Sar en x² dx Given: Find: Formula o fe"du Sa"au

Q: Explain if the function is continuous or not for the given number a. if x>1 if x = 1 ,a=1 if x<1 f(x...

A: we have given function     we need to determine the continuity at a=1    

Q: 4. Find the double integration of [(1+xy* )dx dy. ww m

A: ∫04∫y2y(1+xy2)dx dy∫04x+y2.x22y2ydy  

Q: How do i find the ral seros of  a given polynomial and their corresponding multiplicities? g(x)=x(x...

A: We have to find the zeroes and their multiplicities.

Q: If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3, find the level of sales, x...

A: Given problem:- If the total revenue function for a computer is R(x) = 2600x - 11x2 - x3 find the le...

Q: Calculate the area of the figure given by the law of the mean of two bases 15 :8 13 10 11 8. 8 8. 8.

A: Area of trapezium =12(sum of two parallel sides)×heightArea of triangle=12×base×heightArea of figure...

Q: dy - y = xy2 dx

A:

Q: Use Newton's method and find an approximation for the root of the following function accurate to wit...

A:

Q: Which of the following is/are true about the function whose graph is shown below? (6,5). (1,4) (-4,2...

A: a) function has removable discontinuity at x =-4  B) function is continuous at x = -2  C) there is j...

Q: y y = 2 2 1 y = 1 → X п/2

A: The given question has been solved in detail. 

Q: (a) Solve the following: (ii) log,(x+3)=1-log,(x-1)

A:

Q: Determine the value of x of: (Зх — 1 f(x) = {5 x + 2 x 2 X = 2

A: Given:    Function is given  

Q: = 2.4 · x and g(x) 6. x2 and h(x) = - 1.1 · a°. Without evaluating, determine the sign of each of th...

A: The given question has been solved in detail. 

Q: Find the area of the shaded region in the given graph.

A: This question can be solved using the concept of area under curve using definite integral.

Q: Question 2: Differentiate the functions by using product or quotiem a) f(x) = (2 – 3x²) · e* %3D Зx+...

A: f(x)=(2-3x2)*ex=ddx(2-3x2)*exWe know that (uv)'=u'v+v'u=ddx(2-3x2)*ex+(2-3x2)*ddx(ex)=(0-3*2x)ex+(2-...

Q: For the following function, find appropriate function g(x) of fixed point method: f (x) = xe* – 1 -

A: g(x)=

Q: Use sigma notation to write the Taylor series about x = function. 1 x + 5

A:

Q: Sketch the region enclosed by the given curves and decide whether to integrate with respect to x or ...

A: This question can be solved using application of integrals to find area under curves.

Q: What is the shortest distance from the point (4, 0, 5) to the sphere (x-1)2 + (y+2)2+2 = 367? %D O V...

A: topic - shortest distance between point and sphere

Q: Let g(s) = (5s – 8)*. - Then g'(s) is g'(3) is s! (s),,6 and g''(3) is

A:

Q: Solve the absolute value. 2 – 2x + 13 = 5 then x = Enter your solution(s) as integers or reduced fra...

A:

Q: (x² + y²)dx – xydy = 0 %3D -

A:

Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. Зп ...

A:

Q: Calculate the integral

A: Required formulae: ∫exdx=ex+c , c = integration constant∫abexdx=[ex]ab=eb-ea

Q: 3. Consider the function f(x)=V x* +3. a) Estimate the area under the graph of f(x) from a = 0 to b ...

A:

Q: Find the average value of the following function: p(x)  =  4x2 + 5x + 6 on the interval  1  ≤  x  ...

A:

Q: Set up (do not solvel) the volume of the solid whose base is bounded by y = x, y = 0 and x = 1. with...

A: We need to set up integral.

Q: An object is dropped from a tower, 1936 ft above the ground. The object's height above ground t seco...

A:

Q: A solld is obtained by rotating the shaded reglon about the specifled line. about the x-axis y y = V...

A:

Q: Juan's body metabolizes caffeine at a rate of 14.2% per hour (so the amount of caffeine in Juan's bo...

A: The amount of caffeine in Juan's body decreases by 14.2% each hour.

Q: IM: 2. For each of the following series, determine if the series is geometric or not. If it IS geome...

A:

Q: 11. sec(x) /sec(x)+ tan(x)dx

A: Topic:- integration

Q: Find dy/dx, using implicit differentiation. e*y – y = 8 Implicit Differentiation: dx Compare your an...

A:

Q: Suppose f(x) (x + 5)(x + 2)(x + 1) a. Determine the roots of the function f. Preview b. What is the ...

A:

Q: 6. Find the derivatives of the following functions/curves: a) sin(y?) + cos(x²) = xy 1 2x b) f(x) = ...

A:

Q: Given the combined differential operators for a given differential equation (D + 7)³ (D – 2)(D + 1) ...

A:

Q: Let f(x) = 4e"+2 + e-3. | f'(0)

A: Question is solved.

Q: e3x - 00 1+e3x –3 dx =

A: Given,            ∫-∞-3e3x1+e3xdx

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

A:

Q: A manufacturer estimates that its product can be produced at a total cost of C(x) = 45,000 + 100x + ...

A:

Q: Given the differential equation у" — у' — 12у %3D 7ез^ cos(x) Determine the Wronskian for the differ...

A: Solving wronskian

Q: In each part, determine all values of p for which the integral is improper. Enter in interval notati...

A:

Q: 1- 2x b) f(г) — x² + 1

A: (b) To find the derivative of  f(x)=1-2xx2+1 The function is of the form f(x)=uv where u and v are f...

Q: The product of two positive numbers is 2304. Find the minimum sum of the two numbers. O a. 88 O b. 7...

A:

Q: Find all solutions to the following first-order differential equation.  Make sure the solution set d...

A:

Q: Given the general solution to a differential equation and its initial conditions y(x) = C, e + C, e-...

A: Answer and explanation is given below...

Q: y' + y tan x sin x cos With y(4) = 0

A:

Q: Given the Table of Values for the given limit, which of the following is FALSE?

A: The objective is to find the false option.

Q: Consider the following graph. y 3 2 1 X -10 -8 -6 -4 -2 2 Identify the parent function represented b...

A: The objective is to identify the parent function ,the transformation represented by the graph and th...

Q: Determine the value of x of the continuous function: * (x – 1 x 3 f(x) = {3x – 3 Зх — (-4x + 3

A:

Q: Determine the end behavior of the following polynomial functions. (That is, does f(x) increase or de...

A: