x²+5 g(x): if = x+8 *x*-8 ; g(5) x-1 if x=-8

Q: Give your final answer in interval notation. Determine the intervals where the graph of f(x)=x+3/x…

A: To determine the intervals where the graph of  is concave upand concave down.Note: Since you have…

Q: b Question 4) If f(x) is a continuous function on [a, b], then √ f(x)dx = f(b) – ƒ (a) f(x)dx = } a…

A: To provide counter example for given false statements

Q: 2) Examine the function (5) y= tan X XI2 1 Now approximate the slope of the tangent at x = 2.…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The problem involves finding the dimensions of a lidless square-based box with a volume of 4000 cm³…

Q: Find the maximum and minimum values of the function g(0) = 30 – 8 sin(0) on the interval [0,π]…

A:

Q: Given the differential equation below, find the solution using Laplace transformation. The…

A: The objective of this question is to solve the given differential equation using Laplace…

Q: Given f(x,y,z) = x²y³z+ye -√4-x², find the first order partial derivatives f₁, f, f

A:

Q: Verify that the following functions are inverses of each other. Clearly show the proofs! f(x)=2e1x+4…

A: f(x) and g(x) are inverse of each other Explanation:

Q: C. Find the equation of the plane that passes through A(1,2,-1) and parallel to the plane - -x+y z =…

A: The given equation of plane is  and the given point is .

Q: Evaluate the following double integral: x2 SL √x² + ydzdy. 0

A:

Q: Consider the logarithmic function: = g(x) 3 log2(1-x) - 6 a) State the range of this function in…

A: a) (−∞,−6)b)  x = 1c) (−∞,1)Explanation:a)To find the range of the function (g(x)=3log2​(1−x)−6),…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Please refer below page.If you have any doubts please feel free to ask.Explanation:Step 1: Step 2:…

Q: Given the updating function as shown below, find the first three values of the sequence when the…

A: 1) x_1 = 10,x_2 = -38,x_3 = 154 2) Pe= -4, 2Explanation:To find the first three values of the…

Q: 11. Compute (fog)(x), (fog)(-2), (go f)(x), and (go f)(-2) for each pair of functions. (a) f(x) = x²…

A: (a) :(f o g)(x)  = 9x2-21x-6(f o g)(-2) = 72(g o f)(x)   = -3x2+9x+14(g o f)(-2) = -16 (b)  :(f o…

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: The resultant speed of the airplane is 801.783 km/h along the 85.02o from the x-axis.…

Q: Evaluate the integral. } [(51²) i+ [(5t²) i+ (5)j +(3t+3)k] dt 0 [(51²)+(5) (5t²) i + (5)j +…

A: The Basic Integral formula is given as follows

Q: 4. Let A, B and C be subsets of the universal set U. Draw the Venn diagram for (CUB)N(Ā-C). U C B

A:

Q: Express log,A, where A 14 4 3 , , in terms of the logarithms of prime numbers. log₁A = √20 7 148

A: Let me know if you have any doubts. Please rate my answer.Explanation:Step 1: Step 2: Step 3: Step…

Q: The demand curve for original Iguanawoman comics is given by q =  (398 − p)2 50       (0 ≤…

A: Ep = - 0.2 (has been rounded off) Explanation:

Q: (a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1,…

A: for question a see the attachment for explanation and answerafter plotting the points on the graph…

Q: Problem 1. Prove Theorem 6.14 which is given below. Theorem (Second Derivative Test). Suppose that ƒ…

A: Theorem (Second Derivative Test). Suppose that f:R→R is C3 in a neighborhood of a critical point…

Q: Find all solutions to the quation. sin 0 = 2 Write your answer in radians in rms of it, and use the…

A:

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS PLS

A: Global maximum at (2.5, 5) of 31 Global minimum at (0, 0) of 21Explanation: Given that, maximum : In…

Q: f(x, y, z) = √x + yz, P(1, 1, 3), u = (a) Find the gradient of f. Vf(x, y, z) = < (b) Evaluate the…

A: A) "&gt;&lt;2x+yz​1​,2x+yz​z​,2x+yz​y​&gt;B) "&gt;&lt;41​,43​,41​&gt;C)2815​Explanation:

Q: Hey can you help me with this question

A: The objective of the question is to find the values of x for which the given series converges and to…

Q: NOTE: When using interval notation in WeBWorK, remember that: You use 'INF' for ∞ and '-INF' for -∞.…

A: a) concave up  DNE    Concave down (-inf , inf)b). DNEc) Relative Maximum x=-1     Relative minimum.…

Q: 29 Find the area under the curve y = from x = 1 to x = t. Evaluate the area under the curve for t =…

A:

Q: +0+x (4) lim xx

A:

Q: A drone takes 50.3 seconds to travel 400 metres. Calculate the average speed of the drone. Give your…

A: A drone takes 50.3 seconds to travel 400 meters. To calculate the average speed of the drone.

Q: Find four intervals on which f is one-to-one, making each interval as large as possible. Four…

A: Given graph of function f(x) to find the intervals on which f is one to one

Q: No hand written responses. Please provide a step-by-step breakdown for each step in laymens terms…

A: f'(x) of the function:f′(x)=−40x+17 The equation of the line tangent of f(x) at x = 1…

Q: 2 sin x+3sx=3 Write your answer in radians in terms of π. If there is more than he solution,…

A: c

Q: 2 Find the point on the sphere x²+ y²+z²=4 farthest from the point (1,-1,1)? ans.i- 2 (금) v i

A: Let the point  on the sphere which at largest distance from the point By using distance formula Let…

Q: 3. Use the method of shells to calculate the volume that is created when the following area is…

A: The exact volume is 92π(sin3−3cos3​ which is approximately equal to 2.17.Explanation:Steps and…

Q: Vector-valued functions (VVF) r(t) = VVF Point P t value (for point A) 1 t²i + √√4 − t j + √√t+1k…

A: Answers: 1. The domain of a vector-valued function consists of real numbers. The domain can be all…

Q: Find the exact length of the curve √x = 1 + 6t² y = 6+4t³ for 0 <t≤4

A: Answer:   6817​−4Explanation:For any query with the solution please ask in the comment box.

Q: Find the average rate of change of y with respect to x from P to Q. y= x²+ 7; P(5, 32), Q( 5.1,…

A:

Q: Problem 3. Show that the volume of the largest parallelpiped (i.e., rectangular prism with sides…

A: V = 8abc / 3√3Explanation:Here's how we can find the volume of the largest inscribed…

Q: If A then 76 = 2 3 A-1 --- [88]

A: The objective of the question is to find the value of A from the given equation 76 = 2 * 3 * (A -…

Q: Find the second partial derivatives of the function f(x, y) = x³ ³ + 2x²y. дх² = If 2. 3. 4. дудх…

A:

Q: The center A and the radius R of the following sphere x² + y² + z² - 2x - 2y2z1 are Ignore "Give…

A: The given sphere is, , we have to find the radius and center of the sphere.Standard form of a sphere…

Q: Use the equations OF JF дг дх Əz ду and дх OF ду OF dz Əz Əz მz to find and дх ду ez = 6xyz II || მz…

A: ​∂x∂z​=ez−6xy6yz​∂y∂z​=e2−6xy6xz​​Explanation:Step 1:​Given an implicit function.ez=6xyzTo find: The…

Q: Given log x =α, logx x =ẞ, log¸x =y, log¸x = 0, and x 1, find log abcd empt left to earn the full…

A: Thus, \log_a(abcd) = 1 + \frac{1}{\beta} + \frac{1}{\gamma} + \frac{1}{\theta}.Substituting these…

Q: Assuming that the domain of the function is the largest possible subset of R (the set of real…

A:

Q: Consider the following higher degree polynomial function f(x): = -2x² (5-2x) (x² + 1) . d) State the…

A: DETAILED SOLUTION IS PROVIDED BELOWExplanation:…

Q: A model for the surface area of the human body is given by the function S = f(w, h) = w0.425 0.725,…

A: The required answer is 0.4997Please find the attached file for details...Thank you...Explanation:

Q: Solve the following initial value problem for r as a function of t. dr Differential equation: =(2…

A: Given:To find:r(t)

Q: 1 2x STAR -1

A: y(x)=1e2x−1dydx=ddx1e2x−1Using the Chain Ruleddxf(g(x))=f′(g(x))g′(x)Using the power…

Q: Evaluate the integral. π/2 0 [5 cos 17t i-4 sin 7t j + sin² 5t k] dt л/2 [5 cos 17t i-4 sin 7t j +…

A:

Q: Let f(x,y) = x2+2xy-2y2-10x. What are the critical points, and the saddle point(s), local…

A: ​Saddle point at (310​,35​)No local maximum, No local minimum​Explanation:Step 1:​Given a…