Convert the point (r, 0, z) = 3 (1, 2, 2) to 2 to Cartesian coordinates. Give answers either as expressions, or decimals to at least one decimal place. (x, y, z) =

Q: lim (-3x+16) x→7 >>> Question Details Done 4. Approximate the limit using a table or graph. Make…

A: Given:Function: f(x)=−3x+16limx→7​(−3x+16)Step 1: Substitute the value into the function. When…

Q: Suppose that the marginal propensity to consume is dC dy = 0.9 − e−2y (in trillions of dollars) and…

A:

Q: Solve ln (x-1) = 2 In (x+1) 2 ln (logx) = -> include restrictions for both

A: A and B calculations

Q: Find the particular solution of the differential equation that satisfies the initial condition(s) f"…

A: To find the particular solution of the differential equation that satifiesthe following initial…

Q: #3: Suppose that f(x) is the sum of the Fourier series 4+6n = f(x) + Σ sin(nx) n=1 1+n² +5 sin.x +…

A:

Q: Consider the function f(x)=x³. (a) Find f(a + h). (b) Find f(a + h) -f(a) h (c) Find the…

A:

Q: 7) Use polar coordinates to the find the volume of the solid under the surface f(x,y) = x+y and over…

A: To find the volume of the solid under the surface  f(x,y)=x+y  and over the region bound by…

Q: 6. Find the cylindrical equation for the ellipsoid 4x2 +4y²+z2 = 1.

A: The objective of the question is to convert the given equation of an ellipsoid in Cartesian…

Q: Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, -3), (4, -3),…

A:

Q: if u=[2,3,0] and v=[0,2,4], find a vector of magnitude 4 perpendicular to u and v

A:

Q: 10. Sally reasoned that if she drove 30 km/hr in one direction over a 180 km distance, and then…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: A ball is thrown vertically upward from a height of 7 feet with an initial velocity of 70feet per…

A: The objective of this question is to find the maximum height the ball will reach when thrown upward…

Q: R 12) Use a change of variables to evaluate the double integral f₂ 12xy dA over the square-shaped…

A: Step 1:Step 2:Step 3: Step 4:

Q: Problem #5. Evaluate the triple integral by using cylindrical coordinates: 2 ៨ 3 e-r² r dz dr de

A: ∴

Q: Find the derivative of the following function. y= (3x²+7) (4x+1) 5x-9

A:

Q: Use the quotient rule to find the derivative of the function. y' = (Simplify your answer.) 2 y= 7x-6

A:

Q: 3.) Find the indefinite integral: √ 3π² + 3x √1- 3 + dx x²

A: Step 1: Step 2: Step 3: Step 4:

Q: Obtain the derivative dy/dx. dy dx y = 13 State the rules that you use. (Select all that apply.)…

A: Step 1:To find the derivative dxdy​ of y=13, we'll use the constant multiple rule. The constant…

Q: The limit L of an alternating series that satisfies the conditions of the Alternating Series Test…

A: Step 1:Step 2:

Q: #1, Given the plane curve ŕ (t) = (x(t), y(t))=(-sint, 2 cos²+) = ㅠ (a) Find the exact coordinates…

A: Step 1: Step 2: Step 3: Step 4:

Q: - 11) Calculate the Jacobian, J, for the change of variables x = u cos(0) – v sin(e) and y = usin(0)…

A: The objective of this question is to calculate the Jacobian of the transformation from the variables…

Q: Evaluate the surface integral Th F⚫ds for the given vector field F and the oriented surface S. In…

A: Since S  is a cone, it's convenient to use cylindrical coordinates. Let θ  be the angle measured…

Q: (a) A four-person student council is elected each year consisting of one student from each of the…

A: The objective of this question is to find out the total number of different elected councils…

Q: Is this correct?

A: (a)Integrating the given velocity…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3,    0 ≤…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Question 9 Difficulty: ill Find the greatest value of y=-2z3+3x² + 12z - 5 in the interval -2

A: Step 1:To find the greatest value of y=−2x3+3x2+12x−5 in the interval −2≤x≤1, we need to find the…

Q: Given the point (2, 3) on a tangent line to the curve f(x) = x^2 + 3x − 4 find the point(s) where…

A: Step 1:Step 2:Step 3:Step 4:

Q: Sketch the graph of a function with the given characteristics.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the length of the curve Arc length = x = 1 √(y – 3), 1≤ y ≤ 9.

A: Step 1:       Step 2: Step 3: Step 4:

Q: Use the table to determine the indicated derivative or state that the derivative cannot be…

A: Step 1: Given the table of values below: x−10−50510f(x)01234f′(x)152​21​72​0 Step 2: The derivative…

Q: Consider the surface F(x, y, z) = x7z8 + sin(y8z8) + 10 = 0. Find the following partial derivatives…

A:

Q: Given Ś Ś cos (y²) dy doc (a) Write down o x inequalities in xy for ?εχε? Ly the region R of…

A:

Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above. IC…

A: ANSWER : ​​

Q: Let lim f(x) = 4 and lim g(x) = 6. Use the limit rules to find the following limit. x+4 f(x) + g(x)…

A:

Q: Find the derivative of the given function. 7x y= 30' y' = ☐ (Type an exact answer.)

A:

Q: This is the curve sketching unit in calculus so show proper work and get correct answer

A: If you have any problem let me know here in comment box for this thankyou.

Q: Find the differential of the function. y = x² - 9x + 2 dy = Evaluate it at the given values of x and…

A: Step 1:To find the differential of the function y=x2−9x+2, we'll use the definition of the…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x׳, 0 ≤x≤ 5…

A:

Q: Suppose that the function f(x) is defined as f(x) = 2 sin²x-9 sin x cos x + cos² (2x) — 7 sin(2x)…

A: The given function

Q: Diminishing Returns Jesaki Inc estimates that it will sell N(x) units of product after spending $x…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Write the function as a composition of two functions. 2 3-(x²+6x)³-3(x²-6x)³+6 y= (x²+6x)³-3(x²+6x)…

A:

Q: 5) Find the volume of the solid under the surface f(x, y) = 1-xy and over the region bound by the…

A: To find the volume of the solid under the surface f(x,y)=1−xy over the region bound by the curves…

Q: 1. Write the polar equation foreach conic. Explain your choices. Ellipse Hyperbola Parabola

A: If you have any questions let me know in comment box thankyou.

Q: Consider the ODE dx /+/2y1/2 + y x1/2y/2x Let g(x,y) be that monstrosity on the right-hand side.…

A: Step 1: Given ODE is : dxdy​=x1/2ye/2πxπ/e+xπ/2ey1/2+y​ Step 2: Let the right side of the ODE is:…

Q: The cost of manufacturing a certain mountain bike is given by c(x)=200,000 + 100x, where x is the…

A:

Q: A population of rabbits oscillates 20 above and below average during the year, hitting the lowest…

A: To find an equation for the population P in terms of the months since January, t, we can use the…

Q: Given f(x) = 5* determine the equation for g(x)= −ƒ¯³(x-2)

A: Or, g(x) = -log5(x - 2)     [When written in terms of log as loga(x) = ln(x)/ln(a) ]

Q: 2. A spring is 10 cm long when not stretched. If it takes 120 N to stretch it from its resting…

A: Step 1:Step 2:

Q: Bioengineers construct peptides with new functions by starting with a particular peptide, and then…

A: (a) Mutating Specific Positions: In this scenario, we're mutating specific positions: positions…

Q: Find the maximum volume of a rectangular box whose surface area is 1300 cm² and whose total edge…

A: The surface area of a rectangular box is given by: A=2lw+2lh+2wh The total edge length is given by:…