The function f(x) = x³ — 48x has a local maximum at x= , and has a local minimum at x= . Note that here we are looking for the x value (not the range value). Enter a number for each answer.

Q: The equation x² - 2x + y² - 4y + z² - 2z - 10 = 0 represents the equation of a sphere centered at…

A:

Q: Let Y(t) be a population of yeast in a sugar solution that begins with a concentration of 10…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take derivative

Q: Find a vector equation and parametric equations for the line segment that joins P to Q. P(3.5, -1.8,…

A:

Q: Verifying the remiander theorem: Write the function in the form f(x)=(x-k)q(x) + r(x) for the given…

A:

Q: Consider the function f(x) = 4-6x², -5 ≤ x ≤ 1. The absolute maximum value is and this occurs at x…

A:

Q: Find a parametric representation for the surface. the plane that passes through the point (0, -1, 3)…

A:

Q: QUESTION 1 If y(t) is the solution of the initial value problem y" +8y' +25y=0 with y(0) = 0,…

A:

Q: 2.-1 fx(1 + x²³)¯¯¹dx 88

A: Given that ∫-∞∞x(1+x2)-1dx

Q: Write out the form of the partial fraction decomposition of the following function. Do not determine…

A:

Q: A radar gun was used to record the speed of a runner during the first 5 seconds of a race (see the…

A:

Q: 3. Determine the following for the vectors: p = [2, 3, 6], q= [1, 5, 4]. a) p - 2q b) p q c) px q d)…

A:

Q: Solve the triangle. If two solutions exist, find both. Round your answers to two decimal places. B =…

A: Solving the problem by finding the value of <A, <C and b.

Q: If 5x² + 4x + xy = 4 and y(4) = -23, find y'(4) by implicit differentiation.

A:

Q: Find the absolute extrema of the function f(x, y) = x² + y² +x+y+1 on the domain defined by x² + y²…

A:

Q: the full solution didn't show up

A:

Q: Population Movement In 2000 a country's population, broken down by regions, was 53.6 million in the…

A:

Q: Solve the initial-value problem y" + 2y + 10y = 3et+ 7 cos(3t) + et sin(3t), y(0) = 2, y'(0) = -2.…

A:

Q: Find the position of vector if G is the starting point and U is the end point: U = G= O O O

A:

Q: Write each vector in component form. |p| = 85, 60° 0 85, O 85√3 2 0 O 85√3 2 85√3 85 2 3 V

A:

Q: If a=[5,-2,4] and [0,-2,3], find a -16 O [-2,15,10] [2,-15,-10] O [-2,-15,10] 10 xò.

A: a→=[5,-2,4]b→=[0,-2,3]

Q: If vector a = [3, 2, 9] and b = [-4, 7, 2], find a . b. a) a b = 19 b) a b = 12 ● c) a b =-9 d) a b…

A:

Q: Find f'(x). f(x) = 8 sin²x

A:

Q: Suppose a function f(x) is differentiable everywhere and has a local minimum at x=c. If f'(x) 0 when…

A: We have to choose correct option. C is correct option.

Q: 1. Find the 4th order Maclaurin polynomial for f(x) and apply it to approximating f (0.12) a. f(x) =…

A: The given functions, a) fx=e2x b) fx=sin2x We have to find the fourth order Maclaurin polynomial and…

Q: A swimming pool whose volume is 10,000 gal contains water that is 0.02% chlorine. Starting at t=0,…

A:

Q: Find values of x, if any, at which the given function is not continuous. x +3 f(x) = |x² + 3x| Of is…

A: To find the values of x for which the given function is not continuous.

Q: Find the magnitude and direction angle of a vector. Find the magnitude and direction angle of the…

A:

Q: In an arithmetic sequence, the 8th term is 17 and the 17th term is -10. Show all work for each of…

A: We know that  an=a+n-1d where a= first term, d= common difference Given that 8th term is 17 and 17th…

Q: II) Consider and v= 1, 6,0 >. the two vectors u = a) Find u and v. b) Find u xv, u x vand u. v. 2…

A:

Q: Give the equation for the function which would have graph shown below. Use f(x) for the output. مومن…

A:

Q: 2. Use the Limit Comparison test to determine convergence or divergence. 1 Σ n=1 n√√√n+1

A:

Q: Perform vector operations. Let Q=(4,1) and S = (2, -7). Find the component form and magnitude of the…

A: Given query is to find indicated vector and it's magnitude.

Q: d) Find h¹(x) and verify that h(h'(x)) = x and h¹¹(h(x)) = x. 7e.

A: Given h( x ) = x-2x-4

Q: The function given by ƒ(x) = (x² −3)³ has exactly one positive critical number. What is that…

A: Given query is to find the critical point.

Q: List the one critical number of the following function. f(x) = 4x ln(x)

A: f(x)=4xlnxd dx(lnx)=1xd dx(a.b)=adbdx+bdadxfor critical number put f'(x)=0

Q: α. 3 n Σ 4 n=1 |

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find the area of the region enclosed between f(x) = x² – 5x + 10 and g(x) = 2x² − 3x + 2. - Area =…

A: Please see the below picture for detailed solution.

Q: List the one critical number of the following function. g(x) = x¹/³ — x−2/3

A:

Q: True or false: The linear approximation of f(x) = sin(x) at x = L(x) = 1 + cos(x)(x − 4 ) K|N

A:

Q: Writing Assignment 8.1 The Game's Afoot The following is a synopsis of the first part of an…

A:

Q: The number of visitors P to a website in a given week over a 1-year period is given by P(t) = 121 +…

A: Solution: Given data, P(t) = 121 + (t - 83) * e (0.02t) 1 <= t <= 52   P'(t) = d/dt (121 + (t…

Q: Let y = tan(3x + 4). Find the differential dy when x = 4 and da Find the differential dy when x = 4…

A:

Q: 1.2) Complete the P(5,2.5). Tangent Interval point P (5,2.5) Tangent point P (5,2.5) 4≤x≤5 4.5≤x≤5…

A:

Q: Given xy + 2x + 3x² = 1: (a) Find y' by implicit differentiation (leave your answer in terms of x…

A:

Q: 1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7]. -5 -4 -5 -3 N 2 3…

A:

Q: Q.3. Evaluate the following integral 3π 2 √ √sin sin x + 1 cos cos x dx TT

A: Given: I=∫π3π2sinsinx+1 coscosx·dxAim: To evaluate the integral.    Basic information:  The…

Q: The function f(x) = 2x³ - 45x² + 300x and the larger one equals 4 has two critical numbers. The…

A:

Q: Consider the function y = ln (x² + 1). dy dx Find the point on the graph of y = ln (x² + 1) where…

A: y=lnx2+1d dx(lnx)=1xd dx(xn)=nxn-1

Q: f(x) = 3x4 + 5x³6x² + 8x - 3

A:

Q: (A): Use type 5 to solve the ODE =n, (D² +9)y= cosec 3x

A: