2) 1 Vl-x dx

Q: Find the surface area of revolution about the x-axis of y=2x+4 over the interval 2≤x≤3

A:

Q: Find all the second-order partial derivatives of the following function. w=3ye 4x²-y

A: Given :w=3ye4x2-y

Q: the phase shifts of

A:

Q: Calculate M6 for f(x) = √7x on [0,2]

A:

Q: 1. Find the limit. x² - 25 lim x 5 x² - 8x + 15 ૨૨

A:

Q: So 0 Evaluate the integral, if it exists. exc 1+e2x dx

A:

Q: Prove the following identities : a) Csc0+tan 0.Sec0=Csc0.Sec ²0

A:

Q: The lines y = - 2 and x = 2 are perpendicular. صواب خطأ

A: We have to find out solution

Q: Question 2 fe2x cos x dx Oln sin x + ² +C Oe² sin x + ² cos x + C O None of the choices ○ (1+x³)√1 +…

A: Please see the answer below.

Q: 26. In how many ways can up to 4 students be selected from 6 girls and 5 boys if each selection must…

A:

Q: For which of the following does the Mean Value Theorem apply? TT a) f(x) = tanx, - ≤x≤I b) f(x) =…

A:

Q: Stan5 xsec³x dx Osecx+secx+sec³r+C Osecx-secr+sec³r+C sec' x-secr+sec³r+C O None of the choices…

A:

Q: Set up the integral, given area enclosed bewteen curves y= x^3 + 2x^2-8x and y = -x^2 + 2x

A:

Q: intervals. (a) [1,2]n (1/2,2) n (0,1/2]. (b) R-(0.3) (c) (-2,0) U(-1,5) (d) (R-(0,3)) ((-2,0U(-1,5))

A:

Q: (3x² + 5x-2) dx

A:

Q: The length of a rectangle is increasing at a rate of 5 meters per hour and the width is decreasing…

A:

Q: Find the number k> 0 such that the region bounded by the curves y = x² and y = kx has area 9 square…

A:

Q: S dx √1-x² O-√1-z² sin-¹ z²+z+C O-√1-² sin¹z+z+C O None of the choices O-In 1-2² | sin¹2² +2+C -1…

A:

Q: 7.Find of z = 2x³-5xy² 8²z xy

A: topic- partial differentiation

Q: A circular swimming pool has a diameter of 12 m, the sides are 3 m high, and the depth of the water…

A:

Q: The Intermediate Value Theorem can be used to prove that the equation z² - 5x+6=0 has at least one…

A: Given :x2-5x+6=0

Q: 3. y = 1 √x Calculate y'. 1 V3

A:

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A:

Q: 7.Find of z = 2x³-5xy² a²z xy

A: Use partial derivative for finding the unknown

Q: Q.1/a) Solve the following integration by parts integral method fre x³ ex²+1dx 2+1dx

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) g(t) = √√√7 - t-√√3+t…

A: For square root function to be defined the term in the square root should be positive

Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

A:

Q: The solution set of the equation x2=12-4x is {2,6} صواب خطأ

A: The given equation is: x2=12-4x  ...(1)

Q: Use a product-to-sum formula to convert the expression to a sum or difference. Simplify where…

A:

Q: Find all the values of x such that the given series would converge. 8 3n (x2)(n+1) (n + 5) n=1 The…

A:

Q: Match the following rational functions with their graphs. Place the appropriate letter in the space…

A:

Q: 4. Given z = x-y x+y Find əz/ax 4

A: z=x-yx+y differentiate partially with respect to x

Q: II. Solve the following problems. Enclose final answer. 8.A kite at an altitude of 200 ft. moves…

A:

Q: Find an equation for the plane that is tangent to the surface z = In (x+y) at the point P(0,1,0).…

A:

Q: e the following function and its graph to answer (a) through (d) below. 6-X, f(x)= 3x x4. Find lim…

A: The given function,fx=6-x,x<43x4+3,x>4

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A:

Q: 3. Let R be the region below bounded by the parabola y = 4x² and the lines 3x - 2y +3=0 and y = = 0.…

A: Follow the procedure given below.

Q: You are babysitting when the screaming child throws her pacifier out the window. The baby has some…

A: Please see the below picture for detailed solution.

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A:

Q: Water is leaking out of an inverted conical tank at a rate of 8100 cubic centimeters per min at the…

A: I am attaching image so that you understand each and every step.

Q: Find the interval of convergence for the given power series. 8 (x - 4)" n(- 9)" n=1 The series is…

A: For a series of the type ∑an, interval of convergence first we find limn→∞an+1an<1 and compare it…

Q: Use the following function and its graph to answer (a) through (d) below. Let f(x)= 6-x, x3. a. Find…

A: We have to find out limit

Q: . Find the centroid of the solid generated by the area bounded by y = sin x and the lines x = 0; x =…

A:

Q: Find the gradient of f(x,y,z) = (x² + y² +z²) ¯ - 1/2 Vf(-21.-2)=(1+Dj+k (Type integers or…

A: topic - gradient of a function

Q: x2 Consider the ellipse + = 1. 62 In finding the area of this ellipse, use a horizontal element in…

A:

Q: 2) Determine the sine function that models the given information: (8K) Amplitude Period Phase Shift…

A:

Q: er each integral is improper. If it is improper, give your jus

A:

Q: Find all critical points of f(x) = 4x³ + 4x-3. (Use symbolic notation and fractions where needed.…

A:

Q: Compute the area of the region enclosed by the curves. X y - 2x², y = x² - 4x -2/25 2

A:

Q: 15. Ssin (In x) dx.

A: If  u and v are function of x then the integration of uv by parts is given by…