Given the equation y = 5 sin(3x + 18) + 2

Q: Find if the series converges or diverges.

A: The answer is given below.Explanation:

Q: Find the direction in which the maximum rate of change occurs for the function f(x, y) 5x sin(xy) at…

A: The objective of this question is to find the direction of maximum rate of change of the function…

Q: How Find of and Duf to:- -3 f (x₁Y,Z) = 27²³²—3 (x² + y²³) Z + tań X Z on the point (1,1,1) in the…

A: The given function is

Q: How long will it take for money invested at 6.59% compounded monthly to triple?

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

Q: Give the derivative of v-/-/10

A:

Q: lim (x, y)→(0, 0) sin (x² + y²) x² + y²

A:

Q: Remaining amount (gal) 20- 18- 16- 14- 12- 10- 8- 6- 4- 2- 0+ -O 1 -~ 2 3 4 5 6 Elapsed time (days)…

A: The minimum rate of consumption is 0 gallons per day, this occurs after 6 days. Explanation:Step…

Q: 5. dy dt 2t 1 + t2 Y = 3

A: we need to find out the solution of the differential equation.

Q: Find the first partial derivatives of 2х — у f(x, y) = 2x + у of Әх -(3,4) = of -(3,4) = ду at the…

A: To find the first partial derivatives of

Q: Suppose C'(x), R(x), and P(x) are the total cost, revenue, and profit of producing a items. Match…

A:

Q: 28 Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

A: Mr. Durham bought 160 fluid ounces of plant food for his garden. He used 1 cup of plant food to…

Q: Find the linear approximation of the f(x, y) = Answer: f(x, y) ~ X x + y at the point (1,4).

A:

Q: Which answer represents the top graph derivative?

A: We are given the graph of the function.When the function is increasing, the derivative of the…

Q: Consider the plane with equation x + 2y + 2z - 6 = 0. Determine the point on the plane that is…

A:

Q: (2) n=1 n²-2√n +1 1-n-3n²

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

Q: 5. Let f(x) = 3x³ + 2x + x+ 1 x²+x-2 . What types of asymptotes does f(x) have? horizontal and…

A:

Q: sin²(t) + cos²(t) sin²(t) 2

A: f(t)=sin2⁡(t)+cos2⁡(t)sin2⁡(t)

Q: Hiw Find of and Duf to :- f (x₁9,2)= In (x²+2y² +32²) atp (-1,²,4) in the direction of a = -36 -…

A:

Q: Approximate cos COS a = h = 12 by using a linear approximation with f(x) = cos x. ≈ f(a) + f'(a).h =…

A: The given function is .

Q: Find if the series converges or diverges.

A: Answer: the series divergesExplanation:Method 1: Method 2:  Note: there is is various way to prove…

Q: I am not fully grasping the transformation from sinx to tanx and from cosx to tanx in step 2 of the…

A: To evaluate the following integral by using the substitution .Note: Since, the student has mentioned…

Q: Find the Maclaurin polynomial of degree 3 for the function. f(x) = e-x

A:

Q: Evaluater(g(t)) using the Chain Rule: r(t) = (e¹, e⁹, -6), g(t) = 2t+3 eºt, år(g(t)) =

A:

Q: Determine if the series converges or diverges.

A: Refer to explanation block Explanation:

Q: Evaluate - DI 2 x (√Vin(4-x²)).

A:

Q: In this problem, p is the price per unit in dollars and q is the number of units. If the weekly…

A:

Q: Find a possible equation for the linear function g(x, y) shown in the graph below: -3 3. Ч В 1.0 -1…

A: We have to find a possible equation for the linear function g(x,y) and the given graph is:

Q: Find the length of the curve correct to four decimal places. (Use a calculator or computer to…

A: The given curve equation The length of the curve for  is

Q: Determine the degree of the Maclaurin polynomial required for the error in the approximation of the…

A: Givenf(x)=sinxWe have to determine the degree of the Maclaurin polynomial required for the error in…

Q: R(s, t) = G(u(s, t), v(s, t)), where G, u, and vare differentiable, and the following applies. v(7,…

A: Given that

Q: b) [x³√9-2x dx (let u = √2x i.e. u=x√√2 )

A:

Q: Consider the function f whose graph is shown below. This function is given by f(0,0) Find its limit…

A: Given: To Find: (a) To find a formula for the single variable function .To find  for this…

Q: Determine the convergence or divergence of the series.

A: The answer is given below.Explanation:

Q: Test for convergence or divergence with the Direct Comparison Test.

A: See the answer given below Explanation:

Q: Find the derivative r '(t) of the vector function r(t). r(t) = e¹¹i-j+ln (1 + 5t) k

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Q: a.Ek=1[k2 – (k – 1)3] b. Σ=1[k3 – (k – 1)3] 8 c_E=ovk+1_V

A: To evaluate the following sum.

Q: (1) | a 1 x3 + bºx dx

A: Given:indefinite integral To find:Evaluate the integral

Q: 3. Let f(x)= x+ - 8x2. What are the critical number(s)? a. X = = 0, x=-4, and x = 4 b. x = -2 and x…

A: Given a function f(x), critical numbers of the function f(x) are the values of x for which f'(x)=0…

Q: Solve the differential equation 3x²y"+ 20xy' - 6y = 0.

A:

Q: Exercise 1: Show that the probability associated with the state n for a particle in a…

A: Answer: The prove is given below in detail.Explanation:

Q: The graphs of two functions, f and g, are shown below where x is in radians. Recall ≈ 3.14. 11 =…

A: From the given graph

Q: To find the arclength of y = 2x²-1 from x = 0 to x = 4, which is the correct integral? 4 = Sº OL=…

A:

Q: ху (x, y)→(0, 0) x² + y² 16. Determine whether lim exists.

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Q: 20. Given a = [3, -5,1], b = [-2,4,-1] and 2 = [7,3, -2], find a) b.č b) axč c) , the angle between…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three sub parts…

Q: The length and width of a rectangle are measured as 23 cm and 52 cm, respectively, with an error in…

A: Let length of the rectangle denoted by x Let width of the rectangle denoted by y As we know the area…

Q: f(x) = (8 - x)(x + 1)²

A: Given: To Find:(A) To find the critical numbers of f, if any.(B) To find the open intervals on which…

Q: a. The region bounded by y = 2x, the x-axis, the line x = 1, and x = 3. A(x) = f₁³ 2xdx b. The…

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Q: Solve the absolute value fucntion f(x)=|x-2|+|x+1|-4

A: Therefore , the only valid solution for the function f(x)=∣x−2∣+∣x+1∣−4isx=25​  For x<−1, no…

Q: In this problem, p is in dollars and g is the number of units. (a) Find the elasticity of the demand…

A:

Q: 8. X + 2 y Make a = 9 graph. Use at least 4 points. Report domain and range. (Isolate y.) Solve for…

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