c) 3,-1, -3, 3, -9, -27, ...

Q: Identify the surface area formed by revolving the graph of about the x-axis y = cosh x, 0 ≤ x ≤ 1

A: Graph of the function÷

Q: What is the inverse for the function f(x) = 2+3/1-x? A. f1(x)=1-(x-2)³ 1 B. f¯¹(x) = 2+³/1-x C.…

A: Given that:  f(x)= 2+ (1-x)1/3 and we find the value of f-1(x).   Here i attached the solution of…

Q: A rectangular field having an area of 2500m2 is to be enclosed by a fence, and two additional fence…

A: Area=L×W=2500 m2 So,L=2500W The perimeter P=2L+2W+2W {to divide the field into three 2 fences of W…

Q: T. (3x² - 4x¹ + 2)dx -1 -3

A:

Q: 2. Verify using the principle of Superposition that y₁ = ²* and y₂ = e* are solutions of y" - 7y'…

A:

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 4y - y² and y =…

A:

Q: A sphere has a diameter whose endpoints are Pi₁(3, 2, 1) and P₂(-1,-4,-4). Find the equation of the…

A: We will solve the problem

Q: Find the area of the parallelogram with vertices P₁, P2, P3, P4 P₁ = (1,3,3), P₂ = (1,2,2), P3 =…

A:

Q: d The series is divergent. . Ignore "Give your reasons" below. There is no need to give reason.…

A:

Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression…

A:

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A:

Q: Find the average value of the f(x) from z = 10 to z = 16 f(x)= √² - 100 I

A:

Q: Suppose that A, B, C, D, and E are matrices with the following sizes: A B C D E (4 × 1) (4x4) (4x 1)…

A: We know that matrix multiplication AB is defined only if number of column of matrix A is equal to…

Q: 2. Differentiate the following: a. y = 2x-2y b. 2sinxcosy=1

A:

Q: 23. Test the series below for convergence using the Ratio Test. Σ n2²n 8n-1 n=1 The limit of the…

A: Here we have, ∑n=1∞n22n8n-1

Q: Please answer both

A:

Q: a. For the following function, find f'(a). b. Determine an equation of the line tangent to the graph…

A: This question can be solved using the concepts of application of derivatives.

Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

A:

Q: True or false 1. √2 If cosh x = V, then sinh x = 2. It is possible for a function to have an…

A: Here we have to determine whether the statement is true or false.

Q: Let P be the point with Cartesian coordinates (6,9), and C be the plane curve with parametric…

A: The parametric equation,x=t2-t and y=2t3-1123

Q: Find the Area of the Surface obtained by rotating the curve about the x - axis y = cosh x, 0 ≤ x ≤ 1

A:

Q: If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

A:

Q: If 2x²+x+1 S (x-1)(x+1)(x-2) A -2 B None 11 3 U D E - 3 11 3 A SA -dx = B + x-1 x+1 x-2 с -+ dx,…

A: Given, 2x2+x+1x-1x+1x-2

Q: What is the domain of each part of the piecewise-defined function? (Enter your answers using…

A: Given that fx=-1.95x+25.90.535x2-1.58x+6.2Solution :Intersection point of piecewise-defined function…

Q: Show that the three functions: f₁(x) = ex-8,f₂(x) = ex, f(x) = 4(2x-2) are linearly dependent.

A:

Q: Let The coefficient of x' in the Maclaurin series for f(x) is: Answer f(x)=9e2x-x.

A:

Q: R(t) = (2 ln|sec t], sin 2t, cos 2t) Find the distance travelled by a particle along the curve…

A: Let's find distance traveled by a particle.

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bound by…

A: Volume of solid is evaluated using cylinderical shell method.

Q: Find the volume of the solid generated when the region ? bounded by the given curves is revolved…

A:

Q: = 0 and y 16k (x-3) = 0. Find the area bounded by the parabolas (x - 3)² - 16ky =

A: Given: (x−3)2−16ky=0 and y2−16k(x−3)=0 Graph of the given curves will be as follows

Q: 4. Evaluate the line integral along the path C given by x = 2t, y = 10t, where 0 ≤ t ≤ 1. (a)…

A: Both integral is solved.

Q: f(x)-f(a) a. Use the definition mtan = lim x-a x-a b. Determine an equation of the tangent line at…

A:

Q: Integrate the following functions f(x)=Ln [sec (x)] [², 3]

A: We will see the graph of secx to judge the value of greatest integer function of secx.

Q: · ƒ³3(x + 1)(x + 2)²(x² −1)dx with and without the even-odd theorems (show both solutions).

A: Solution :Without odd-even…

Q: Convert the Cartesian coordinate (-5,-3) to polar coordinates, 0≤ r = 0 = Il

A: We have to find polar form

Q: Find the volume generated by revolving the area bounded by x² + 4x + 4y + 8 = 0 and y=-2 about the…

A:

Q: Differentiate the function: y = e-x cos²x x²+x+1

A: To differentiate the function.

Q: Z2 = Z1 Find the product z₁z2 and the quotients Z2 Z1Z2 = Z1 Z2 1 Z1 = II and Z1 (Express your…

A: As per the guidelines we can solve 3 problems only.

Q: ปืน น g-x) (2+x) (4x - 42.Sou 1-2

A: Given:        π∫-228-x2-2+x2dx     =π∫-2264+x2-16x-4+x4+4x2dx     =π∫-2264+x2-16x-4+x4+4x2dx…

Q: 1 Find the arclength of the curve x = 3 1 ',v = 22 -t³ t2 with 7 ≤ t ≤ 8.

A: The arc length of a curve in parametric form x=f(t) ; y=g(t) for b≤t≤a is given by,…

Q: Find the derivative of the following functions. Use long method. a. f(x) = 3x² + 5x - 100 b. f(x) =…

A:

Q: Finding the Determinants Using Combined Methods (row operations and cofactor method) -2 -4 A = 1 4 8…

A:

Q: line l: x = = and point P(1,0,1). ● Find the set of parametric equations of the line parallel to…

A: Both questions are solved.

Q: The limit below represents the slope of a curve y = f(x) at the point (a,f(a)). Determine the…

A:

Q: Evaluate the double integral that will find the volume of a solid bounded by z = 4 − x^2 − 4y^2 and…

A: Let's find volume of solid.

Q: Find a particular solution of as =10csc² 2t determined by s= 2 when t == . dt

A: dsdt=10csc2(2t)  s(π/4)=2 ds=10csc2(2t)  take integration both side

Q: A certain family in Sitio Calculus opened a t-shirt business last year. The family started with 50…

A: Given: fx=x2-2x+3 Since, the marginal cost function is the derivative of the total cost function,…

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: ds π Find a particular solution of =10csc² 2t determined by s= 2 when t = - dt

A: Given that the differential equation  ds/dt=10*csc^2(2t) Determine by s=2 when t=pai/4  To find the…

Q: The volume of a cube is increasing at the rate of 4cm³/min. How fast is the surface area increasing…

A: