02/12/24
helpp!! :) Calculus
Find the equations of all lines that are tangent to the graph of the function f(x) = x ^ 2 + 1 and pass through the point P(1,0). Be careful: this point is not on the graph of f.
02/11/24
Find the value of the constant
Find the value of the constant c that makes the following function continuous on (−∞,∞).F(x)={x2−c if −∞<x<3 cx +6 if x≥3c=?
State whether the following is true or false by differentiation.
Please show a step by step process of how to solve.
02/08/24
Consider the function f(x)= 1/2 cos(2x)
1. Consider the function f(x)= 1/2 cos(2x) (a) Compute ( f’(x) (b) Find an equation for the tangent line to the graph of f(x) at x= π/3 (c) Compute f(11)(x).
02/06/24
Two fire towers are 40 kilometers apart. Tower B is due east of tower A.
FULL QUESTION: Two fire towers are 40 kilometers apart. Tower B is due east of tower A. A fire is spotted from both towers. From tower A the fire is E 21 N and from tower B the fire is W 38 N. Find...
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02/05/24
Functions and Quotient
Let f(x) be the function 1 / x+5. Then the quotient f(5+ℎ)-f(5) / h can be simplified to -1 / aℎ+b for:a=andb= (I've been able to get a, which is 10 but for some reason I keep getting b as 0 and...
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Use the properties of integrals to evaluate the integral below.
Please show the step by step process.
Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of x=y^(5/4) and x=0, 0<=y<=1 about the x-axis..
Please help. Very confused, due very very soon.Use cylindrical shells to find the volume of the solid formed by rotating the area between the graph of x=y5/4 and x=0, 0≤y≤1 about the x-axis. ...
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02/01/24
Calculus I Single variable
A pole of length L is carried horizontally around a corner where a 2-ft-wide hallway meets a 9-ft-wide hallway, as shown in theπ figure on the right. For 0<0<2, find the relationship between...
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02/01/24
Calculus Integrals involving Partial Fraction Decomposition and U Substitution
Evaluate the following integral by first applying the substitution rule with u=e^x followed by a partial fraction decomposition: ∫(5e^x+2)/(e^x+1)dx.
Evaluate the Integral using the given theorem.
Evaluate the Integral Below using the given theorem. DO NOT USE THE ANTIDERIVATIVE METHOD I need to learn how to use the definite integral method. Only use the theorem provided please. Please show...
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Determine a region whose area is equal to the given limit. Do not evaluate the limit.
A). √(1+x) on [-3,3]B). 3√(1-x) on [0,3]C). √(1+x) on [0,3]D). 3√(1+x) on [-3,3]E). 3√(1+x) on [0,3]Please show the whole process step by step.
Use the form of the definition of the integral given in this theorem to evaluate the integral. 0 to 4 of (9 − x^2) dx
Use the form of the definition of the integral given in the theorem to evaluate the integral. Integral 0 to 4 of (9 - x^2) dx
01/30/24
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis. y = x^3, y = 8, x = 0; about x = 7
Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the given curves about the specified axis.y = x3, y = 8, x = 0; about x = 7V=?
01/30/24
Solve the following linear system.
I don't understand how to get the free variables as well as the first column. I got it to RREF but after that I'm confused. I keep getting it wrong. Please help! Here is the link to the question....
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01/29/24
at what point does a line with a slope of 3/4 and a y-intercept of -5 intersect a line with a slope of -1/4 and a y-intercept of 3? A. (-8,1) B. (-1,8) C. (1,8) D. (8,1)
A. (-8,1) B. (-1,8) C. (1,8) D. (8,1)
A town has a population of 10000 and grows at 2.5% every year. What will be the population after 7 years, to the nearest whole number?
A town has a population of 10000 and grows at 2.5% every year. What will be the population after 7 years, to the nearest whole number?i'm typically really good at math (i'm even in scholarship...
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01/25/24
Graphs of the Sine and Cosine Function
1234-1-2-3-41234-1-2-3-4-5-6Based on the graph above, determine the amplitude, period, midline, and equation of the function. Use f(x)�(�) as the output.Amplitude: Period: Midline: Function:
01/24/24
Determine Increasing/Decreasing and Concavity
Given the function f(x)=x^3−48x^2, determine all intervals on which f is both increasing and concave up.
I am also confused about when my teacher tested values and stated whether or not a number...
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01/23/24
answer please to help me
Bill and Mary Ann went to the Viola bakery. Bill bought 4 danishes and 8 filled donuts for $15.28. Mary Ann bought 6 of each for $13.32. What is the price of each type of pastry?
01/22/24
Solve the initial value problem
Find the antiderivative that satisfies the conditionf(x) = 8x^3 - 2x^-2 ; F(1) = 5The answer is supposed to be 2x^4 + 2x^-1 + 1I am not sure what steps I need to take to get there.Solve the initial...
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01/20/24
Consider the region bounded above by f(x) =x, below by the x-axis, on the left by x= 0,and on the right by x= 5. The region has been divided into five vertical strips.
Write the definite integral representing the exact area, and evaluate that integral
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