Find all real numbers  x such that  x^6−3x^3−18=0. Give your answers in increasing order.

Q: Imagine yourself drawing series of equilateral triangles in a given equilateral triangles by…

A: Given: . The perimeter of the given triangle is 24 feet.  Suppose the ink of your pen can print a…

Q: Solve the indefinite integral

A: Given,          ∫x3ex2x2+12dx

Q: Use a linear approximation to approximate √48.

A: Here we have to find the square root of a number, so we take function f(x) = sqrt(x).   The linear…

Q: please take the first and second derivative of this function:    cube root of x^2 - (1/cube root of…

A: First express the expression with exponents of x.

Q: How do you solve this integral of 3 sec(2x-1)tan(2x-1)?

A: Given integral is We will use the following substitution to evaluate the integral.

Q: Tangent

A: Tangent in geometry   A line that touches the circle at a single point is known as a tangent to a…

Q: Use differential to estimate the value of 124 and give your answer correct to 3 decimal places.

A:

Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: How do I solve the indefinite integral of x3e-x^2/2dx

A:

Q: 4-(+ズ)

A: In the given question we have  to write the given function  into the series form. In the question…

Q: dx Tx-1 4

A:

Q: uniro uted between ciusiv ility that a person waits exactly 5 minutes.

A: Answer:

Q: Use Fixed-Point Iteration Method to obtain a real root of x^3-5x+1=0 with x₀=0 until absolute error

A: Solutions

Q: Find the root between [-1,0] where \( f(x)=(x+2)^3+2x-5 \) with error \( \epsilon=0.1\) by using…

A: given equation is fx=x+23+2x-5interval -1,0find the root of an equation by using false position…

Q: find integral 1 / sqrt ( 9x 2 +6x - 8 ) dx

A: Given: I=∫dx9x2+6x-8 for evaluating given integral, first we convert given integral in standard form…

Q: Find the derivative f(x)= In(ex+9)

A: find the derivative

Q: Use Intermediate Value Theorem to show that the equation

A:

Q: 3x ン

A:

Q: Find the indefinite integral ∫tan5 x sec4 x dx

A: Given:∫tan5(x) sec4(x)dx

Q: (f°9)(x) if f(x)=2x3 +1 and g(x)=6x +5

A: We have to find the composition of the function then have to find the second order derivative.

Q: 2Xin 2. O dy/dx if

A:

Q: tangent

A:

Q: Give 5 examples of definite integral with solution

A:

Q: Int(sqrt(4-x^2))

A: Substitute x=2sin(u) ⟶ u=arcsin(x/2)dx= 2cos u du

Q: . Find the product of approximate numbers x, = 2.35 and x, = 20.3546 all of whose digits are valid.…

A:

Q: 3 26x° + 600 dxr

A:

Q: Find the indefinite integral and check the result by differentiation. 10x 5 -

A: To find the integral we use integration by substitution method.

Q: Use the graph to estimate the open intervals on which the function if increasing or decreasing, Then…

A: Given that: The equation of the function f(x) =1(x+1)2 . Graph:

Q: Solve the integral| 7. tanz x sec4 x dx

A: Let I=∫tan52 x sec4 x dx. First, rewrite this integral as the following. Use the identity…

Q: 3 sin3xcosxdx (COSX

A:

Q: Find the indefinite integral and check the results by differentiation 4x² + 3)²dx

A:

Q: Eliminate The Abritrary Constant

A:

Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

Q: If f(x) =>(1- (sinx)²)" .Determine the value of f)

A: use the trigonometric identities to simplify and the solve. detailed explanation is in step 2 answer…

Q: Evaluate ( Sech²(In x) dx

A: In this question we will use basic of calculus i.e concept of integration. First we will convert the…

Q: Use a linear approximation to estimate the number sqrt9.1  .

A:

Q: obtain a real root of a“ – 5x+1=0 with a = 0 until absolute error < 0.0001

A:

Q: show that sinx less than x if 0 less than x less than 2pi

A: Assume that, fx=x-sinx Differentiate f (x) w.r.t. x, f'x=1-cosx=2sin2x2

Q: Solve for x: tanax=-1 -atanx

A:

Q: Explain mathematically how the Fundamental Theorem ofCalculus is used to evaluate definite…

A: Solution:- Fundamental theorem of calculus

Q: 4. S(x – 4)(x – 1)dx

A:

Q: if X #0 メ=ロ Frnd continuous

A: given the function fx=xx if x≠00   if x=0 we know that x=x if x&gt;0x=-x if x&lt;0 therefore,…

Q: 2х+ 3 dx x´ +3x +5 Jo 3/

A:

Q: Find the approximate value of  4th root of 82 using approximate formulas. Round off your answer to 6…

A: We have to find the approximate value of 4th root of 82 using approximate formulas. 4th root of 82 =…

Q: Please show exact work on how to solve this.

A:

Q: Evaluate the definite integral and show complete solution

A:

Q: solve the definite integral

A:

Q: 3-sinx 6. f(x) = 1+ In(x3 — х)

A: Quotient rule of differentiation: Chain rule:   also

Q: Solve the indefinite integral:

A: Given:

Q: Find the root between [-1,0] where f (x) = (x+2)³ +2x– 5 with error epsilon=0.1 by using False…

A: The false position method uses the formula below to perform the iterations.…