Rolle's Theorem can be applied to f (x) = x - 3| on the interval [-2, 8]. O True O False

Q: Find a unit vector in the direction in which 2 f(x, y, z) = 4x³z² + 4y³z + 4z - 1 increases most…

A:

Q: a. Graph the function f(x)=x² - 4x +3. b. Identify the point (a,f(a)) at which the function has a…

A:

Q: Find an equation of a sphere if one of its diameters has endpoints  (1, 4, 6) and (3, 8, 8).

A: Here we have to find the equation of a sphere.

Q: When an object is dropped on a certain earth-like planet, the distance it falls in t seconds,…

A: The function is  s(t)=17t2 a) At t= 3 second S(2)=17×(2)2 S(2)=68 ft so , the the hammer will fall…

Q: Let v = (1, 4, 2) and w (a) 20 - 4w = (-2,24,4) (b) Let s = t = 14 = (1, - 4,0). (t, 1, 0). For…

A: Given :v→=1, 4, 2w→=1, -4, 0

Q: 4-y -42-√ lim y

A:

Q: 1. (a) By reading values from the given graph of f, use five rectangles to find a lower estimate and…

A:

Q: Given the right triangle shown below with one non-right angle of 59 degrees and hypotenuse of length…

A:

Q: 10. The graph of the quadric surface 4x² - y² -z = 1 is a/an

A:

Q: y=-2(x + 5)² y = -2(x - 5)² y = 2(x - 5)² is the equation of the parabola with vertex (0,4) and…

A: Topic:- geometry and parabola

Q: (-1)n² n² n³n+2 lim n→∞ n³

A: limn→∞(-1)n2n2n3-n+2=?

Q: \Prove the derivative for: (x+6)2(x-2)² (x+3)2(x-1) 7x+34x² +23x²-244x+12 6x+6³x(x²+6x+9) (x-11²…

A: Given: fx=x+612x-22x+332x-1To prove:…

Q: 3 Let f(x) = (x³ + 4x + 7)³. Compute each of the following. f'(x) = ƒ'( − 2) =

A: given  f(x)=(x3+4x+7)3  we know  d(xn)dx=nxn-1d dx(constant)=0

Q: Use the 2 solutions Bernoulli's equation y' + y x -√y=0

A:

Q: The position function of a particle is given by r(t) = (-51², 5t, t² + 4t). At what time is the…

A:

Q: O y 24 14(x-4) =

A:

Q: Find the velocity and position vectors of a particle with acceleration a(t) = (0, 0, 8), and initial…

A: NOTE: Refresh your page if you can't see any equations. . the acceleration vector is  the velocity…

Q: Let a = - 3j and b = 4ỉ + 3j + k. Find 2ā – 36. 36 = 2ā -

A:

Q: Q1: The Trapezoidal rule for f f(x) dx = 5 and Midpoint rule f f(x) dx = 4 .What value does Simpsons…

A: Solve

Q: can you write it and take a picture becasue I am very confused with how it is written

A: The given function is; y=(6x^2-4x)/(5x^2-6)

Q: Where does the line with parametric equations −1+3t y = 2 - 2t 2 = 3+ t intersect the plane 3x + y -…

A: Given parametric equation of line x = -1 + 3t y = 2 - 2t z = 3 + t Given plane 3x + y - 4z = -4

Q: Find f" (x) if f (x) = tan(x² − 1). ○ 2 sec² (x² - 1) ○ 2 sec² (x² − 1) (1 + 4x² tan(x² − 1)) ○ 2…

A:

Q: a) 2e + 5e-3=0 (Hint: let u = e*, and factor the resulting quadratic equation).

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 12. Let s(t) = -5² +40t+ 1 describe a toy rocket's motion as it is launched vertically into the air.…

A: We shall use the fact that the rocket reaches its maximum height when its velocity is 0

Q: 20. a+2 3z + 1 5m 4k 0 0 5m] + [ 3 3a 2k 2z 5 6 5m - [10 10-14 80 5 9

A: Find the variable

Q: Consider the curve y = 5x3. The sketch of the portion of this curve between x = -1 and x = 8 is…

A:

Q: What is the slope of the tangent line to x² cos² y sin y = 0 at the point (0, π)? - 0 -2πT 27²-1 O-1…

A:

Q: Find sin 2x, cos 2x, and tan 2x if sin x = 2 13 and x terminates in quadrant IV.

A:

Q: 3. The figure on the right side shows the circumscribed (big circle) and inscribed (small circle)…

A: Given Data : In the figure we have given thecircumscribe  ( big circle ) and inscribed ( small…

Q: A particle moves along the x-axis so that at time t≥ 0 its position is given by x (t) = 3t³ — 22.5t²…

A:

Q: 3x √e ³x dx

A:

Q: Determine f" if f(x) = √√√x³ + 2.

A:

Q: find the maximum value of p=10x+15y+26 given the following constraints: y-x<=1

A: Find the maximum value of P=10 x+15 y+26 given the following constraints: y-x≤1

Q: Find an equation of the plane that passes through the points (1,5,2) (3, 4, -2), and (-5, 5, 1).…

A:

Q: Act) = 10 [1+0s cos 0+ 0.5 Los 20] dacty ✓dt S ?

A: We know that derivative of constant is always zero

Q: Consider the points A(-4,2,0), B(7, 3, -2) and C(-2, -3, 1). 1. Find a vector of length √6 in the…

A: Solution is given below:

Q: 2. A city block is in the form of a parallelogram whose shorter diagonal AB is perpendicular t side…

A:

Q: Given the function f(x)=2x³ −12x² +30, Determine the stationary point(s) of f(x) = 2x³ −12x² +30,…

A:

Q: Consider the curve defined by the equation y — sin y = x − 1 for 0 ≤ y ≤ 2π Find d²y/dx² in terms of…

A: Solution: To find the second derivative of y with respect to x, we need to first find an expression…

Q: Write the equation of the sphere in standard form. x2 + y2 + z2 + 12x − 4y + 4z + 40 = 0

A:

Q: Prove the identity. (sin x + cos x)² = 1 + 2 sin x cos x

A: We have to solve above question

Q: Without graphing, identify these key features: vertex, axis of symmetry, direction of opening,…

A:

Q: Find the average rate of change of the function f(x) Average rate of change Give an exact answer. =…

A:

Q: Find the volume of the wedge cut from the cylinder x2 + y² = 9 by the planes z 0 and 2 y for y> 0.…

A:

Q: Repeat the approximation using left endpoints. Ln =

A: Given f( x ) = 1x + 3 [ -2 , 3 ]

Q: Find the velocity, acceleration, and speed of a particle with position function r(t) = (-3t sint,…

A:

Q: Solve the initial value problem.. (tan (@y) - 4)dx + (8x sec ²(By) + -] dy = 0, y(0) = 1 The…

A: Given differential equation ( tan( 8y ) - 4 )dx + ( 8xsec2( 8y ) + 1y )dy = 0 Mdx + Ndy = 0

Q: 1. Chemical Acidity In chemistry, the acidity of a water-based solution is measured by the…

A:

Q: What are the exact values of the x-intercepts of the function f(x)=x²-10 - 4? Hint: First write the…

A: