4.1 Evaluate the integral [3√x √(3√x - 1 / +5 4 + x² expressions after applying the integration rules. sin(x)-4 dx. Do not simplify the

Q: g(x)=x5bx³ +a+c. Use calculus to: St (a) Find the critical points of g(x). (Round the y-value to 3…

A: Given a=15, b=12 & c= 15

Q: Show that the interval [a,b] is complete

A: Given

Q: 1. Show that z³+y³ lim (x, y) (0,0) 1² + y² does not exist.

A:

Q: * The z-transform of a signal is given below,its final value z¯¹ (1 - z-4) x(z) = 0.25 (1-z-¹)² 10…

A:

Q: 3 E (It=X) xp x te

A:

Q: Evaluate lim 00 0-1/1/201 O None of the choices ¹ 0-1/201 O 14 tan z 1 x cos x

A:

Q: Show that: le a (i) a е a а al (2a +1)(1-a)2

A: Given :laaalaaal=2a+ll-a2

Q: Differentiate the following expression: y = x² cos 4x

A:

Q: Find the area of the surface generated when the given arc is revolved about the y-axis ㄷ y = 4 - x²…

A: We have to find area of the surface .

Q: y' 1+x² x Y

A:

Q: CD is a parallelogram with vertices A(0, 2, -3), B(2, -1, 4) and C(-3, 1, 2). Find the angl een the…

A: Follow the procedure given below.

Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: 7-10 Verify the given linea determine the values of x for accurate to within 0.1. 7. √√/1 + 2x 1 + x

A:

Q: Find the function f given that the slope of the tangent line at any point (x, f(x)) is f'(x) and…

A: This question is related to Functions and application of integration, we will solve it using given…

Q: he polar equation for circle x^2+(y- 3)^2 =9

A:

Q: | 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7) 2)3x+2 = 27

A: This question is related to solution of equations, we will solve it using given information.

Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200…

A:

Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

A:

Q: Use dx f'[f¹(x)] Let f(x) = 7x³ +6, x20. Find dx x = 195 to find the derivative of the inverse at…

A:

Q: Q9) The linear form of nonlinear ODE y' - 2y = 2y, is: b) u' - 6u = -6 a) u' + 6u =-6 c) u' - 6u = 6…

A:

Q: 4. The equation of a plane is [x, y, z)=[-1,-1,1]+s[1, 0, 1]+[0, 1, 2]. Find the - intercept of the…

A:

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

A:

Q: X xp zo-zXI

A:

Q: 1 Given f(x)=³-57² +24r, which of the critical number found in the previous number is f(c) a…

A: You must have an idea about to how to find relative maximum or minimum using critical points.

Q: Which of these series, if either, converges conditionally? 1. - (−1)k k=√k (-1)k II. Ÿ (- 1)*…

A:

Q: Find F(s). ℒ{t3e−4t}

A:

Q: Find the Taylor Series about a for tan x

A:

Q: 8 1 ₁ }(s) = = nº n=1 Show that finding the value of the Reiman Zeta for (2) is just the value Basel…

A:

Q: integral

A: We will find the solution m

Q: Q1) L-1 a) cosht -1 b) 1 - cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of y"" + 2y"…

A:

Q: let A be a bounded. Sup A non. n-empty set in R show that is a limit point of A.

A:

Q: 2x² + 3x + 3 (x + 1)³ - dx

A:

Q: Find the derivative of the function f(x) = = sin(x) - 1 cos(2x) + 1 4

A:

Q: Question 4 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

A: To find out two numbers.

Q: cos e de sin² 0 + 4 sin 0-5

A: To evaluate the given integral.∫cos θ dθsin2 θ+4 sin θ-5

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A:

Q: 4 f(x) = 3x6 3 f(x) = $/x2

A:

Q: Determine whether or not the following limits exist (explain why or why not): x² - y² a) lim…

A:

Q: Find the midpoint of the line segment shown below. 6+ 4 Midpoint 11 224 -4 5 -6+

A: We need to find mid point.

Q: 1)y= (8+7x³) Find the derivative of the following functions 2)y = (x +5)®(2x + 3) 3)y=

A: We have to find the derivative of the given function

Q: a) e b) e-t Q24) The Integrating factor which make (3x2y + 2xy + y³)dx + (x² + y²)dy = 0 exact, 15.…

A: A detailed solution is given below.

Q: What is the z-transform of the ?signal x(n)=(0.5)nu(n) Roc |Z| 0.5 Option 1 1 (1-0.5z-¹) 1…

A:

Q: Use the Laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t,    y(0) =…

A:

Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

A:

Q: Find the limit (if it exists). (If an answer does not exist, enter DNE.) (t+ At)² -4 (t+At)…

A: Follow next step

Q: Let V be the volume of the solid obtained by rotating the region above the x-axis and below the…

A:

Q: lim,+1+(1²-2-²-1) In

A:

Q: 32 *The solution for the following differential equation is dy x-y dx x+y y² + 2xy - x² = c y² + xy…

A:

Q: (a) Solve the following: 4x¹dx (b) Explain with the aid of a sketch how this value can be confirmed…

A: Follow the procedure given below.