(e) Determine the intervals over which the function F(x) = fedt is concave up and oncave down.

Q: A nonhomogeneous equation and a particular solution are given. Find a general solution for the…

A:

Q: (-2, 57/6) Find Polat cok dinates two other pairs of cok dinares, one $70, one kco

A:

Q: dx Assume that x = x(t) and y = y(t). Let y=x²+1 and 3 when x = 1. dt Find dt dy dt when x = 1.…

A: We have given y=x2+1 and dxdt=3 when x=1

Q: 12:33 r = 7 hing fins Tine X Slope of tangent z

A: Slope of tangent line is find by differentiate the function.

Q: what is the domain of f(x,y,z)=ln(z-y)+xysinz

A: what is the domain of f(x,y,z)=ln(z-y)+xysinz

Q: Assume that a cylinder has a fixed volume of 125 m³ with an open top. Find the radius and height of…

A:

Q: Determine using implicit differentiation. dy dx 4x³ +2y³ = 3y 2x³y² + 5y³ = 4x-1 2x 3x + y =y Note:…

A: 1st...4x3+2y5=3y2nd....2x3y2+5y3=4x-13rd....2x3x+y=y

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A:

Q: Find Vw. w = 6 ln √10x² + y² +82² NOTE: Give your answer in unit vector notation; that is, in terms…

A:

Q: Locate all the critical points of f(x) = (x+3)4(4 – x)³. 1. x = -4, -3, 1 2. x = 4, 3, 1 3. x = -4,…

A:

Q: Which of the following is true of 18 Select the correct answer below: 13 1 O The integral converges…

A:

Q: 9,2 (2, 77/4) A Find two other parts of Polar Cordinate one 70, one 20

A: take negative angle

Q: The integral in this exercise converges. Evaluate the integral without using a table. S -0 6x dx…

A:

Q: 2. Find positive values a, b and c such that the plane x/a + y/b + z/c = 1 passes through the…

A: The equation of the plane is xa+yb+zc=1. The objective is to find the positive values a, b and c…

Q: Find all local maximum and minimum values of the function whose graph is shown. local maximum at x =…

A:

Q: Write the sum (85 + 8) + (86 + 8) + (87 + 8) + (88 + 8) in summation notation in terms of k. (Use…

A: We have to write (85+8) + (86+8) + (87+8) + (88+8) in summation notation in term of k  we use sigma…

Q: Minimizing Packaging Costs What are the dimensions of a closed rectangular box that has a square…

A: The capacity of box=127 in3Dimensions are Length =x inch ,width = inch ,height =y inch

Q: The area of a trapezoid is given by A = (a + b) where h is the height and a and b are the lengths of…

A: (a). Given: The area of a trapezoid is given by A=h2(a+b) where his the height and a and b are the…

Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A: equation of tangent plane for a function f( x , y ) at point ( a , b , c )( x - a )∂f∂x + ( y - b…

Q: The integral in this exercise converges. Evaluate the integral without using a table. S- 9 11 V-V dv

A: Integration

Q: Evaluate the double integral of f(x, y) = over the region 1+z D = {(x, y) | 0≤x≤ 3,-x≤ y ≤ √√} shown…

A: given function is :-f(x,y)= y1+xand region   D=(x,y) |0≤x≤3 ,  -x≤y≤xthen we have to evaluate the…

Q: The integral in this exercise converges. Evaluate the integral without using a table. 8 s dx 2 2 x…

A:

Q: The integral in this exercise converges. Evaluate the integral without using a table 15 S 15dx 2 -00…

A: I=∫-∞1515x2+225dx

Q: Find the gradient of ƒ at the indicated point. f(x, y) = 4sin x² + cos 4y; 3 NOTE: Give your answer…

A:

Q: x ck Examples 3 and and o.j 26. y 1 X

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 27, 28, 29, and 30 Compare the values of Ay and dy if a changes from 1 to 1.05. What if a changes…

A:

Q: Find the point on the line y = -8x-3 closest to the point (-1,2). The function giving the distance…

A:

Q: This is incorrect

A: Please see the below picture for detailed solution.

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an…

A: On doing differentiation of the given function and will put equal to zero we will find the critical…

Q: If f(x) is reflected about the y-axis then is shifted 5 units to the right, then the resulting…

A:

Q: 3 Find ³6xln xdx. Then select the correct choice. Select the correct answer below: O The integral…

A:

Q: Evaluate 10 3 (x-9)6 dx. Select the correct answer below: 6 5 O The integral converges to O The…

A:

Q: Find a unit normal vector to the surface at the given point. [Hint: Normalize the gradient vector…

A: To find a unit normal vector to the surface at the given point. Surface: z=x2+y2 Point: 12, 16, 20

Q: The half-life of cobalt 60 is 5 years. -kt (a) Obtain an exponential decay model for cobalt 60 in…

A:

Q: Evaluate the function as indicated. (Round your answer to two decimal places.) f(x, y) In(xy) x² +…

A:

Q: Find the absolute maximum and minimum values of the function, if they exist, over the indicated…

A:

Q: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [ R(x) → 0.] - f(x) =…

A:

Q: Find the directional derivative of f(x, y, z) = in the direction from P to Q(2, 4, -1). NOTE: Enter…

A: We have to find the directional derivative of f (x, y, z) = (2y) / (x+z) at P( 5,2,-4) in the…

Q: Optimal Speed of a Truck A truck gets 700/x miles per gallon (mpg) when driven at a constant speed…

A: Let profit function = P( x ) where x = constant speed in mph

Q: Graph the equation: S(x)=3^x-2

A:

Q: Given that Vf(2, -13) = 2i- j, find the directional derivative of the function f at the point (2,…

A:

Q: 35

A:

Q: (a) Evaluate the definite integral, suitable Riemann sum. (3x² - 4x + 1) dr by calculating it as a…

A: Please see the below pictures for detailed solution.

Q: The area of an ellipse is given by A = πa-b. Suppose the lengths a and b are changing with time. (a)…

A:

Q: If F(x) = ret -4 sint dt, then F'(x) = Inx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: ← For a certain product, cost C and revenue R are given as follows, where x is the number of units…

A:

Q: y=0 www 17

A:

Q: B. Let f(x) be an odd, differentiable function. This means that f(x)= -f(-x) We know that f'(x)= O…

A: Let f(x) be an odd, differentiable function this means that f(−x)=-f(x)

Q: The sum of two non-negative numbers X and Y is 24. Determine the values of X and Y that minimize the…

A:

Q: Ife is the angle between a line through the origin and the positive x-axis then the area (cm²) of…

A: Given thatdθdt=510, A=9164θ-sin(4θ)We have to find the value dAdt at θ=π12