5. Find the middle term in the expansion of; (+)* 12

Q: Question: Find the derivative. y = 2/T sin /T Select one: sin /I y' = cos /T + cos/r y' = sin /I + y...

A: Topic:- derivatives

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Q: Differential Equation problem: A thermometer is taken from a room with an 70° F temperature and pla...

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Q: 18. Determine the roots of the auxiliary equation of y" + 3y" – 4y' – 12y = 0 (а) —3, —2,2 (b) -3, –...

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Q: The graph of y3f(x) is given. Solve the inequalities. Write the solution sets in interval notation i...

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Q: Given x + 5, x 3 Find (a) lim f(x) (b) lim f(x) (c) lim f(x) (d) lim f (x) and lim f(x) X-3 X-3 X-4 ...

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Q: f. xy³y' = x +In(x)

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Q: Assume the point (6, 3) is on the graph of y = f(x). Determine the value of n in the following situa...

A: y=f(x)Susbstitute (x,y)=(6,3)3=f(6)   --->1a) y=7f(x)Susbstitute (x,y)=(6,n)n=7f(6)   n=7×3     [...

Q: A certain radio active substance has half-life of 38 hours. A. Determine the value of k in four deci...

A: Consider the radioactive decay function, A(t)=A0e-kt  Where A(t) represents the amount of substance ...

Q: II. Solve the following systems of nonlinear equations: y +2x -3= 0 1. y + x2– 6 = 0 2. 4x2+ y² = 13...

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Q: Given the function f(x) = (x+3)²(x-1). Find the critical points of f(x) and its increasing and decre...

A: f(x)=x+32x-1f'x=x+32ddxx-1+x-1ddxx+32       =x+32+2x-1x+3       =x+3x+3+2x-1      =x+33x+1to find cr...

Q: Identily the asymptotes. Give your answers in exact form. Do not round. *-4x+2x-5 a(x) = X-6 Separat...

A: To find horizontal, vertical and slant asymptote.

Q: (1 point) Use implicit differentiation to find an equation of the tangent line to the ellipse define...

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Q: s Two sider of a triangle have lengthsa:4 Cm b=3 Cm but are increasing at the rate of 1 c/see If the...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2,3, and 4 about x = xo and then find the nth Taylor...

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Q: Evaluate W(1 + x, x, x^2

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Q: Evaluate Jsinudu, a, cos u+c b. cos u c. -cos u + c

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Q: 2. A chemical reaction proceeds in such a way that after the first second, the amount of a certain c...

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Q: Solve the following equations, showing all work and clearly communicating your process by stating wh...

A: The given equation,     3x2+4x=127

Q: the average rate of change of the function f(x)=3 tan(0.35x), over the interval [−2,−1]. What is ...

A: Given query is to find the average rate of change for indicated interval.

Q: ting factor for the given differential equation is

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Q: Find the radius of convergence and the interval of convergence. k + 7 k=0 Radius of convergence: Int...

A: This is a question of series calculation . Based on the general concept of the series we will find o...

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y...

A: Slope = dy/dx

Q: The complementary solution, ye, of the equation y" + 2y" + y' = 10 is %3D (a) ye = C1e¬ + c2e¬* + C3...

A: For the solution follow the next step.

Q: The cost of a can of Coca-Cola in 1960 was $0.10. The function that models the cost of a Coca-Cola b...

A: topic - exponential function

Q: Find the radius of convergence and the interval of convergence. of Σ k(k + 1) k=1 1) First apply the...

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

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Q: Find the standard equation of the parabola which satisfies the given condition. Focus (7, 11), direc...

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Q: Which of the following is a differential equation with homogeneous coefficient? a) (y² – Vx² + y² ) ...

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Q: Find the derivative of f (x) = cot¬l 2

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Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 V5 a,. aj = Compute lim an.

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Q: Find the volume formed by rotating the region enclosed by 10y and y = x with y > 0 about the y-axis ...

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Q: (6) Find the direction and magnitude of the greatest rate of change of T at (3 -) 2)

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Q: Graph both the parent function and f (r) on the same coordinate system, labeling at least three poin...

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Q: Given revenue and cost functions R(q) = 90q - 0.4q and C(q) = 15q + 600, find the maximum profit tha...

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Q: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters p...

A: Follow the procedure given below.

Q: what is (x fyx+ fy) given fCKiy)= ey

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Q: 4. A probability density function is given by [0, 4, if x 2 1, if x < 1 8(x) = A where A is a positi...

A: We will use properties of pdf( Probability density function) to find value of A.

Q: Find and sketch the domain of the function. f(x,y) = Vy- 6x – 7 Find the domain of the function. Exp...

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Q: The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airp...

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Q: Find the Maclaurin series for the func f(x) = cos 2x %3D f(x) = %3D n=D0

A: given:f(x)=cos2x

Q: d'y if-8x-7y = 10. Find %3D dx2 Provide your answer below: -口 dy dx² FEEDBACK

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Q: Find the Maclaurin series for the function. f(x) = x³ sin(x) F(x) = E n- 0

A: First I have written the Maclaurin series for sin(x),just use it and easily find the Maclaurin serie...

Q: Suppose f(x) = – 0.5 · x² + 3 graphing calculator (like Desmos function f. a. Determine the interval...

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Q: 4. Solve the given differential equation by using an appropriate substitution, if necessary. by v? +...

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Q: Determine the focus and directrix of the parabola with the given equation. Sketch the graph, indicat...

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Q: 3 3 (x+ Ax)° – x° lim x→0 Ax

A: Limits

Q: Evaluate the following integral using trigonometric substitution. 1 2 dx 3 - (4x +1 )

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Q: Given Cost and Revenue functions C(q) = q° - 11q +53q + 5000 and R(q) = - 3q“ + 2500q, what is the m...

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Q: For an exponentially growing quantity that grows at a rate of 4.0% per year, approximate the number ...

A: topic - exponential function