c) 2x²8x + 4x³ - 4

Q: 191. f(x) = x³ + 1

A:

Q: 2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the…

A:

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A:

Q: You are taking a road trip in a car without A/C. The temperture in the car is 105 degrees F. You buy…

A: Above question is solved.

Q: This is all one question. I really need help on this. Thank you so much

A: Given: peter goes on a ferris wheel that has a diameter of 36 feet and the distance fro the bottom…

Q: 2. Solve the differential equation dx for y = f(x) with the initial condition y(0) = 2.

A:

Q: e) 9x³ + 6x² + 18x + 12

A:

Q: 3. Find the vertex, focus, and equation of the directrix for the conic given by (x + 1)² = -20(y -…

A: We have to find focus, vertex and equation of directrix.

Q: π 7. fz sin¹x cos¹ x dx

A: To evaluate the following integral by using Walli's formula.∫0π2 sin4 x cos4 x dx

Q: 4. If ricost cosh t+j sint sinh t, where i and j are constant orthogonal vectors prove that (a)…

A: Given r = i cost cosht + j sint sinht

Q: (3x - 2y + 1) dx + (3x - 2y + 3) dy = 0.

A:

Q: 3. Evaluate f(x) = 15 – ½ (x) for f (4). a) 16 b) 14 c) 13 d) none of the above

A: 3.  This is a problem of polynomial.  Here given a polynomial f(x) and find f(4).

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: Centerville is located at 10,0 in the xy-plane Springfield is at 0,5 Shelbyville is at 0,-5 The…

Q: Find the cross product u x 7 where u = 51 -3j+k and = (-1, -3,2). uxv=

A: To find the cross product u→×v→ where u→=5i-3j+k and v→=-1, -3, 2.

Q: Find the area of a triangle PQR, where P = (-1,-1, 1), Q = (4, -3, -6), and R = (1, -6, -3) Check…

A:

Q: Consider points A(4, -1, 3), B(3, 1, 6), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

A: The given problem is solved below in detail.

Q: 1 4. f₁² (1-x²) dx 5 2

A:

Q: 2 √9x²-16 x² dx

A: We will use substitute method to solve the integration

Q: m M|L II k=0 CO M« Σ N சிய

A:

Q: Solve the differential equation xdy]=0 xdx +sin? (%) [yde 4x ln || - 2y + x sin ( ² ) = 0 2x a. 2y…

A: Given :   xdx+sin2yxydx-xdy=0

Q: A lamp post 3m high is 6m from a wall. A man 2m tall is walking directly from  the post toward the…

A: Given:- The given lamp post 3m high is 6m from a wall The given man's height is 2m The man is…

Q: 3. Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x…

A: Topic- application of derivatives

Q: Q9. Find the value of the right side of Gauss divergence theorem for F = x²ī+ zī+ yz k over the cube…

A:

Q: Let f be the function graphed below. If 20 subintervals of equal length are used, write a summation…

A: Graph of the function given on the interval 2,4 with 20 sub interval of equal length we have to find…

Q: Find -(62). Type In(x) for the natural logarithm function. da

A: Topic = Derivative

Q: Evaluate the limit. Note: Enter two 'o's to make infinity (oo). 1 [ In(t-2) lim e³-t Check Answer

A: Given problem:- limt→∞4t,e3-t,1lnt-2

Q: 5x9 8. What are the restrictions on the variable for · 2 x + 13x + 42 a) x # 6, x # 7 b) x −6, x‡ -7…

A:

Q: Consider the following function. f(x) = (x-8)ex (a) Find the critical numbers of f. (Enter your…

A:

Q: i) lim cos x-0 7 πCOS²x x²

A:

Q: Find the volume of the region bounded by z = x²,0 ≤ x ≤ 5, and the planes y = 0, y = 2, and z = 0.…

A:

Q: x² yey lim(x,y)→(0,0) x4 + x + y²

A: To evaluate the following limit.limx, y→0, 0 x2yeyx4+x+y4

Q: Evaluate the definite integral by the limit definition. L²(x² + 4) dx Submit Answer

A:

Q: Q4. Find the values of the constants a, b, c so that F = (axy + bz3³)ī+ (3x² - cz)j + (3xz² - y)k is…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: d. y = ار نے

A:

Q: IN 15 MINUTES PLEASE calculus Find all points on the curve x^2y^2 + xy = 2 where the slope of the…

A: Solution is done in step 2

Q: Write a limit using summations that would equal n Answer: lim Σ N→∞ k=1 1 2 [ (²-5) dz. Submit A

A:

Q: Let f(x) = x^2 - 4x + 1. What is the equation of the tangent line to f(x) at x = 2? Use the limit…

A: Please see the below picture for detailed solution.

Q: (y¹ - 2xy)dx + 3x² dy = 0

A:

Q: aluate the integral using integration by parts with the indicated choices of u and dv. (Use C for…

A:

Q: Q4. Find the values of the constants a, b, c so that - F = (axy + bz³)ī+ (3x² − cz)j + (3xz² − y)k…

A:

Q: Find a unit vector that is orthogonal to both = (1, 1, 9) and v = Enter vector brackets using the…

A:

Q: 19. Suppose the rate of change of production of a regular worker at a factory is given by dp…

A: Given problem:- Suppose the rate of change of production of a regular worker at a factory is given…

Q: Let the line PQ pass through the points P = (-4,-4, -6) and Q = (-2, 1, - 16). The line will pass…

A:

Q: Let E be the solid below z = 50- x² - y² and above the square [-5, 5] × [-5, 5] Given the solid has…

A: Let's find moment of inertia of E about z axis.

Q: x²+1 lim x-5 √2x+2-2

A: We have to evaluate the limit.

Q: Convert x2+y2= 26 to an equation in polar coordinates in terms of ? and ?.

A: The given equation is x2+y2=26 we have to convert this equation into polar coordinate in terms of r…

Q: Let v = 27 + 3 + 5k. Find ||||. Check Answer

A:

Q: A colony of bees lives in an ever-growing beehive that is in the shape of a sphere. Use The volume…

A: 20 new bees are added to the hive each week. Each bee in the colony needs 5 cm3 of space. (space…

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

A:

Q: Set up the definite integral required to find the area of the region between the graph of y = 13 –…

A: Concept: Area between the two curves: Let y=f(x) and y=g(x) be the curves and a and b are two…