647 Answered Questions for the topic calc

04/29/21

The estimated value of the integral from 0 to 2 of x squared dx , using the trapezoidal rule with 4 trapezoids is
The estimated value of  , using the trapezoidal rule with 4 trapezoids is a) 2.75 b)5.50c)1.88d)3.75my answer is a
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04/29/21

Calculus Please help!
Which definite integral approximation formula is A)Circumscribed rectanglesB)Inscribed rectanglesC)Mid-point ruleD)Trapezoidal ruleMy answer is D
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04/29/21

Show that f(x) = x^2 and g(x) = 1000x^2 grow at the same rate.
Show that f(x) = x2 and g(x) = 1000x2 grow at the same rate.
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04/26/21

What is the vector of field F?
SPECIFY THE COMPONENT function of a vector field F in R2 with the following property.F is everywhere normal to the line x=4What are the possible vector field F?1)f=(0,y)2)f=(x,0)3)f=(x,y)4)f=(-y,x)
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04/24/21

Use a graphing utility to perform the operations for the matrices A, B, and C, and the scalar c.
A = -3 -2 3 0 2 -1 1 4 -2B= 1 -1 0 2 4 3 -2 1 0C = 3 -2 3 -4 0 -2 -1 1 3 c = 2(a) c(AB)_____ _____ __________ _____ __________ _____ _____(b) (cA)B_____ _____... more
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04/23/21

Find the range of the function f of x equals the integral from negative 4 to x of the square root of the quantity 16 minus t squared
 Find the range of the function  .A)[-4,4]B)[-4,0]C)[0,4pi]D)[0,8pi]My answer is C
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04/23/21

Pumping stations deliver gasoline
Pumping stations deliver gasoline at the rate modeled by the function D, given by  with t measure in hours and and R(t) measured in gallons per hour. How much oil will the pumping stations deliver... more
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04/23/21

Solve for X using the matrices below.
2A + 4B = −2XA = 8 -5 and B = 0 7 1 0 2 0 9 -2 -2 -1X = _____ _____ _____ _____ _____ _____
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04/23/21

Find x and y from the matrix.
x+2 3 -7 2x+6 3 -7 5 2y 2x = 5 8 -85 7 y+2 5 7 6x = ____y = ____
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04/22/21

The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12.
The table of values below shows the rate of water consumption in gallons per hour at selected time intervals from t = 0 to t = 12.Using a right Riemann sum with 5 subintervals estimate the total... more
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04/22/21

Which of the following functions grows the fastest as x goes to infinity
a)2xb)ln(x)c)sin(x)d)x20my answer is d
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04/22/21

What is the Jacobian?
a Compute the Jacobian. b Change variables and evaluate the new integral.
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04/21/21

The graph of f ′(x) is continuous and increasing with an x-intercept at x = 0. Which of the following statements is false?
a)The graph of f is always concave up.b)The graph of f has an inflection point at x = 0.c)The graph of f has a relative minimum at x = 0.d)The graph of the second derivative is always positive.
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04/21/21

Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for the integral from 0 to 4 of x squared, dx
Using 4 equal-width intervals, show that the trapezoidal rule is the average of the upper and lower sum estimates for 
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04/20/21

Given f(x) > 0 with f ′(x) < 0, and f ″(x) > 0
Given f(x) > 0 with f ′(x) < 0, and f ″(x) > 0 for all x in the interval [0, 2] with f(0) = 1 and f(2) = 0.2, the left, right, trapezoidal, and midpoint rule approximations were used to... more
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04/20/21

The rate of decay in the mass
The rate of decay in the mass, M, of a radioactive substance is given by the differential equation  , where k is a positive constant. If the initial mass was 100g, then find the expression for the... more
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04/20/21

The slope of the tangent to a curve at any point (x, y) on the curve is negative 1 times x divided by y . Find the equation of the curve if the point (2, -2) is on the curve.
A)x + y = 0B)x2 - y2 = -2C)x2 + y2 = 16D)x2 + y2 = 8I believe the answer is D
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04/19/21

The temperature of a cup of coffee varies according to Newton's Law of Cooling
The temperature of a cup of coffee varies according to Newton's Law of Cooling: , where T is the temperature of the coffee, A is the room temperature, and k is a positive constant. If the coffee... more
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04/19/21

Which of the following differential equations is consistent with the following slope field?
 a) dy/dx = x/(y^2)b)dy/dx = x/yc)dy/dx=x^2/yd)dy/dx=x^2/y^2
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04/19/21

The slope of the tangent to a curve at any point (x, y) on the curve is x divided by y . Find the equation of the curve if the point (2, -3) is on the curve.
A) x2 + y2 = 13 B) x2 + y2 = 25 C) x2 - y2 = -5 D) x2 - y2 = 5
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04/19/21

The Rate of Decay
 The rate of decay in the mass, M, of a radioactive substance is given by the differential equation  , where k is a positive constant. If the initial mass was 200g, then find the expression for the... more
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04/19/21

Find the particular solution to y ' = sin(x) given the general solution is y = C - cos(x) and the initial condition y of pi over 2 equals 1
a) -cos(x) b) 2 - cos(x) c) -1 - cos(x) d) 1 - cos(x)
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Calc Calculus

04/17/21

What is the particular solution to the differential equation dy/dx =3 cos(x)y with the initial condition y(pi/2)=-2?
I need a full solutionWhat is the particular solution to the differential equation dy/dx =3 cos(x)y with the initial condition y(pi/2)=-2?What is the particular solution to the differential... more
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04/17/21

Use matrices and Gauss-Jordan elimination to solve systems of linear equations
The matrix 1 0 4 0 0 1 −6 −1 0 0 −5 5 can be reduced in the row echelon form 1 0 0 a 0 1 0 b 0 0 1 c where a, b, and c are real numbers. Find a. (Enter an exact number.)a = ____
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Calc Calculus

04/15/21

Show calculus steps for all problems and underline answers for all
1) The quantity of a substance can be modeled by the function k(t) that satisfies the differential equation dk/ dt =-1/90 (k-450). One point on this function is k(2) = 900. Based on this model,... more
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