4) (1, 150°) 120° 150° 180° 210⁰ 240 90° 270⁰ 60° 2 3 300⁰ 30° 4 330⁰ Ꭴ

Q: S= 4 dx 2 3 X³_4x² +8x 니

A: We need to evaluate integral.

Q: 4. Consider the line D: "2¹ = = = ²/² = = z2 and the plane P: 2x + 2y — z = −3. a) Find the points…

A:

Q: Evaluate the following integral. dx 484-x² What substitution will be the most helpful for evaluating…

A:

Q: Solve the following equations: (D³ + 3D² + 3D + 2)y = 0

A: We can solve this as follows:

Q: = A region bounded by f(x) X- 1/₁, y = 0, y = 2, and x = 0 is shown below. Find the volume of the…

A:

Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

A:

Q: cos\theta =(1)/(3)and \theta  is in quadrant IV, then cos(\theta )/(2)

A:

Q: nd the area bounded by the given curves, axes and/or line 1. у? + х — 4у %3D5;B у-аxis 2. у %3D 3х —…

A: Here I am providing my handwritten solution

Q: I > | − 4 • xª + 5ª

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: af af Find and for the following function. Əx ду f(x,y) = x² - 2xy +9y² af ?x II

A: This question is related to partial differentiation, We will solve it using given information.

Q: 2x+1 if x 2 Determine the one-sided limit lim f(x). x-2- 2

A: The given function is:

Q: Question 4 If $10,000 is invested in a savings account offering 5% per year, compounded…

A:

Q: Opposite of a vector and subtraction. Click CONSTRUCT and draw in a new vector that shows CD - AB. D

A: HERE  red show resultunt  and substraction is given so we take AB to the opposite diection of given

Q: Find the interval(s) where f(x) = 2x° – 15x? + 36x – 27 is increasing. -

A:

Q: б хрх ] Ґ

A:

Q: After its fastest rate of growth ever during the 1980s and 1990s, the rate of growth of world…

A: We should recognise the t and do the appropriate calculations.

Q: Evaluate the definite integral. 3 12√/5y + 1 dy 12√/5y + 1 dy = (Simplify your answer.)

A: Here is the solution:

Q: Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A:

Q: The function f(x) = x² - 16 The function f(x) = lxle f''(x)f"(x) changes sign at c=0c=0 f''(x)f"(x)…

A:

Q: Use the line sketch tool to draw the horizontal and T vertical components of this vector. Write this…

A: Sketch of given vector,

Q: Solve the following problems showing detailed solutions. Draw the complete figures for each…

A:

Q: If y=u³ and u = 4x² - 2x + 5, give dy dx

A:

Q: A man walks across a bridge at a rate of 4 fps as a boat passes directly beneath him at 8 fps. If…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Determine the center of mass for the region bounded by the following. Answer as a fraction…

A:

Q: Solve the following triangle using either the Law of Sines or the Law of Cosines. a = 6, b=9, c = 10

A:

Q: Solve the system of differential equations. X1' = 3x₁1 - 1x2 X2': = 1x₁ + 5x2 - 11, x₂(0) = 7 x₁ (0)…

A:

Q: Show that the following series diverges. Which condition of the Alternating Series Test is not…

A:

Q: 5. Let f(x) = 5x4 -+ 8Vx - 3. x2 (a) Find f'(x). (b) Find an equation for the tangent line to the…

A:

Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: Given that the region is bounded by y=2x2 and y=x3 about the x-axis.

Q: An electric elevator with a motor at the top has a multistrand cable weighing 7 lb/ft. When the car…

A:

Q: 26 The sum of two numbers is 40. Find the product of the numbers if their product is to be the…

A: As per the guidelines I am supposed to do the first question among multiple questions. To get the…

Q: Use the shape of the graph to name the function. Standard cubic function Constant function Identity…

A:

Q: Fint the volume generated by revolving the area bounded by y= x^2 + 1, x=0, x=2 about y=0

A: Here we have to find the volume generated by revolving the area about x axis .

Q: 2 and x = 6. 4. Find the area bounded by the parabola y² = 4x and the line y = 2x - 4. ² and Find…

A: To find the area of region enclosed by given curves.

Q: Use the geometric series f(x) = convergence of the new series. f(x) 8 1-x 1 Σx, for x<1, to find the…

A:

Q: 1. A man is standing on a horizontal ground 30 ft away from a hot air balloon. After a moment, the…

A:

Q: A cable hangs between two poles of equal height and 24 feet apart. Set up a coordinate system where…

A:

Q: Find the differential dy of the given function. y = √√√√9-x²

A: Given y=9-x2 we need to find dy

Q: 6 4 for f(x, y) 3 3x у - 4x'у". 5 3 Verify that дх ду ду дх df 4 5 18y x - 20y°x of 5 3 4. 2 18x°y -…

A:

Q: Notice that vector v shows a direct path from the initial 6. point (0,0) to the terminal point…

A: See this solution in below

Q: Evaluate cos(x) - 1| dx.

A:

Q: y 5 2y 30 Find the length of the curve x = 5 The length of the curve x = - on 3 ≤ y ≤5 is 30 2y…

A:

Q: Graph the damped vibration curve for 0 ≤t≤. -t/ (5) d(t) = e cos (2t) Choose the correct graph of…

A:

Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: 2X Cos(スx) dydk 12

A:

Q: Find fx, fy, f₂. fx = f(x,y,z)=x-√√√²+z² (Type an exact answer, using radicals as needed.)

A: topic- partial differentiation

Q: 5. Find the area of the region enclosed by the parabolas y = x² and y = 2x -x². 2 3 sorun oyng…

A:

Q: € 4. If y=u² and u = x³ + 4 determine dx

A:

Q: Given the polynomial function: h(x)= 3x³-7x²-22x+8 a) List all possible rational zeroes of h(x). b)…

A: According to the Rational Zero Theorem, the list of all possible rational zeroes of a polynomial is…

Q: Use the shell method to find the volume generated by revolving the shaded region about the y-axis.…

A: