Compute the dot product. (Give an exact answer. Use symbolic notation and fractions where needed. (3j+5k) (i8j) = . -37

Q: The following graph of the function f satisfies limf(x) = -1. In the following exercises, determine…

A: Given :- The graph of the function f satisfies with limx→3f(x)=-1 To find :- A value of δ>0 That…

Q: Find the angle between the vectors a = 7i- j - 5k and b = 2i+j - 10k. Answer (in radians): 0

A: given a=7i-j-5k and b=2i+j-10k

Q: 2. A manufacturer wants to make cylindrical cans. Each must be able to hold 1200 cubic cm ofliquid.…

A: Let radius of cylinderical cans=x cm Let height of can =h cm

Q: Please answer and explain

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Q: Determine if Rolle's Theorem and the Mean Value Theorem is applicable on the specified interval. If…

A: Condition to apply Rolle's Theorem and Mean value Theorem 1. Function must be continuous over…

Q: Calculate S3, S4, and S5 and then find the sum for the telescoping series 5=(1+2) n+ S

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Q: Find the vectors T, N, and B at the given point. T = N = B || r(t) = (6 cos(t), 6 sin(t), 6…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

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Q: Use the ratio test to determine whether n2n n=29 (n+2)! Converges or diverges. (a) Find the ratio of…

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Q: Evaluate the integral. π [" 10 3x³ cos(x) dx

A: To solve the given problem, we will use following integration formulae ;

Q: In Exercises 39-42, find dy/dx. - Sv V2+cos³ t dt 39. y = 40. y = -7x² [T²³v 2 V2+cos³ t dt

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Q: .1/3 Let ƒ(x) = x¹/³, and let T₁(x) be the nth Taylor polynomial of f centered at a =

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Q: Find the rate of change of ƒ (x, y, z) = 6xyz in the direction normal to the surface yx² + xy² + yz²…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

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Q: 五 -3-2 5+ -5+ 1 3 6 A H

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

Q: need help with this question: Find the equation of the tangent line to the graph of the equation…

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Q: Find all the second partial derivatives. f(x, y) = xy - 4x5y² fxx(x, y) = fxy(x, y) fyx(x, y) = =…

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Q: Find polar coordinates for each point in rectangular coordinates with a positive radial coordinate…

A: Given :- Rectangular coordinates with a positive radial coordinate and a negative radial coordinate.…

Q: The average value of f(x) on the interval (a, b) is found by using the following equation. 1 fave =…

A: The given function is: f(x)=4x-x2 ;          0, 4

Q: Find the differential of the function. = x ln(y² + 6) dz= Z = ]dx + ( [ Jdy

A: Given: z=xln(y4+6) We are required to find: The differential of the given function.

Q: IV. The dimensions of a closed rectangular box are measured as 10cm, 11cm, and 18 cm with a possible…

A: Closed rectangular box has dimension 10cm , 11 cm ,18 cm. Let , L=10cm , B=11cm , H=18cm…

Q: Evaluate the integral. (Use C for the constant of integration.) [In(√x) dx

A: Short Explanation::-

Q: 2) Suppose the vertical position of an object is y(t) = 32t - 8t², where y(t) is measured in…

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Q: Problems In each of Problems 1 through 11: a. Seek power series solutions of the given differential…

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Q: 1 Use a definite integral to find the area under the curve between the given x-values. f(x) 옳 from x…

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Q: The following graph of the function f satisfies lim value of 8 >0 such that the precise definition…

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Q: Find the derivative of f(x)=x²-3x² +9 final answer with no negative efonents in

A: We know that the derivative of e^(mx) is me^(mx)

Q: Find the first partial derivatives of the function. Əw ди Əw Əv 11 W = Need Help? ev u+v5 Read It

A: Given

Q: Find the following for p =, q =, and r = Find 8r+ 3q Answer: ^ Submit Answer

A: p=-7, -6q=-1, -11 andr=0, 9

Q: Use interval notation to indicate the domain of x + 1 f(x) x² + 10x + 25 = Answer: * E Note: Input…

A: The given function is fx=x+1x2+10x+25

Q: Use the equations to find дz Әх az ду - дz Әх əz Әх = and ƏF Әх ƏF əz and дz ду əz ду x2 - y2 + z² -…

A: x2-y2+z2-6z=7∂z∂x=-∂F∂x∂F∂z∂z∂y=-∂F∂y∂F∂z

Q: PRACTICE ANOTHER Solve the system of linear equations. (Enter your answers as a comma-separated…

A: x1-x2=0...............A 7x1-6x2=-1..........................B

Q: Let r₁(t) = (-7, -6, -3) + t(0, 2, -3) and r₂(s) = (5, -10,-5) + s(3, 0, -2). Find the point of…

A: We want to find the point of intersection of the given two lines.

Q: Where is the function continuous? Differentiable? Use the given graph of g to answer the questions m…

A: From the graph y=g(x)=3-(x-1)20≤x≤23-(x-3)22≤x≤4

Q: 6. Given u = a. 5u b. u. V c. [2, -5]and = [-7,2] find

A: Given: v→=-7, 2 To find: v→ Note: Since, the student has mentioned to solve only question 6(c), so…

Q: Consider polar curves C1: r = 3+2sine and C2: r = 8sin0 1. Find the Cartesian equation of the…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region above the graph of…

A: By using the Shell Method to find the volume of the solid obtained by rotating the region above the…

Q: Verify that the indicated function is an explicit solution of the given differential equation.…

A: We are given a differential equation: 7y'+y=0.We have to verify that the given function y=e-x/7 is…

Q: Solve the differential equation. (t-4) s' +8(t-4) s=t+4, t>4

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Q: Find the anti-derivative of the func f(x) = = sin (₁+x) - Solve initial Value Problem f(x) = *+^, Y…

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Q: Use the integral test to determine whether each of the following series converges or diverges. For…

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Q: Consider the following. dz Find by using the chain rule. (Enter your answer in terms of t.) dt dz dt…

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Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

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Q: Compute the inverse Laplace transform of the function 1 S4 - s³ L¯¹ (F) (t) = | F(s) = =

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Q: Find the following for p =, q =, and r =. Find -2p - r Answer: Submit Answer www.w

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Q: r = 3 -4+2 sin 0

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Q: Find the derivative of the function. g'(x) = - y = sin(x) cos(x) In(3 + 4v) dv

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Q: 3) Factor the following polynomials: (a) 12x²y + 4xy² - 18ay (c) 2x² - 9x - 18 (d) 27y³ - 125 (b) d…

A: Given polynomials are : (a) 12x²y+4xy²-18xy ;  (b) d²-5d-66 (c) 2x²- 9x - 18 (d) 27y³-125 (e) 121x²…

Q: Find fif f'(x) = 2 + cos(x), f(0) = −5, ƒ(π/2) = −8.

A: Given, the information f''(x)=2+cosx, f(0)=-5, fπ2=-8. We have to find f.

Q: For each function below, assume A and B are constants. Match each graph with one of the listed…

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