Use the intermediate value theorem to determine whether the function f(x) =x + 6x-8 has a root or not between x=1 and x=2. If yes, then find the root to five decimal places Does the given function have a root between the interval [1, 2]? If yes, then find the root. Choose the correct answer below. O A. Yes, the given function has a root between [1, 2] and the root is (Type an integer or decimal rounded to five decimal places as needed) B. No, the given function has no root between [1, 2]

Q: Find the exact value of the expression. cos(160°) cos(25°) + sin(160°) sin(25°)

A:

Q: a. Use integrals to show that the circumference of the circle z2 + y? = a² is 27a. %3D b. Find the l...

A: Given that equation of circle x2+y2=a2center of circle 0,0  and radius =aSolution :x2+y2=a2y=±a2-x2o...

Q: 1 Evaluate the following integral. dx X4V9-x2

A: ∫vn dv = vn+1n+1+C

Q: Jo 17. cos² x sin? x dx

A:

Q: 2+x, x<2 16-x, x22 21. Determine whether the function g(x) is continuous at x-2. a Continuous b. Dis...

A:

Q: Q3/B/ Find the value of unknown in the following 1 -2 7 9 5 6 ? 3 ? -2 7 1 6 1 -2 7 +4 ? 1 - 5 6 -3 ...

A:

Q: systems of algebriac equatons 4X- 3y +5Z= 34 2X-y-Z = 6 X + y+4Z = 15 X = 4 ans y = -1

A: Solving system

Q: Find the area of the triangle with vertices P(1, 4, –2), Q(0,0,0) and R(4,5, 1). NOTE: Enter the exa...

A: We can find the area as below.

Q: Let f(x) = 2x2 – 8x + 14 The slope of the tangent line to the graph of f(x) at the point (2, 6) is T...

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the ...

Q: Given g(x) ニ X-1

A: We know that, g'(x)=limh→0g(x+h)-g(x)hHere g(x)=1x-1Therefore g(x+h)=1x+h-1Thereforeg'(x)=limh→01x+h...

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)?, and passing throu...

A:

Q: Use the method of variation of parameters to find a particular solution of the following differentia...

A:

Q: 1 Find an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the equa...

A: To find the equation of tangent.

Q: y = e2x, y = e*, and x = 2

A:

Q: Let f(r) = V7 2. Compute f'(3) using the limit definition %3D f'(3) 3D Find an equation of the tange...

A:

Q: (2) Find the value of B (,-)

A:

Q: B. Directions: Using special functions, evaluate the following:

A: Question 1,Given,           limx→0sinlnx5lnx

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b). (Select all tha...

A:

Q: Calculate the integration from the following figure y 2 y=x-4 A

A: To evaluate the integral for the region shown  

Q: . if võ =o, i =1 and Ju = 2 estimate 13 %3D by constructing Logrange polynamial, Itn with the exact ...

A:

Q: Evaluate the following integral. | e2%cos3x dx

A: LetI=∫ e2xcos3xdxApply integration by partI=e2x∫cos3xdx-∫ddxe2x∫cos3xdxdxI=e2xsin(3x)ddx(3x)-∫e2xddx...

Q: a Fate of change, r' (t) for the radius of Ralloon A over the time interval 0 <t < 10. t (minutes) 4...

A:

Q: Find the vector component of v = (4, – 1,7) along b = (4, 8, –8) and the vector component of v ortho...

A:

Q: Let a = ci + jand b = 5i + 12j. Find c so that the angle between a and b is- %3D Round your answers ...

A:

Q: (6) Shipping fees (or shipping charges) are often based on a formula that offers a lower charge per ...

A:

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

A:

Q: Find the indefinite integral using the substitution x = 4 sin(0). (Use C for the constant of integra...

A:

Q: Six and one-half foot-pounds of work is required to compress a spring 6 inches from its natural leng...

A:

Q: 2. The function f in |f(x)dx = F(x)+C is called A. integral B. derivative C. antiderivative D. integ...

A:

Q: 5. Which of the has a domain of (-0, +o)? a. f(x) =x b. f(x) = x? c. fx) =x d. f(x) =x* 6. Given the...

A: Use the basic property of function and composition of function. 

Q: 1: Find the area of the region bounded by the graphs of x = y², y = x + 3, y = -3 and y = 2.

A: The region is bounded by x=y2, y=x+3, y=-3 and y=2

Q: Evaluate the limits analytically sin rte –1 A. lim,-→0 I COS I

A: Find your answer below 

Q: ity 5: Do what is asked. Show neat and complete solutions on your answer A Norman window is construc...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: How can we determine this unit circle by filling them?

A:

Q: Fg(x) = 1 Vx-1

A:

Q: 2х2-8х+7 x 0 х-бх3

A: The given function is: f(x)=2x2-8x+79x2+5x-3, x≤0-4x3+6x2-15x-6x3, x&gt;0

Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A:

Q: Consider the points A(1, -1, 2), B(2, –3,0), C(-1,-2,0), and D(2,1, –1). (a) Find the volume of the ...

A: Here, the given vectors are: A(1,-1,2), B(2,-3,0), C(-1,-2,0) &amp; D(2,1,-1) (a) Here, AB=(2,-3,0)-...

Q: Find F'(x) if F(x) = cot¬13

A: A detailed solution is given below

Q: continuity

A:

Q: 2x2 x2 –1 and horizontal asymptotes of the given (7) Let f(x) = Find the vertical function. Show the...

A: For vertical asymptote Take f(x) tends to infinity.  For horizontal asymptote take x tends to infini...

Q: B - Find the equation of the curve whose slope at any point p(x.y) is m = x(x+5)² , and passing thro...

A:

Q: x5 dx (36x2 + 1)7

A: Let I = ∫x536x2+132dx Take x2 = t⇒2dx = dt ⇒I = 12∫t236t+132dt

Q: Evaluate the following integral. | e2* cos3x dx

A:

Q: Evaluate the given integral, choose the answer in the box 1/(t-1) 2x S(-1)^5(x-1) -2/(x-1)^2 2/(t-1)...

A:

Q: C. Given: ΔΤΑΝ-ΔΤKJ 1. If TJ = 8cm, AN = 10cm and TA = 12cm. Find TN and KJ 2. TN = 5x -7cm, TJ = x ...

A:

Q: Let 1 f(z) = I - 3 Use the limit definition of the derivative to find (i) f'(– 1) = (ii) f'(2) = (ii...

A: Solution is written in below steps.

Q: - Trig Sub x5 dx (36x2 + 1)ž

A:

Q: Find the vector component of v = (4, –1, 7) along b = (6, 6, –7) and the vector component of v ortho...

A:

Q: CSC r+ sec x Express in terms of sine and cosine. cot x + tanr

A: We know that  cscx=1sinx  , secx=1cosx  , cotx=cosxsinx  and tanx=sinxcosxSubsituting in cscx+secxco...