The slope of the secant of the graph of y=3x - 2x2 through the points at which x = -1 and x = 2 is 1) -9 2) 1 3) -3 4) -1/3

Q: 2п +1 Е. У Зп +2 n=0

A: ∑n=0∞2n+13n+2    Thus,  an=2n+13n+2    Thus, we can proceed further with ratio test

Q: Find differential of the function ? = (x^2+2)^3 dy = ____ dx. When x = 4 and dx = 0.05, compute th...

A: We will differentiate the function Y=(x^2+2)^3 as follows 

Q: J. E n=1 Vn 2.

A: p-test series for a series to be convergence ∑n=1∞1np will diverge if p≤1              will converge...

Q: Given y = 3x2 and x = t2 - 1, find dy/dt for t = 1 %3D 1) 3 2) 6 3) 0 4) 12

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Q: Question 8 A -tan(61) + C B 6tan( 61) + C B Ltan (61) + C D - tan

A: The given integral is sec2(6t).

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Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y + 1 y = ‍   Graph the s...

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Q: 2x – x3 1. Evaluate dx. (x – 1)²(x² + 1)

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Q: do a number talk, please write out 8-10 strategies that a student would do mentally (no paper or pen...

A: The problem solved by  1. Place value with regrouping  2. Constant and difference. 3. Removal in par...

Q: Q.4\ The Taylor series for cosh(x) is:

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Q: Find the derivative of each function by using an appropriate differentiation rule. 1) f(x)=3x^3 - 4...

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Q: 2 4n = (z - 6)° + (z- 6)* (т — 6)° 25 - 3! (x – 6)8 125 - 4! +... 5- 2! Find an expression for an an...

A: Question is solved.

Q: 87 1

A: Given query is to simplify the expression.

Q: ld the absolute extrema if they exist, as well as all values of x where they occur, for the function...

A: Topic:- application of derivatives

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 65°C, it...

A: Given:    T (surroundings temp)= 20    T0 (initial temp)  = 95   Now      T = 65  dT/dt = 1

Q: St Joseph's church has a fund-raising valentine's dinner  to renovate their church.   Their account...

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Q: Given the below differential equation, solve for the value of y(t) att = 3.8 s. 2.5y" + 11.2y' + 5.4...

A: This is a second order homogeneous differential equation with constant coefficients the solution of ...

Q: Σ n K. n=1 e

A: According to question,Given series,∑n =1∞ nen2

Q: Suppose the total cost C(x) (in dollars) to manufacture a quantity x of weed killer (in hundreds of ...

A: The given cost function is: C(x)=x3-4x2+8x+50, x>0 where x is quantity.

Q: Use logarithmic differentiation to find the derivative of the function. х — 5 y = x° + 5

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Q: lim 2+x) In(1-x) x0 (1-e*) cos x

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Q: sin 20 arctan(sin 0) d0

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Q: Let R be the region inside the polar curve r = 4 and outside the polar curve r = 4+2 cos 0 as shown ...

A: Consider the figure given below : We need to calculate the shaded area from the above figure.

Q: 16 Fill in the blanks. Non-vertical lines have ___________________ slope. Decreasing lines have ____...

A: for vertical line there are no slope  and for non vertical line we cant say about slope because it i...

Q: 8. The following graph represents the displacement of an object, s(t). i. Sketch the velocity v(t), ...

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Q: Find F'(x) if F(x)= e^(-x^2) * x^sin(x^3)  Use logarithmic differentiation

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Q: Differentiate the function. 1 f(x) = In .4 %3D f'(x) = %3D

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Q: grocery

A: Please refer to the image below

Q: cos4x - sin4x = cos 2 x 2 cos 2 x -cos 2 x

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Q: rior to the circle Find transformation which maps outside| z | = 1, on the half plane R (w) 2 0 %3D ...

A: Given transformation which maps outside z=1 on the half plane 

Q: 6. Find the exact solution of each equation, no decimals. Do not use a calculator and find the domai...

A: Given problem:-

Q: Determine if the following series converge or diverge. Make sure you state which test you use to mak...

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Q: Find the solution to the differential equation y' =    2y satisfying y(0) = 18.   y(t) =    b). F...

A: Topic:- differential

Q: ind the equation of the osculating circle at x=2 for y= 1/4x^2-x. Draw the circle

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Q: 4. Use the method of undetermined coefficients to find a particular solution to the system below. Pr...

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = x0 and then find the nth Taylo...

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Q: Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exactly...

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Q: Determine the real number ? such that vectors a = 3i + 2j and b = 6i + ?j are orthogonal.

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

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Q: 9. A thermometer reading 34°F is brought into a room with a constant temperature of 80°F. If the the...

A: Given: Newton's Law of Cooling: u(t) = T+(u0-T)ekt Where u(t): Temperature after time t T: Temperatu...

Q: se separation of variables to find the general solution. (Use C for the constant of integration.)  ...

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Q: ders n = 0,1,2,3, and 4 about x = %3D X0, and then find th

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Q: second-order Taylor series expansion of function f(x)=ex g(x) at x=0 and calculate f(0,8) using this...

A: f(x,a) = f(a) + (x-a)f'(a) + (x-a)22f''(a)Here  x= 0 , a = 8So, f(a) = e8×g(0,8) = e8Since f(x) = ex...

Q: - Use integration by parts to show that if f has an inverse with continuous first derivative, then (...

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Q: 11/4 x  2 2/5 ÷ (11/4 + 21/12)  =

A: Given 11/4 x  2 2/5 ÷ (11/4 + 21/12)

Q: 1 -1 -2 -2 -1 0 1 2 3 2 3 4 4 -2 -1 4. FIGURE 6.1.12. Spiral point (-2, 1) and saddle point (2,-1). ...

A:   Given the systemdxdt=2x-2y-4 anddydt=x+4y+3 To find critical point we take dxdt=0 anddydt=0  

Q: If Ax) = x² + 3x – 2 and g(x) = X+2 then g(f(-1)) is equal to 6.

A: The objective of the question is evaluate the value at the given functions of composition.

Q: V and V= 250 volts, R = 50 ohms. Determine the change in I resulting from an R 1. If - increase in 1...

A: Given: V=250 volts and R= 50 ohms, dVdt=1,  dRdt=0.5

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...