 6 7 -3 -5- -6+ What is the equation in standard form of a circle ...

A: In this question we have to find the equation in standard form of a circle.

Q: 5. (a) Find elementary matrices E; (avoiding ones that swap rows) which will row reduce the matrix 1...

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Q: Suppose that x = x(t) and y = y(t) are both functions of t. If x2 + y2 = 25, and dx = 2 when x = 3 a...

A: Given that x=x(t) and y=y(t) are both functions of t . If  x2+y2=25           ..(1) Differentiate eq...

Q: Sy sin 3ydy

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Q: 5 tet dt.

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Q: 3. For the 2 curves xy = 9 and x = 81y, find angle between the two tangent lines at the point of int...

A: NOTE: Refresh your page if you can't see any equations. . the first curve is  . the second curve i...

Q: Find the values of x for which the series converges. (Enter your answer using interval notation.) E(...

A: Geometric Infinite series :     An infinite geometric series is the sum of an infinite geometric seq...

Q: The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventua...

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Q: 5+ 4 cos 0 as shown in the figure below. What is t aluate and round to the nearest thousandth.

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Q: Let F(x , y, z) = g(y) + h(z) + 5 In(x - 2) , where g(y) and h(z) are differentiable functions of si...

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Q: Find the solution to the initial-value problem. y' = 3x2(y2 + 9), y(0) = 0 y

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Q: Write a chain rule formula for the following derivative. aw for w = f(x, y, z); x = g(r, s, t), y = ...

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Q: 1-coskx 2. lim = 0. kx

A: We have to find the limit of the function (1-coskx)/kx when x tends to 0 . 

Q: 1. The first derivative of 3x² – 2xy = 7

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equations of a Tangent line in a given curve to the given value of x y=tan^-1 x, x=1

A: NOTE: Refresh your page if you can't see any equations. . here we have x=1 so the point on the gr...

Q: Find the equation of the tangent line to y = arctan(2x) when x = V3 O y - = ( - ) 1 3 O y - = }(2 - ...

A: Let's find.