Calculus and Above

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1. Use the Intermediate Value Theorem to show that the
1. Use the Intermediate Value Theorem to show that the equation cosx = x^2 has at least one solution. you do not need to find the solution.2. If 4x - 9 is less than or equal to f(x) less than or equal… read more
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Scott
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1) Use series to approximate the definite integral to five
Second opinion] 1) Use series to approximate the definite integral to five decimal places. ∫from 0 to 0.5 of (t^2/1+t^4) dt2) Find the Maclaurin series for f(x) using the definition of the Maclaurin s… read more
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I have a question about the chain rule. I'm working on the
Second opinion] I have a question about the chain rule. … read more
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Find the series at x=0 of the function f(x)=e^(-5x) Find the
Find the Taylor series at x=0 of the function f(x)=e^(-5x) Find the Taylor series at x=0 of the function f(x)=5sin(-x) Find the Taylor series at x=0 of the function f(x)=1/(2-x) Find the Taylor series… read more
Ray Atkinson
Ray Atkinson
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Please help me to calculate following integrals. Show your
Please help me to calculate following integrals. Show your steps and reasoning. 1) (x^4+3x^2+2x+1) sinx dx 2) (x^3+7x^2+ 4)/ (x^2-3x-4) dx 3) (2x+1)/ (x^2+ 2x+1)(x^2+x+1) 4) cot^5x csc^3x dx 5) sin^4x… read more
Trigeoscal
Trigeoscal
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1. Using the definition, calculate the derivative of the function.
1. Using the definition, calculate the derivative of the function. Then find the values of the derivative as specified. G(t)= 9/t^2; g ‘(4), g ‘(sqrt5) g ‘(t)= ? g ‘(-4)= ? (type the integer or simpli… read more
Ryan
Ryan
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1. given the curve that is described by the equation r=3 cos
1. given the curve that is described by the equation r=3 cos theta, find the angle that the tangent line makes wit the radius vector when theta=120 degree. a. 30 degree b. 45 degree c. 60 degree d. 90… read more
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Ryan
Bachelor's Degree
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solve the differntial equation or intial value problem (dy/dx)=((x*e^(x))/(2*y))
solve the differntial equation or intial value problem (dy/dx)=((x*e^(x))/(2*y)) 2) question find a n apropriate integrating factor for each differntial equation and solve. (3(x^2)*y-x^2)dx+dy=0 answe… read more
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These three problems I am unable to come up with a solution
These three problems I am unable to come up with a solution as of yet. If you wish, you may ask another expert. Find a power series representation for the function and determine the radius of converge… read more
Ashok Kumar
Ashok Kumar
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limx→a f(x)=0, limx→a h(x)=0,limx→a p(x)=∞, limx→a q(x)=∞.
limx→a f(x)=0, limx→a h(x)=0,limx→a p(x)=∞, limx→a q(x)=∞. whichof the following limits are indeterminate forms? For those that are not an indeterminate form, evaluate the limit where possible. (a)lim… read more
Stevewh
Stevewh
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limx→∞ arccos{(1+x²)/(1+2x²)} find limit. ∫√3/4, 0 dx/1+16x²; ∫π/2,
limx→∞ arccos{(1+x²)/(1+2x²)} find limit. ∫√3/4, 0 dx/1+16x²; ∫π/2, 0 sinx/1+cos²x * dx; ∫1/x√x²-4 * dx; evaluate the integral.… read more
Chirag
Chirag
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Determine whether the equations are exact, If they are solve
Determine whether the equations are exact, If they are solve them: 1) (2ysinxcosx-y+2y^2(e^(x(y^2)))dx = (x-sin^2x-4xy(e^(x(y^2)))dy 2) (2y- (1/x)cos3x) dy/dx + (y/x^2 - 4x^3 +3ysin3x = 0… read more
Michelle
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a) Use the graph-sketching strategy to sketch the graph of
a) Use the graph-sketching strategy to sketch the graph of the fuction: f(x)=5-24x/x^2 +5x c)Consider the function f(x) = 2xln x − 1. (i) Show that the equation f(x) = 0 has a solution in the interval… read more
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1. A rocket is modelled by a particle that moves along a vertical
1. A rocket is modelled by a particle that moves along a vertical line. From launch, the rocket rises until its motor cuts out after 17 seconds. At this time it has reached a height of 580 metres abov… read more
Math-John
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1. write down the derivative of each of the functions. f(x)=x^4
1. write down the derivative of each of the functions. f(x)=x^4 and g(x)=sin(5x) Hence by using the product rule, differentiate the function k(x)=x^4 sin(5x) 2. Write down the derivative of each of th… read more
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Stevewh
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(a) (i) Use the Composite Rule to differentiate the function
(a) (i) Use the Composite Rule to differentiate the function f (x) = e(−3x+2 sin x)/6 (ii) Use the Quotient Rule and your answer to part (a)(i) to show that the function g(x) = e^(−3x+2 sin x)/6 3 + 2… read more
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Q3.(a) (i) Use the Composite Rule to differentiate the
Q3.(a) (i) Use the Composite Rule to differentiate the function f(x) = e^(−3x+2 sin x)/6. (ii) Use the Quotient Rule and your answer to part (a)(i) to show that the function g(x) = e^(−3x+2 sin x)/6/ … read more
Osbert12
Osbert12
Master's Degree
2,468 satisfied customers
This question uses the function f(x) = -2x^3 - 9x^2 + 24x +
This question uses the function f(x) = -2x^3 - 9x^2 + 24x + 40 Find the stationary points of this function B. Using the strategy to apply the first derivative test, classify the left hand stationary p… read more
Calc101
Calc101
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