4) Find the point on the line y = 2x + 3 that is closest to the origin.

Q: The figure shows the region of integration for the integral. *** f(x, y, z) dy dz dx Rewrite this…

A: We have to rewrite the given integral.

Q: 9. Find the volume of the solid of revolution obtained by rotating the region in the xy-plane…

A:

Q: Find the largest value of that satisfies: log, (x²) - log(x + 1) = 9 x

A:

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: We need to evaluate the given integral : ∫5x-1311dx

Q: K Estimate the volume of material in a cylindrical shell with length 46 in., radius 9 in., and shell…

A:

Q: The general form of an antiderivative of the function f(x)=2 cos(x+π)�(�)=2 cos(�+�)  is   F(x)=

A: To determine the general form of an antiderivative of the following function. fx=2 cosx+π

Q: 22. A plane contains the points P₁ (2,2, 5), P₂ (1, −1,0) and P3 (-3, 1,22). Give the explicit…

A: In this question, we want to find the equation of the plane that passes through the given three…

Q: ∞ 3" Σ n=12" + n

A:

Q: of tion on the given interval by comparing values at the critical points and endpoints. 29. y = 2x²…

A:

Q: What is lim q(x)? 8+←X q(x) = ln x²7 9x

A:

Q: he probability that the weather will be sunny tomorrow is 0.73. What is the probabilitv that the…

A: We have given that        probability sunny tomorrow is = 0.73        then  find the probability not…

Q: Given the graph of the derivative (below) identify when the function (be careful, this is the…

A:

Q: Shown in the table is the velocity of a car at varying times. Use this data to sketch a smooth curve…

A: Given : Distance = velocity * time  V = d*t

Q: An object is traveling in a straight line. Shown in the diagram is the graph of its speed as a…

A: The given data is:   Estimate the total distance the object traveled between t=0 and t=6

Q: 1) y = 5 · 2* -6 -4 -2 Ay 20 18 16 144 121 10 8 하 # 라 2 4 6 x

A: Please see the below picture for detailed solution.

Q: Graph the system of inequalities. 2 4x + y 8x + 2y > 24 Choose the graph of the solution of the…

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A:

Q: Verify whether the function f (x) = −x² + 10x 16 satisfies the conditions of the Mean Value Theorem…

A:

Q: 3. Given two vectors x = [0, 1, 1] and y= [-3, 0, 0], they are orthogonal. use your knowledge of…

A: Given vectors:- x→=0,1,1 and y→=-3,0,0

Q: Let f(x, y, z)=xze +3(x+y)-xz³. Then the derivative off in the direction of v=7+j+2k at the point…

A:

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A:

Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(3, 8, -2). NOTE: Enter…

A: The directional derivative of the function f in the direction of u is: Duf=∇f·uu

Q: 21- 2 SOS (8 (√8-1²-√r² ) rdrdo

A:

Q: Time spent running (minutes) 0 15 30 45 60 75 Speed (mph) 11 9 7 5 5 0 Shown in the…

A:

Q: Use the definitions listed in Section 6.1.2 with f(x, y, z) = x² + yz, F(x, y, z) = (xy, yz, xz),…

A:

Q: Find the area of the shaded region. 2- L -24 y=x-2 + 2 3 4 square units y=√x X i

A: Topic = Area

Q: dixy) Solve the system u x-y, v= 3x+3y for x and y in terms of u and v. Then find the value of the…

A: Given that , u=x-y     ......1 and  v=3x+3y       .......2

Q: 5. An electric car is listed at $60,000 and depreciates by 47% per year. (a) Find its value after 4…

A: Given: An electric car is listed at $60000 and depreciates by 47% per year.

Q: → → Find the dot product between vectors a and b, given →→ →→ → d=3i-jandb=2i+j+4k

A:

Q: Shown in the table is a runner's speed at various times. Use this data to sketch a curve relating…

A: Given,

Q: Find an equation of the plane through (– 5, 2, — 6) that is perpendicular to the planes 4x − y + z =…

A:

Q: Find the volume formed by rotating the region enclosed by: y = 5√x and y = x about the line y = 25…

A: Given that  y = 5√x  y = x  about line y = 25

Q: 2

A:

Q: Hi i am confused on how this is the answer the solution was cut off

A: In this given solution, Integration is applied to eliminate differentiation.

Q: The cost c in terms of the quantities 9₁ and 92 produced of good 1 and good 2 is given by c = 200 +…

A: differential

Q: What is the equation of the verti asymptote of the following grap

A: here , we have graph of a function , then we have to find equation of vertical asymptotes :-

Q: Find the relative extreme points of the function, if they exist. Then sketch a graph of the…

A:

Q: For the demand function q = D(p) = 309 - p, find the following. a) The elasticity b) The elasticity…

A: We have to find the elasticity and the price that gives the maximum revenue.

Q: Use either the shell method or the disk/washer method to find the volume of the solid of revolution…

A:

Q: Find the point of intersection (xo. yo. Zo) of the lines given as: L₁ L₂: Xo = Yo = Zo = i x = 6+t,…

A:

Q: Evaluate the integral. (Use C for the constant of integration. Remember to use absolute values where…

A: The useful formula is: ∫1udu=lnu+C and ∫udu=u22+C

Q: Find an equation of the plane through (7, 0, -6) that is perpendicular to the line x − 2 = t, y+3 =…

A:

Q: The graph of f(x) is shown (see figure). 7x f(x)= (a) Find the following limits. L= lim f(x) = X→ 00…

A: Given: The given function is: fx=7xx2+9 The given graph is:

Q: Find the distance between the skew lines: x=6+6t, y=4+7t, x = 5-t, y = 8, NOTE: Enter the exact…

A:

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A: To find the maximum rate of change of f at the given point  and the direction in which it occurs.…

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

A:

Q: Transformation by trigonometric identities & integration by parts. Evaluate each of the following…

A:

Q: An equation of the plane passing through A(1, -2, 1), B(4, -2,-2) and C(4,1, 4) is: None of these…

A:

Q: Write and solve the differential equation that models the verbal statement. (Use k for the constant…

A:

Q: Find a basis for the eigenspace corresponding to the eigenvalue. A = 622 2 94,λ=5 -2 -4 1

A: Given matrix:- A=622294-2-41