Write an equation for the function graphed below.

Q: Q2 C7

A: Step 1:To solve the given differential equation:dtdb​+mb(t)=mWe can use the separation of variable…

Q: Explain how to solve this question with steps.

A: All steps given below.  Explanation:

Q: I am needing assistance with the equation(s) in the attached image, 3.11.

A: a. S(t) = -16t + 1302    v(t)  = -32t b. -48 ft/s c. -32 ft/s    -64 ft/s d. 9.021 s e. 41.021 ft/s…

Q: A ball of radius 16 has a round hole of radius 4 drilled through its center. Find the volume of the…

A: Given:Radius of a ball, R=16.Radius of round hole drilled, r=4.

Q: Let be the vector with initial point (8, 1) and terminal point (6,5). Express as a linear…

A: The objective of this question is to express the vector v as a linear combination of the standard…

Q: y= -3 Cos (2π - 5x ) -1 , determine : • period , amplitude, range • three maxima • four minima…

A: Please see the attached images for a full solution. Thanks.Explanation:

Q: Problem #4: The inverse Laplace transform f(t) = £¯¹{F(s)} of the function e-³(8s-7) F(s) +16 is of…

A:

Q: Calculate the average rate of change of the given function over the given interval. Where…

A: The objective of this question is to calculate the average rate of change of a function over a given…

Q: Let g be the function given by g(x) = x²ex, where k is a constant. For what value of k does g have a…

A: A real-valued function  f(x) of one variable x has a critical point at x=a , if the function is not…

Q: 7

A: The value of m = 2 so that the given matrix C is not invertible.Explanation:

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

A: The objective of this question is to find the equation of the normal line to the given function at…

Q: 12

A: The volume of the solid generated is 7,776π unit3 or 24,429.02 unit3.Explanation:Step 1: Rewrite the…

Q: Find the first four nonzero terms of the Taylor series for the given function about x = : 0. f(x) =…

A: The answers have been provided.Explanation:

Q: Find the critical numbers of the function f(x)=12x^5+45x^4-100x^3+7 and classify them. Round your…

A: The critical numbers of the function are x = 0,  x=2−3+29​​​​ or x ≈ 1.193 , and x=2−3−29​​ or x ≈…

Q: Find the first four terms of the Taylor series for the function 2 tan(x) about x = П 4

A:

Q: [2] (a) fe In (x²) dx (b)²x² In(x) dx

A:

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

A:

Q: Q4 C7

A:

Q: A baseball diamond is a square of side 90 ft. A baseball player runs from a home plate toward the…

A:

Q: Average Cost Jesaki Water Sports incurs the following costs in producing water ski vests in one day,…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: == 6. Set up the integral that finds the area enclosed by the curves r = 0.5y2-3 and x = y + 1, then…

A:

Q: Given the function f(x) = 10 log(x + 3), find the area of the region bounded by the graph of y =…

A: Given: To Find: To find the area of the region bounded by the graph of , the x-axis, and the line .

Q: Show that the stationary paths of this parametric functional are given by the solutions of the…

A: Final answer of the given question is attached in the explanation section.Explanation:

Q: f(x) x-2 g(x) Use the graphs of f and g and their tangent lines at (2, 0) to find lim y 2 1 y = 1.9…

A: Step 1:From the graph of f(x) and g(x), we can see that f(2) = g(2) = 0limx→2​[g(x)f(x)​]→00​ form…

Q: 3 Given is an acute angle such that sin(0) Find the value of tan 5 tan (0-1) 1 O 7 07 01 O-1 3 7 O…

A: Look at the below attachmentExplanation:Step 1: Step 2: Step 3: Step 4:

Q: Consider the function f(x,y)=2xy-1/2(x^4-y^4)+1 (a) Find all critical points of f(x,y). Once…

A: Hello Dear,I hope the following information will help you in understanding the…

Q: Average Cost Graph The total daily cost (in dollars) of producing a mountain bikes is given by C(x)…

A: To find the value of c where the average cost is minimized, we first need to find the average cost…

Q: I need help with this?

A: The objective of this question is to determine which pairs of the given vectors are perpendicular.…

Q: A S S : In triangle ABC, m/A=30°, AB=4 and AC = 6. Find the length of BC.

A: If you have any problem let me know here in comment box for this thankyou.

Q: I am needing assitance with the problem in the attached image, 3.2.

A: DNE ( does not exist)Explanation:Step 1:To find the one-sided limit as x approaches 2π​+ from the…

Q: Evaluate the integral. || [2x¯ = 5e³] dx = +C

A:

Q: The unemployment rates in a certain region for the years 1994-2014 are shown in the graph. Find the…

A: We are given the graph and we need to find out the average change for the given years.

Q: (1) Evaluate the iterated integral by converting to polar coordinates. 2√2x-x2 x² + y² dy dx

A: A given integral We have to integrate it by converting it in polar coordinates

Q: Find the exact length of the polar curve described by: 4e-0 r = 4e 5 on the interval T≤ 10

A: The objective of this question is to find the exact length of the polar curve described by the…

Q: A street light is at the top of a 12 ft tall pole. A woman 6 ft tall walks away from the pole with a…

A: Illustrate the given situations as shown. Let AB represent the pole, and CD represent the woman.…

Q: Determine whether the sequence converges or diverges, if it converges, find the limit. √1+4n2/1+n2

A:

Q: In this problem you will calculate the area between f(x)=2x^2 and the x-axis over the interval [0,5]…

A: The objective of this question is to calculate the area under the curve f(x) = 2x^2 from x = 0 to x…

Q: dw Use the chain rule to find dt w = In√√√√x² + y² + z² + z²), x = 7 sin(t), y = 4 cos(t), z = 3…

A: The objective of the question is to find the derivative of w with respect to t using the chain rule.…

Q: Explain fully for better understanding. See image attached. Thank you

A: The objective of this question is to find the time at which the maximum velocity of the target…

Q: 19

A: The answers have been provided.Explanation:

Q: VI) For the following exercises, find the y intercepts, th or slant asymptote of the functions. Use…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: be a real constant with y² 1 for the parametric functional Let dt S[x, y)] = [ª åt [√ä² + 2y àý + y²…

A: Dear student,Part 1: Answer:The stationary paths of the given parametric functional are given by the…

Q: Let f(x, y) = 1 + 2x² - cos(5y). Find all critical points and classify them as local maxima, local…

A:

Q: Find volume V. Use cylindrical or spherical coordinates.

A: Final SolutionSo, the volume V of the solid region inside the cone z=r and between the planes z=1…

Q: 1. Given the below graph of f(x) = f(x) = x2 x-2 a. As x-co, f(x)→ b. As x 2, f(x)→ x 3 4 5 6-7 C.…

A: We need to determine the values of f(x).

Q: A 500-gallon tank contains liquid that is 10% alcohol (the tank is full). A 50% alcohol liquid…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the volume between the surfaces using double integrals in polar coordinates: z = x2+y2+3, z = 0…

A: Summary:The volume between the surfaces is 7π​/2 cubic unitsExplanation:Here's the step by step…

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: 1. Use the Limit Comparison Test to determine if diverges. Show all appropriate work. 1M8 converges…

A:

Q: Use the graph to find the following limits. a. lim f(x) X-➡-1 b. lim f(x) x-1 a. Find lim f(x) or…

A: By using the graph to find the following.