Sketch the graph of a function g with the property that g'(x) <0 for x < -3 and g'(x) > 0 for x > -3. Choose the correct graph below. ○ A. О в. ○ C. ○ D.

Q: A medical researcher believes that the human immune system produces antibodies to a particular…

A: The rate of antibodies production is given as Integrate N'(t) with respect to t.

Q: Please mark the answer clearly

A: a)  9t + sin(3t)U(t − 2π) + e8(t−4π)U(t − 4π)b) F(s) = s29​+s2+93​+s−8e−32π​Explanation:a) To…

Q: Evalute the following integration: (x-4)dx x²-2x-15 x+9 X+9

A:

Q: The normal to the curve: y = 12 has a gradient of -0.2 when x = 2. What is the value of a? - a x 88

A: Need to find out the value of a.

Q: A calculator may not be used on the following questions. A particle moves in the xy-plane for values…

A: The value of t is 1.5, 2.5 and 3.5 only. Option a. is correct.Explanation:Steps and explanations are…

Q: 2. Use the Direct Comparison Test to determine if 1 + sinn converges or 10" diverges. Show all…

A: The objective of this question is to determine whether the given series converges or diverges using…

Q: QUESTION 3 Find the value of for which the average value of f(x)=3x²-8x+3 on the interval [0,b]…

A:

Q: Given sin(x) = =- -2√17 O 81 -16/17 о 81 -8√5 O 9 16/17 0 81 2/17 81 89 with 180° <x<270°. Find…

A:

Q: Consider the function f(x)=5-3x^2,  -4≤ x ≤2. What is the  absolute maximum value? Where does this…

A: The objective of this question is to find the absolute maximum and minimum values of the function…

Q: A tank contains 200 gallons of water in which 300 grams of salt is dissolved. A brine solution…

A: The initial value problem for A(t) is .To find the amount of salt in the tank at time t by solving…

Q: HELP ASAP

A: The answer is given below.Explanation:

Q: Set up the integral needed to find the volume of the solid of revolution generated by rotating the…

A:

Q: find f if f''(x)=2+cos(x), f(0)=-10, f(pi/2)=-8.

A:

Q: Please answer parts a and b to the following problem

A: The objective of part (a) is to identify the errors in the proposed proof that uses the direct…

Q: III) For the following exercises, graph the polynomial functions. Note x- and y-intercepts,…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: Consider the function f(x)=10 root x +10 on the interval [2,5]. Find the average or mean slope of…

A: Therefore, the required answers are a) The average slope is m=310​(5​−2​)=2.739514717088982158b)…

Q: The area inside the polar curve r = 6+ 3cos (e) is ... (round your answer to three decimal places)…

A: the answer of this question is option b 127.235Polar function is the function that are represented…

Q: Homework

A: Volume V = 58.9049 Cubic unitsExplanation:Step 1: Step 2: Step 3:

Q: 2. Find absolute extrema of the function f(x,y) =x³ – 3xy +y³ on the region bounded by the following…

A: The final answer is given in steps.Explanation:Step 1:Step 2:Step 3:

Q: Consider the function f(x)=2x^3-12x^2-30x+2 on the interval [-6,10]. Find the average or mean slope…

A: The answer is given below.Explanation:

Q: Given that vectors = (3,5) and = (x, 1) are orthogonal; find the value of x. 05 56 53 O O

A:

Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

A: The objective of the question is to find the slope 'm' of the tangent line to the function f(x) =…

Q: Explain how to solve question 6 in steps.

A: x=-1, x=1 &amp; x=3Explanation:If a function is differentiable at x=a, then at that point function…

Q: Evaluate the triple integral xyz² dv, where B is the rectangular box B = = {(x, y, z) | 0 ≤ x ≤ 1, −…

A: I=∭Bxyz2dV,B={(x,y,z)∣0≤x≤1,−1≤y≤3,0≤z≤2},

Q: 6

A: Area = 7.0759Explanation:NOTE: We will use radians in this problem. The hint mentions the two parts…

Q: Determine whether b is in the column space of A, and if so, express b as a linear combination of the…

A:

Q: Find the equation of normal to the function f(x)=x3−3x+1�(�)=�3−3�+1 at its local maximum point.

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: Help with cal question

A: The center of circle is (-4.5,0.5) The radius of circle is 4.8477Explanation:

Q: Find the equation of normal to the function f(x)=x3−3x+1 at its local maximum point. I want a HUMAn…

A: The objective of this question is to find the equation of the normal line to the function f(x) = x^3…

Q: lim n-α (+)

A: We solve this limit by using L' Hospital rule.

Q: Homework

A: −63.22​Explanation:ANSWER : ​​

Q: Write the following limit as a definite integral on the interval [5, 11], where c; is any point in…

A:

Q: So D 2e/y dA where D = {(x, y)|1 ≤ y ≤ 2, y ≤ x ≤ y³} What is the value of 2e4 Oe-2e 4e Oe-4e None…

A:

Q: A Evalute the following integration: . W (x-4)dx x²-2x-15 X+9 de (x²-1)(x²+4) A = -1 R= (=0 D=4 X+9…

A: The objective of the question is to evaluate the given integrals using the method of partial…

Q: Given that y = mx - 8 is a tangent with a positive slope, to the function f(x) = x²-6x + 8, find the…

A: The objective of the question is to find the slope 'm' of the tangent line to the function f(x) =…

Q: Find the interval of convergence of the power series. is a finite set of values, enter your answers…

A: Interval of convergence: (−2,14]Explanation:

Q: 3. SALES The monthly sales at an import store are currently $10,000 but are expected to be declining…

A: The monthly sales at an import store are currently $10,000 dollars but are expected to be declining…

Q: Homework

A: ∫∫R​12xdA=1962​≈277.18Explanation:Step 1:Step 2: Step 3: Step 4:

Q: Given vectors = (5,-3) and = (-3, -6); find 4ū O=(12,32) ού = (8, 36) οὐ = (-32, -12) 0 = (32, 12) ο…

A: The objective of this question is to find the result of the scalar multiplication of the vector u by…

Q: Let f be defined as follows. y = f(x) = x² - 3x (a) Find the average rate of change of y with…

A: given function

Q: Using triple integrals, set up the iterated integral that would determine the volume of the solid…

A:

Q: Given that vectors = (5,-3) and (2,-5) are orthogonal; find the value of 3 0 2 03 O −15 O −3 O 15 O…

A: x = -3 is the answerExplanation:

Q: Let y=sin(4x). If Δx=0.4 at x=0, Find the percentage errorerror =  %

A: The objective of this question is to find the percentage error in the value of y = sin(4x) when Δx =…

Q: 6

A: 4374πExplanation:

Q: on 1. Solve the systems of linear equations that have been reduced to the following matrices:…

A:

Q: 14. cot4 2x dx

A:

Q: If f(x) = 2. e*, find f'(1).

A:

Q: Precalc Question

A: THE ANSWER IS IN THE EXPLANATION PART.FEEL FREE TO ASK ANY OF YOUR DOUBTS AND COMMENT IF YOU FACE…

Q: I am needing assitance with the problem in the attached image, 3.5.

A: f′(t)=−4t−9Explanation:

Q: A company that produces cell phones has a cost function of C=4x^2-46x+17033, where C is the cost in…

A: X=5.75 thousand phone produced will minimize CExplanation:If you have any problem let me know here…