807 Answered Questions for the topic Calculus 1
06/25/18
FInd the 1000th derivative of Ln(x+1)
I am struggling as i know the sequence but got no idea how to describe it mathematically!
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Calculus 1
06/24/18
Siraj and Son Live near eachother. Sirajs house is 20 km east of Sons house. Siraj runs 12 km/h to sons house. son goes south to the beach at 9km/h. they start
Siraj and Son Live near eachother. Sirajs house is 20 km east of Sons house. Siraj runs 12 km/h to sons house. son goes south to the beach at 9km/h. they start at 9 and go on for 2.5 hours. when...
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Calculus 1 Hyperbolic Functions
06/24/18
d/dx [tanh^-1 (coshx)]
My teacher got sinhx/1+cosh^2 x as the answer but I’m getting -cschx as my answer because can‘t sinhx/1-cosh^2 x be sinplified using identities? Which answer is correct?
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Calculus 1 Limits
06/20/18
The answer to this limit (tan(πx/4)-1)/(sin(πx)) when x->1is -1/2. How to deal with Tan?
lim x->1 (tan(πx/4)-1)/(sin(πx))Answer is -1/2I tried to apply multiply up and down by the numerator conjugate and then don't know how to proceed. Is this even necessary? or is there a step I'm...
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Calculus 1
06/12/18
Find the dimensions of each courtyard to minimize cost of fencing for two courtyards behind the wall of a building.
A school wants to enclose behind a wall of the building 2 adjacent equal rectangular courtyards of total area 19200 square feet with a fence that cost $50.00 per foot. Find the dimension of each...
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06/10/18
Find H.A and V.A
f(x)=x^3-1/ x^2-1
there will be no h.a
and for the v.a we factor and we get
x=1 and x =-1
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Calculus 1
06/08/18
Find the domain of the function
Find the domain of the function. (Enter your answer using interval notation.)f(x) = x + 4/x^2 − 36
How would I go about solving this?
Thanks
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06/07/18
Points of discountuity
how do we find pointa of discountity of trignometric functions such as
tan^-1(5x)
or sec(5x)
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06/06/18
Points of discountity
how do we find the points of discountity of
f(x)=8x/5x^2-1?
If i made the denominator =0 i would get squared 1/5 and then when i will plug it back it will be undefined or am i doing it wrong !
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Calculus 1
06/05/18
The graph of y=f(x) is shown below. Graph y=1/2f(x)
The grap is a partial line , showing to be negative. The y-int is -3 and the slope is -1/2
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06/03/18
Limits at infinity
i am confused, we should divide the whole fractions by the greatest power right?
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05/31/18
Confused about limits?
As lim x approaches -3 of x^2-3x/x^2-9
1.how can you solve it in a step by step i am really confused
2. When finding the sided limit we subsitutw in the original function or after we factor it?
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05/23/18
On what domain is the function f ( x ) = 2 x^2 − 3 x + 8 continuous?
on what domain is the function f(x)=2x2-3x+8 continuous?
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05/22/18
Related rates - how is the area of the triangle increasing
The legs of an isoceles triangle are increasing at a rate of 16cm/s while the base of the triangle remains constant at 60cm. At what rate is the area of the triangle increasing when each leg is 50cm?
05/20/18
coshx = 5/3 ; solve for x
solve the following equations for x
a. tanhx = 12/13
b. sinhx = 3/4
c. coshx =5/3
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05/20/18
Find the domain, asymptotes, and x-intercepts of the function, and then sketch its graph.
a) f(x) = log(x −4) b) f(x) = log(5 − x) c) f(x) = − ln(x + 2)
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how do i find max profit from just a cost function? im also given what the product sells for.
im given a cost function only and how much a product sells for. Question is asking for max profit? how do i do it?
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The equation (x^2+y^2)^2=2(x^3+y^3) graphs the bean curve. Approximate the value of y at x=1/2 by using the linear approximation...
The equation (x^2+y^2)^2=2(x^3+y^3) graphs the bean curve. Approximate the value of y at x=1/2 by using the linear approximation to the curve at the point (1,1).
Possible answers...
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Let P be the population of some geographical area. If the population of the area changes over time based on...
Let P be the population of some geographical area. If the population of the area changes over time based on the following criteria, which of them signals exponential growth of the...
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05/14/18
The functions f and g are differentiable and f(g(x))=tanx for all x. If f(pi/4)=0, g(pi/4)=pi/3 and f'(pi/3)=1/2, what is the value of g'(pi/4)?
Possible answers include:
A. 0
B. 1
C. 2
D. 4
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The graph of x^4=4(x^2-y^2) has how many horizontal tangents?
Possible answers include:
A. 1
B. 2
C. 4
D. 5
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05/14/18
Consider the differential equation dy/dx=x^2+4y-1. If y=f(x) is the solution to the differential equation, at what point does f have a relative maximum?
Possible answers include:
A. (3, -2)
B. (0, 1/4)
C. (-2, -1)
D. (-5,-6)
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Calculus 1
05/05/18
At what rate is the shadow decreasing?
On a morning of a day when the sun will pass directly overhead, the shadow of a 60-ft building on level ground is 25 ft long. At the moment in question, the angle theta the sun makes with the...
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Calculus 1 Calculus
05/04/18
Calculus help
A right circular cone is circumscribed about a sphere of radius a. if θ is a semiangle at the vertex, find θ when the volume of the cone is a minimum. Note: The semiangle of a cone is the angle at...
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