cos (+h)-cos(3) COS h I {+h)- - 3 3 h 3. Evaluate lim →(7/3) COS 4. Evaluate lim ₁0 π Cos

Q: The integral of 2 raised to 4x dx with limits of 1 to 2 is equal to 85.6521 86.5617 86.1657 85.5621…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A:

Q: L{f(t)} f(t) = e-t sin t = (s> -1)

A:

Q: 4

A:

Q: 1. Find the Inverse Laplace Transforms of the following. 3s 2) s²-4

A: Given :L-13ss2-4

Q: Question 17 The integral represents which quantity? the total mass with density F the length of the…

A: We need to choose correct option.

Q: Je(ye-1) dr+e dy, where C' is the semicircle through (0, -10), (10,0), and (0, 10). (Compare Problem…

A: Using green theorem, value is evaluated.

Q: 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

A: Given problem:- 4. Find an equation for the plane through (1, 3, 4), (2, 2, 3), and (3, 2, 1).

Q: Find the 1) Sketch the ii) Determine the ::::.) Set-up iv.) Integrate 2 ²) y = x ²²₁₂ y = 2 = x₁…

A: Given problem:- Find the area bounded by curves y=x2 , y=2-x, x≥ 0

Q: 4. If 6.5 m³ of oil weighs 46,800 N, calculate its density in kg/m³. (a) 285 (b) 258 (c) 82 (d) 734…

A: Given problem:- 4. If 6.5 m³ of oil weighs 46,800 N, calculate its density in kg/m³. (a) 285 (b) 258…

Q: Evaluate the following integral. JIS x ln y tan z dV if S = = (x, y, z) € R³ : −1 ≤ x ≤ 0, e ≤ y ≤…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: If u and are orthogonal to each other, then u x O True False = 0.

A: Given :u→ and v→ are orthogonal

Q: (-2,5,7) + t(-3, 1,-4) and that the point Given a line defined by the equation T = P(x, y, 15) lies…

A:

Q: √√1-25x² dx

A: This question can be solved by the concept of some special integrals.

Q: Find the indefinite integral. √4x In (7x) dx √4x In (7x) dx =

A:

Q: 1. What is the smallest number that can be exactly divided by 2, 3, 4, 5 and 8? 120 20 12 24 2. What…

A: A detailed solution is given below.

Q: Which of the following are parametric equations for the ellipse given by 9 apply. + y² = 1? Choose…

A:

Q: Use lagrange multipliers to determine the maximum and minimum values of f(x,y)= xy subject to the…

A:

Q: Solve using Variation of Parameters (D² + 1) y = tan x O y = c₁ cos x + c₂ sin x − cos x ln(secx +…

A: The objective is to find the general solution using variation of parameter.

Q: The integral represents which quantity? O the total mass with density F O the length of the curve C…

A: Solution

Q: Calculate the area contained between the curve y = cos x,-<x<, and the line y = 1/2. T 3 √3 Option 1…

A:

Q: 1. Be the data set according to the following table of values: On a coordinate plane, plot the data…

A: topic- exponential function

Q: The following statements are true about "Integration" except: the method of adding or summing up the…

A:

Q: Evaluate csc(π/6)   Enter the exact answer.

A: Solution ) csc(π/6)  Angle in first quadrant  We know that  Sin x = 1/ csc x  x = π/6 Sin (π/6)  =…

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

A: Given problem:-

Q: a 1. The graph of y = where a is a constant is called the witch of Agnessi (named after 2 x²+a² the…

A: To find the derivative and equation of line tangent to the given curve.

Q: Sketch the region on the plane defined by the following integral. Then, switch the order of…

A:

Q: 1. Find of ахду OF f(x,y) = xy (x+y-1) -x2

A:

Q: д 1 Option 1 Option 3 1 1+ 3x2 2√3 9 2 3 3 dx Option 2 Option 4 √3л 9 √3л 3

A:

Q: If Vf = F, then F is called a potential vector field, and f is called a conservative function. O…

A: Answer: True

Q: onvert the point p = (2,7) in the polar coordinate system to its artesian coordinate equivalent, and…

A:

Q: d. e. f. 1 R, Re 1 1 + 4.5×10²2 9.4×10² (1.7×10³ J)-(3.3 × 10² J) (1.7×10³J) = - e= (1.33) sin 25.0°…

A:

Q: 3. I. -1 2 Evaluate each determinant. 5 3

A: Given,-1523

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: follow next step

Q: Q3 Calculate the value of the following integeral: dx (1) S 2x√x-1 etan ¹x 1 + x² - dx

A:

Q: Question 5 Given the function y = f (x) defined at all real values of x. Let x = 2, 3, 5 and 7 are…

A:

Q: Find the local maximum and minimum values of the function f(x) = -x - 25 using the Second Derivative…

A: Given problem:- Find the local maximum and minimum values of the function f(x) = -x- 25/x using the…

Q: Let x = [X₁ X2 X3]. Find the matrix A such that the system x' (t) = Ax(t) + f(t) is equivalent to…

A: Here is the solution of the given problem. Differential equation to system of differential equation.

Q: Let R be the region in the first quadrant bounded by x^2 +y^2 =4, y^2 = -x+4 and y=0. Set up the…

A: We have to find the area of the given region.

Q: Find the volume generated if the area between y = coshx and x from x = 0 to x = 1 is resolved about…

A:

Q: 2. Determine whether the vectors a and b are parallel, orthogonal or neither for the given a and b.…

A:

Q: If the spherical coordinates (p, 0, ) of a point P are (1, 0,), then the Cartesian (rectangular)…

A:

Q: A rectangular metal tank with an open top is to hold 864 cubic feet of liquid. What are the…

A: SOLUTION-

Q: Find the average value of the function on the given interval. f(x)=√√x+3; [1, 13] (Type an integer…

A:

Q: Determine the interval(s) where f(x)-In (5x+10) is continuous. It is continuous in the interval

A:

Q: Let F be the vector field defined on the plane by F(x, y) = (x¹+3y, 6x - siny). Let C be the unit…

A:

Q: 2. Evaluate the following 3. S²³S² (5x³y² + 3x) dy dx 3 3 9. O

A: ∫03∫01(5x2y3+3x) dy dx

Q: Find the critical point of the function f(x, y) = x² + y² + xy +7.5x C=

A: To find the critical point of the function fx, y=x2+y2+xy+7.5x.

Q: Find the volume of the solid of revolution formed by rotating about the x-axis the region bounded by…

A:

Q: 8+6.4+5.12+... Which one of the following is the sum of this infinite series? a) 40 b) 35 c)…

A: topic- geometric series