Write the equation of the square root function described. The function value, f(x), is an ordere...
Write the equation of the square root function described.
The function value, f(x), is an ordered pair,(x,f(x) , on a circle of radius 5 with its center at the origin of a coordinate system. (Hint: The equation for a circle of radius r and its center at (0,0) x^2+y^2=r^2)
and
what value of r is the known surface area of a sphere, given by the function S(r)=4πr^2, numerically equal to the known volume of the sphere given by the function V(r)=4/3πr^3?
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Write the equation of the square root function described. The function value, f(x), is an ordere...
Please answer the following questions with solution, thanks 4. Consider the function f(x) = 2x +...
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
A circle has the equation x² + y2 - x - 4y + 4 = 0....
A circle has the equation x² + y2 - x - 4y + 4 = 0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (Type an ordered pair, using integers or fractions.) The radius of the circle is (Type an integer or a fraction.) (b) Use the graphing tool to graph the circle. Click to enlarge graph...
2. Let f be C2 on R3 and satisfy Laplace's equation ▽2f-0. Such functions are called harmonic. (a...
1. Let g : R30,0,0)-R be given by g(x, y, z) 2. 3 (a) Compute Vg(x, y, z) (b) Show that V2g V (Vg) for all (x, y, 2) (c) Verify by direct calculation that (0,0,0) for any sphere S centered at the origin. d) Why do (b) and (c) not contradict the divergence theorem? 2. Let f be C2 on R3 and satisfy Laplace's equation ▽2f-0. Such functions are called harmonic. (a) Applying Green's formulas to f and g...
true or false is zero. F 9. The plane tangent to the surface za the point (0,0, 3) is given by the equation 2x - 12y -z+3-0. 10. If f is a differentiable function and zf(x -y), then z +. T 11. If...
true or false
is zero. F 9. The plane tangent to the surface za the point (0,0, 3) is given by the equation 2x - 12y -z+3-0. 10. If f is a differentiable function and zf(x -y), then z +. T 11. If a unit vector u makes the angle of π/4 with the gradient ▽f(P), the directional derivative Duf(P) is equal to |Vf(P)I/2. F 12. There is a point on the hyperboloid 2 -y is parallel to the plane...
Write a Matlab function for: 1. Root Finding: Calculate the root of the equation f(x)=x^3 −5x^2...
Write a Matlab function for: 1. Root Finding: Calculate the root of the equation f(x)=x^3 −5x^2 +3x−7 Calculate the accuracy of the solution to 1 × 10−10. Find the number of iterations required to achieve this accuracy. Compute the root of the equation with the bisection method. Your program should output the following lines: • Bisection Method: Method converged to root X after Y iterations with a relative error of Z.
3. Determine whether the given value is a root of the function. f(x) = x +...
3. Determine whether the given value is a root of the function. f(x) = x + 2x2 - 4x - 3; x=-2
10. (calculations with independent Gaussians) The joint pdf of two random variables is given by fxy(x,y)...
10. (calculations with independent Gaussians) The joint pdf of two random variables is given by fxy(x,y) = [2끼-iexp[-2(z2 + y2)] for-x 〈 x, y 〈 oo. Compute the probability that both X and Y are restricted to (a) the 2 x 2 square, where 1 < r,y 3 1; and (b) the unit circle, which has its center at the origin (0,0) with a radius of 1
(1 point) Find the function f(x) described by the given initial value problem. f"(x) = 6...
(1 point) Find the function f(x) described by the given initial value problem. f"(x) = 6 sin r, f'(T) = -3, f(T) = 3 f(2)=
Give the center and radius of the circle described by the equation and graph the equation....
Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the relation's domain and range 12- 10- 2+y2=25 8 Use the graphing tool to graph the equation. Click to enlarge graph 2- 40 12 468 12-10 -8 What is the domain? 4 The domain is 6 (Type your answer in interval notation.) What is the range? 10 -12 The range is (Type your answer in interval notation.) Give the...
A probability function is defined by f(x)=(1/(square root 6pi))e^(-x^2)/2. Give the intervals where the function is...
A probability function is defined by f(x)=(1/(square root 6pi))e^(-x^2)/2. Give the intervals where the function is increasing and decreasing.
Please answer the following questions with solution, thanks
4. Consider the function f(x) = 2x + 1, a) Find the ordered pair (4. f(4) on the function. b) Find the ordered pair on the inverse relation that corresponds to the ordered pair from part a). c) Find the domain and range of f. d) Find the domain and the range of the inverse relation off. e) Is the inverse relation a function? Explain. 5. Repeat question 4 for the function...
A circle has the equation x² + y2 - x - 4y + 4 = 0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (Type an ordered pair, using integers or fractions.) The radius of the circle is (Type an integer or a fraction.) (b) Use the graphing tool to graph the circle. Click to enlarge graph...
1. Let g : R30,0,0)-R be given by g(x, y, z) 2. 3 (a) Compute Vg(x, y, z) (b) Show that V2g V (Vg) for all (x, y, 2) (c) Verify by direct calculation that (0,0,0) for any sphere S centered at the origin. d) Why do (b) and (c) not contradict the divergence theorem? 2. Let f be C2 on R3 and satisfy Laplace's equation ▽2f-0. Such functions are called harmonic. (a) Applying Green's formulas to f and g...
true or false
is zero. F 9. The plane tangent to the surface za the point (0,0, 3) is given by the equation 2x - 12y -z+3-0. 10. If f is a differentiable function and zf(x -y), then z +. T 11. If a unit vector u makes the angle of π/4 with the gradient ▽f(P), the directional derivative Duf(P) is equal to |Vf(P)I/2. F 12. There is a point on the hyperboloid 2 -y is parallel to the plane...
3. Determine whether the given value is a root of the function. f(x) = x + 2x2 - 4x - 3; x=-2
10. (calculations with independent Gaussians) The joint pdf of two random variables is given by fxy(x,y) = [2끼-iexp[-2(z2 + y2)] for-x 〈 x, y 〈 oo. Compute the probability that both X and Y are restricted to (a) the 2 x 2 square, where 1 < r,y 3 1; and (b) the unit circle, which has its center at the origin (0,0) with a radius of 1
(1 point) Find the function f(x) described by the given initial value problem. f"(x) = 6 sin r, f'(T) = -3, f(T) = 3 f(2)=
Give the center and radius of the circle described by the equation and graph the equation. Use the graph to identify the relation's domain and range 12- 10- 2+y2=25 8 Use the graphing tool to graph the equation. Click to enlarge graph 2- 40 12 468 12-10 -8 What is the domain? 4 The domain is 6 (Type your answer in interval notation.) What is the range? 10 -12 The range is (Type your answer in interval notation.) Give the...
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