A certain unit produced by the company can be sold for 200-0.02x pesos where x is the number of unit manufactured. What would be the corresponding price per unit inorder to have a max revenue? O P100 O P200 O P50 P150

Q: Compute the gradient of the following function, evaluate it at the given point P, and evaluate the…

A:

Q: At what point (x, y) is the function f(x) = 8x - 5 closest to the origin? Enter an exact answer.…

A:

Q: Consider two nonnegative numbers x and y where x + y = 15. What is the maximum value of 14xy? Enter…

A: Given query is to find the maximum value of the Indicated expression.

Q: (a) The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, 0) of the point,…

A: we need to find the polar coordinates

Q: S x² √16x² dx

A: The objective of the question is evaluate the indefinite integral.

Q: Find the slope passing through the two given points. 1.) (1,-3) and (0,1)

A:

Q: -Suppose you have a box centi C(a, b, a+b), having a length (along x-axis) of Za units, width (along…

A: a = 5, b=2 O is the origin, OX is the x-axis, OX = 2a units = 2*5 = 10 OY is the y-axis, OY = 4b…

Q: fix√x²+2x+5dx

A: To evaluate the following integral. ∫13xx2+2x+5 dx

Q: Find a power series representation for the function. 8 + Χ (1 − x)2 f(x) Σ( 1) η Determine the…

A: The given function is: f(x)=8+x(1-x)2

Q: Find the indefinite integral involving sine and cosine sin³ 20 √cos 20d0 Isin

A:

Q: Given f(x, y, z) = 4x²y + 2xz² − 3yz + 4, find the direction of maximal increase from (1,2,1) and…

A: Direction of maximum increase of f(x,y,z) is grad(f(x,y,z)) and max value of increase=…

Q: 4. A parabola has focus F( 11, 8) and directrix x= -17. Find its standard equation

A:

Q: lim 1→3 n 2 i=1 1 n1+ (2i/n)

A:

Q: If y = x4 + 2x, find the values of delta y and dy when x = 2 and dx = 1

A: Please see the below picture for detailed solution.

Q: A box with a volume of 8m³ is to be constructed with a gold-plated top, silver-plated bottom, and…

A: Given:         Assuming the box is a cube.         The volume of cube = side³           side3=8…

Q: Consider the following. 11 14 (4x - y) dA, where R is the region in the first quadrant enclosed by…

A:

Q: In problems use the building block x", x < 1, together with the result - I for adding power series…

A: Let's find power series of given function.

Q: z = sin(x² + y²), x = v cos(u), y = v sin(u), find az/au and az/av. The variables are restricted to…

A: we will find the required.

Q: [6 6x ln (x + 5) dx

A:

Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given vertices ( 0,0,0 ) ( 0,0,4 ) ( 3,0,0 ) ( 0,4,0 )

Q: Find the absolute maximum and minimum, either exiSIS, f(x)=2x³-30x² +54x+14 (A) [-2, 12] (B) [-2,9]…

A: Find critical points

Q: Use the Newton's method to find the positive root of equation x² -2=0 to three decimal points.

A: we need to find out the positive root of equation using Newton's method.

Q: Find the slope of the following lines.

A: see below the answer and calculation

Q: What is the x-coordinate of the point of intersection for the two equations shown below? ما الإحداثي…

A:

Q: Find the slope of the following lines.

A:

Q: What is the maturity value of a $52590 investment in 27 months if interest is 4.3% p.a. compounded…

A: Topic - Compound interest We are given: Present value=PV=$52590 Time =t=27 months Rate of interest…

Q: (x-9) State where the power series Σ=1 is centered n³

A:

Q: Determine whether the function's vertex is a maximum point or a minimum point and find the…

A: Given that: function is y=x-18x2

Q: 1. xe3xdx

A:

Q: Without evaluating integral, prove that 1 dx S 0 /2+x-x² 2 < 1 √2

A: Prove that , 23≤∫01dx2+x-x2≤12

Q: Determine whether the function's vertex is a maximum point or a minimum point. x² + x + 2y = 7 O The…

A:

Q: Find the slope of the following lines.

A:

Q: can you make a handwritten solution ?

A:

Q: The principal argument of the complex number −9+2j (rounded to the nearest degree) is equal to: 76°…

A:

Q: Find the domain of the function using interval notation. f(x) = -2x (x-2)(x-7) To enter oo, type…

A:

Q: Consider two nonnegative numbers x and y where x + y = 14. What is the maximum value of 5x²y? Enter…

A:

Q: Determine the sum of the following series. 71=1 (4)n-1 6n

A:

Q: At what point (x, y) is the function f(x) = 8x - 3 closest to the point (3, -6)? Enter an exact…

A: To determine the point x, y on the function fx=8x-3 is closest to the point 3, -6.

Q: 1. ) Obtain the differential equation of the family of plane curve described and sketch at least 5…

A: We know slope intercept form of line ⇒y=mx+c

Q: Find the value of the constant C' for which the integral converges. Evaluate the integral for this…

A: We have to evaluate the integral.

Q: Find the derivative of the function. g(x) = 4x² 1 tan(x) V7+ 4 dt

A:

Q: Evaluate the following limit using L'Hospital's rule. Provide your answer below: lim (cos(9x))(+2)…

A: d dx(lnx=1xd dx(cosx)=-sinxd dx(xn)=nxn-1sinxcosx=tanx

Q: Use linear approximation, i.e. the tangent line, to approximate 1.86 as follows: Let f(x) =X f(x) at…

A:

Q: Use the Alternating Series Test, if applicable, to determine the convergence or divergence of the…

A: NOTE: Refresh your page if you can't see any equations. . use the alternating series test

Q: 1 1 1 Calculate the gradient of h(x, y, z)=33 Vh = h (2xi) + 3yj + 3zk

A:

Q: Use the given transformation to evaluate the integral. JJ (₁₂ (12x+16) d4. where R is the…

A:

Q: S(2+ ex)²dx

A: ∫2+ex2dx

Q: f(b)-f(a) Find the value or values of c that satisfy the equation b-a f(x) = 3x³ - 3x², [-1,2] =…

A:

Q: COMPLETE STEPS AND SOLUTION [NO SHORTCUTS], SIMPLIFY IF POSSIBLE 3. Find the differential equation…

A:

Q: V₁² W V4 0 -21 V2 V3, and v4 are given below. -9 Then H and K are subspaces of R³ In fact, H and K…

A: we will find the required.