Write the equation in spherical coordinates. (a) 5226x2 + 6y2 (b) x² + 5z² = 2 × ×

Q: Evaluate the integral. (Use C for the constant of integration.) COS dx

A: To evaluate the following integral.

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: (a)f(6)=4(b)limx→2​f(x)= Do Not Exist.(c)limx→6​f(x)=2(d)limx→2−​f(x)=1Explanation:Step 1:Step 2:…

Q: Answer the following questions about the graph of g based on the information related to g′ and g′′.…

A: Given graph of g

Q: Evaluate the following surface integrals [ F. ds. (a) F(x, y, z) = (x, y, z) and S is the part of…

A: The solution is given below please refer to the solution  and if you have any doubt with regards to…

Q: If 0=28°, find the distance between two cities, A and B, to the nearest mile. The radius of the…

A: The objective of this question is to find the distance between two cities, A and B, given the angle…

Q: 2x-3 Draw a graph of f(x): == +1 by first placing the horizontal and vertical asymptotes, then…

A: The given function

Q: Find the directional derivative of f at the given point in the direction indicated by the angle 0.…

A: The required answer is 24Explanation:Step 1: Step 2: Step 3: Step 4:

Q: In this question you will find a general formula for the following: fx" (In(x))² dx where n is an…

A: The given integral is

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: +0+x (4) lim xx

A:

Q: x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square…

A: (a)A=x2+x2000​(b)10 meters(c)At the point x=10 , "A" is locally minimum.Explanation:Step 1:Step 2:…

Q: Find dy x = p² y = 7-8t Select one: a. dy dx O b. dy ○ c. ။ *| dx dy dx O d. dy dx 16 81 18 I dy…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Given that A(-1,1,1)B(2,0,3)C(3,3,-4) are 3 vertex of a triangle then Side AB…

Q: What is the rate of depreciation (in dollars per year) after 5 years? The salvage value S (in…

A: To find the rate of depreciation after 5 years, we need to calculate the difference between the…

Q: Sketch a graph of x = = 2t+ 3, y = t + 3. S 3 1 2 3 4 5 -1 -5-4-3-2-1 2 1 -2 -3 45 -4 Clear All…

A: The graph is provided below. The blue line is for y = t + 3 and the red line is for x = 2t + 3 Just…

Q: A. Compute the gradient of f. vf= i+ Note: Your answers should be expressions of x and y; e.g.…

A:

Q: Consider the following. y= x²+27 54 y y=x³+27 x 3 (a) Write the integral that describes the area of…

A: (a)∫−30​(x3+27)dx(b)  4243​ square units Explanation:Step 1: Step 2:

Q: #10 For the surface x³-2xz+y4+1=xy do: (a) Find the tangent plane at point (1,1,1),, Find…

A: (a) Equation of tangent plane at point (1,1,1) is: y=1(b) Equation of normal line at the point…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: a. 40b. 0c.5​1​Explanation:a. We can evaluate the limit by direct substitution. This means we will…

Q: At time t, the position of a body moving along the s-axis is s=13-2112 +144t m. Find the body's…

A:

Q: find y as a function of x if y'" + 81y' - = 0 where y(0) = 1, y'(0) = 81, y"(0) = 324

A:

Q: Suppose z x2 sin y, x = 3s² + 312, y = 2st. =

A:

Q: Match the graph of each function in A through D with the graph of its contour map in 1 through 4…

A: Close together contours indicate a steep slope, wall or cliff..

Q: In this problem, you will follow the parts below to solve an inequality involving h(x) = x² - 45.…

A: a).   x = -3 ( Smaller value)        x = 3  ( larger value ) b).     x = 15 c).    Shown on the…

Q: Find the equation of the tangent plane to the surface x = 6x3 y3+7xy at the point (1,0, 6). z=…

A:

Q: Use the Chain Rule to find dz/dt. dz dt z = x² + y² + xy, x = sint, y = 9et ×

A: Closed form:dtdz​=sin(2t)+162e2t+et(sint+cost)Without…

Q: Find all critical numbers and use the Second Derivative Test to determine all local extrema.…

A:

Q: A. Find the equation of the line that passes through the points A(1,-1,1), B(1,2,0).

A:

Q: Find the derivative of y = cos A with respect to x. The derivative of y = cos ( 0- with respect to x…

A:

Q: Find the point P on the graph of the function y The x coordinate of P is: Submit answer √ closest to…

A:

Q: Round to one decimal place as​ needed.

A: The objective of this question is to find out the time required for an investment to double if it is…

Q: dy Find • for the function y =23x dx

A: The objective of the question is to find the derivative of the function y = 23x with respect to x.…

Q: A spherical balloon is inflating with helium at a rate of 80x ft³/min. How fast is the balloon's…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Refer to explanationExplanation:To minimize the amount of material used for the cylindrical pop can,…

Q: Use the arc length formula to find the length of the curve y=9-4x,-2 ≤ x ≤ 4. Check your answer by…

A:

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 20 bushels of fruit. She…

A:

Q: Q4\ Sketch the plane curve represented by the vector valued function = (3 cost)i(4 sint)j ŕ(t) NA…

A:

Q: Suppose u and v are differentiable functions of x. Use the given values of the functions and their…

A:

Q: Answer can’t be decimals, please don’t give the decimal answer

A: Therefore, the murder took place approximately 1.886 hours before 1:30PM, which is about 1 hour and…

Q: Use a half-an le formula to find the exact value of tan 105°. tan 105° = 0 G

A: .

Q: Notice this is the graph of the derivative of g not the graph of g itself. Answer the following…

A:

Q: e^0.006x= 25 = 536.48 what is 536.48 rounded to 4 decimal places?

A: The objective of the question is to round the number 536.48 to 4 decimal places.

Q: All solutions of the differential equation  y' = −6 − y4  are decreasing functions.

A: The objective of the question is to determine whether all solutions of the given differential…

Q: 5) Find the volume of the solid generated by revolving the triangular region with vertices (0,0),…

A: The objective of this question is to find the volume of the solid generated by revolving a…

Q: 7) The region bounded by y= √x, y= 2, x=0 is revolved about the y-axis to generate a solid, its…

A: The objective of this question is to find the volume of the solid generated when the region bounded…

Q: #14. Given the integral SS² y² cos xdxdy (a) Evaluate it. "(with the given order of integration),…

A: a.)∫12​∫02π​​y2cos(x)dxdy=∫12​[y2sin(x)∣x=0x=2π​​]dy=∫12​[y2sin(2π​)−y2sin0)]dy=∫12​[y2⋅1−y2⋅0]dy=∫1…

Q: Find y' by implicit differentiation. cos(x) + √y = 7 y' =

A: Ans: y′=2y​sin(x)Explanation:Solution:Step 1: let's differentiate the equation cos(x)+y​=7…

Q: Write the corresponding rectangular equation for the curve represented by the parametric equations…

A:

Q: f(x, y, z) = xe²yz, P(1, 0, 1), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: Therefore, the required answers are a) "&gt;▽f(x,y,z)=&lt;e2yz,2xze2yz,2xye2yz&gt;b)…

Q: 15. Sketch the graph of a continuous function f with: (a) f(1) = 3, f(1) = 0 and the point (1,3) a…

A: