Find the curl of the vector field F = (3y cos(x), 4x sin(y)) curl F = <0, 0, 4 sin (y) - 3 cos (x) > syntax error: you gave an inequality, not an expression. syntax error. Calculator Check Answer

Q: sinx 5. Find the equation of the tangent to y = e at the point (0, 1).

A: y=esinx, (0,1)

Q: Write the equation of the line that represents the linear approximation to the following function at…

A:

Q: Find an equation of the tangent line at each given point on the cu x = 2²2²-4₁ y = t²2 - 2t at (0,…

A: Find an equation of the tangent line at each given point on the curve.  x=t2-4 , y= t2-2t  at (0,0)…

Q: This question must be completed. Please make sure you complete all parts and then sketch the graph…

A: fx=lnx-2

Q: Find the maximum for the profit function, P = 7x + 4y traints

A: Find the corner points of the feasible region. The corner points are A30029,24029, B(6,30),…

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: 39. a₂ = 7; a4 = 1575 a2

A:

Q: 31. 8th term is 8; 20th term is 44

A: 31. 8th term is 8; 20th term is 44.

Q: The rectangular coordinates of a point are given. Plot the point. (Select the correct graph.) (-12,…

A: This can be plot as below :

Q: The car's position during a certain time interval is defined as s=4t + 1.8t² -0.06t³. Determine the…

A:

Q: 14. f(x) = sin³ 3x² cos59x³

A: f(x)=sin³3x²cos⁵9x³

Q: Solve the logarithmic equation for x. (Enter your answers as a comma-separated list.) log₂ (x + 3) =…

A: Solve the logarithmic equation for x  log2(x+3)-log2(x-3)=3

Q: 6. For the system of equations below: 3x - 7y = 11 4x + 2y = 3 a. Find the Determinant of the…

A:

Q: Let the following function has a root in [0,3], f(x) = x² + 2x - 4 = 0 Compute 2 steps of Bisection…

A: f(x)=x2+2x-4 and the root of the equation lies between 0 and 3.

Q: The size of an exponentially growing bacteria colony doubles in 9 hours. How long will it take for…

A:

Q: Find the equation of the tangent line to the curve f(x) = x² - 4x + 1 which is perpendicular to the…

A: SOLUTION:-   Given equation of curve, f(x)=x2-4x+1We need to find the equation of tangent line to…

Q: Question 6. Use this theorem to construct a polynomial with integer coefficients of degree 6 which…

A: The polynomial of degree 6 with integer coefficients is given by y=(x-a)p*(x-b)q*(x-c)rwhere, a,b,…

Q: Find all the possible rational zeros of the following polynomial: f(x) = 3x³ - 20x² +33x-9 O +1, +3,…

A:

Q: A company manufactures 2 models of MP3 players. Let x represent the number (in millions) of the…

A: R(x,y)=140x+110y-4x2-3y2-xy

Q: Give a vector parametric equation for the line through the point (2, -1, 0) that is parallel to the…

A:

Q: Find the tangential and normal components of acceleration for F(t) = (5 cos(t), 7t², 5 sin(t)).…

A:

Q: If Nia administers Advil at 65 ml/h to a patient, and the drop factor is 18 gtt/ml, calculate the…

A: Volume =65 ml/h or 1.1 ml/min Drop factor=18 gtt/ml flow rate=?

Q: Use the Laplace transform to solve the given initial value problem. yl-3y1+2y=e-4t; y(0) = 1, y/(0)…

A: eat↔LT1s-aGiveny'' - 3y' + 2y = e-4t ; y0 = 1 , y10 = 5

Q: For the following polynomial function f(x)= x³-3, find the upper bound within which all of the real…

A:

Q: x)G(x) and Q(x) = F(x)/G(x), where F and

A: here f(3) = 4;     f(8) = 5; write the equation of function f(x) from point(3,4) to (8,5).  y = mx…

Q: Find a vector function that represents the curve of intersection of the paraboloid z = 6x² + 5y² and…

A: Find  a vector function that represents the curve of intersection of the paraboloid z= 6x2+5y2 and…

Q: A water well is 120 ft deep. A 120 ft cable weighing 30 lbs hangs down from the top of the well.…

A: SOLUTION:-   Given, A water well is 120 ft deep and a 120 ft cable weighing 30 lbs hangs down from…

Q: v(t) = 3t − 7,    0 ≤ t ≤ 4 Find the distance traveled by the particle during the given time…

A:

Q: Find the volume of the solid of revolution generated by rotating the region under the graph of 1 y =…

A: Volume about any line.

Q: x²+1 Which of the following is the correct expression of integral (x²+3)(x+2) of partial fractions?…

A:

Q: If the total revenue function for a computer is  R(x) = 2600x − 11x2 − x3,  find the level of…

A: Given: The total revenue function for computer is:R(x)=2600x-11x2-x3 We are required to find: The…

Q: Find f'exo if fex)= Find f'ex) if fcx)= (5x² + 1) cos(2x) 100 sec² (2x + 5) (x + 2)¹ 3

A: fx=5x2+1cos2x3sec22x+5x+2100

Q: For the function, find the second-order partials fxx, fxy, fyx, and fyy. f(x, y) = yex - x In(y) (a)…

A: For the given function, to find the second-order partials fxx, fxy, fyx, and fyy. fx, y=yex-x lny

Q: The car's position is defined as s=4t +1.8t² -0.06t³. Determine the car's velocity when t = 5secs.…

A:

Q: The function f is one-to-one. Find its inverse. 5-4x f(x) = 9x+S -9x + 4 O f'(x) = -8x+5 O f'(x) =…

A:

Q: The graph of f(t) is shown below.

A:

Q: 4. If f is a differentiable linear approximation A. 5.5 B. 5.7 C. 5.9 D. 6.3 E. 6.5 function with…

A: f(4,1)=6, fx(4,1)=-2, fy(4,1)=1

Q: way that their intersection is a circle of radius r. and r so that the volume inside the small…

A: Subtract the volume of the cap of the bigger sphere from the volume of the small sphere's hemisphere…

Q: Determine the volume of the solid obtained by rotating the region bounded by y = √√√x, y = 3 and the…

A: y=√x ,y=3 About y axis

Q: X N Ả xây ây ty xác - 2 Surface indegral ? (SSRIS)

A: Given that,    A → = x  ax ∧ -    ay∧ + yz  az∧ and a semi-sphere with the origin center and the…

Q: Find the total surface area and volume of a cylinder with a 120" "wedge" missing. Answers in exact…

A:

Q: Please solve and show all work. Consider the function f(x) = 2x³-12x² - 72x + 7 on the interval [-4,…

A: F(x) = 2x33-12x2-72x+7 X€[-4,7]

Q: derivative its actually only cos^12 on the last idk why

A:

Q: . The critical point of f(x, y) = 4x² +9y² + 8x − 36y: A. Occurs at (-1,2) and is a local minimum B.…

A:

Q: Find all the zeros of the function h(x) = 4x³ + 23x² + 34x-10 +i,- O3+1,-3-i O-1-3+1-3-1…

A:

Q: find the area of the region bounded by the curve y=x^2-1 and the line y=35

A: The area of the region bounded by y = x2 - 1 and the line y = 35 First find the intersection points…

Q: hort Answer 1. Identify the coordinates y=2e1-2x-1. State of any local maximum or minimum values of…

A: Let c be the critical point of a function f. If f"(c)&gt;0 then f has a local minimum at x=c If…

Q: This exercise uses Newton's Law of Cooling. A hot bowl of soup is served at a dinner party. It…

A:

Q: F(s) = 29-s 2 s+10s +21

A:

Q: 1. The quadrilateral ABCD is shown to the right. Suppose u = DC and = AD. Further suppose that BC =…

A: Given: Quadrilateral ABCD in which u→=DC→, v→=AD→ and 3v→=BC→ We are required to find: a.…