Let y = 5√√. Find the change in y, Ay when x = 2 and Ax = 0.1 Find the differential dy when x = 2 and dx = 0.1 Submit Question

Q: = 5. Prove the identity: cot(A + B) cot(A − B) = cot² B tan² A tan² A cot² B-1

A: To prove cotA+BcotA-B=cot2B-tan2Atan2Acot2B-1

Q: The infinite series Σ a. series liner 8 n¯4 is a

A: We know that the p-series is the following. Thus, for             p=4.

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A: We have to find the integral.

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Q: Show that 16x4+9y12 lim (x,y)→(0,0) 4x²+3y6 does not exist.

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Q: IV. Fill in the blank to make each statement true. Use correct notations. 3. If a polynomial…

A: We can solve this as follows:

Q: Evaluate the following antiderivative/indefinite integral: / [(5x² + ² + + 50² + 7) de 36 X x3 k:…

A: Topic:- application of integration

Q: Express the limit lim n→∞ a = n b = i=1 Provide a, b and f(x) in the expression (6 cos² (2πx)+5) Ax;…

A: To find value of a, b and f(x).

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) 13 + 9x -3y…

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Q: This graph corresponds to which inequality? y ≤ x + 4 y > x + 4 y < x + 4 y ≥ x…

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Q: Using Part I of the Fundamental Theorem of Calculus, evaluate: d dr 11 t²dt =

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Q: (2) Find the integrals: x² 2 • S √36x² dx

A: Given ∫x2 36-x2dx

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Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. d dx re¹2x d dx x4…

A: This question can be solved using the concept of fundamental theorem of calculus part 2 according to…

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A: Given data:- The available budget for the cylindrical steam boiler, =1 million=1000000 The cost of…

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A: Here we will use the chain rule i.e., if u and v are function of t with f=uv then…

Q: . For each positive integer n, define an = n² sin +∞ 1. Determine if the sequence {an} converges or…

A: The solution is given below

Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

A: Solution is given below:

Q: Find the derivative of the given function. g(x) = sec¹(2πx) a) g'(x) = 87 sec³ (2πx) tan(2x) Ob)…

A: I am attaching image so that you understand each and every step.

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Q: A smooth curve C is defined by some vector function R(t) with R (7) 2 = = (π,0,−2) and R' (t) = (2,…

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Q: 3. Give an example of a situation in which composite differentiation might be used. Give examples of…

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Q: S= [²3/1/20 The value of dr is

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Q: 23. Find any point of in f(x)=8-6x-x? For problems to find... 24 to 27, US. 24. Critical points 25.…

A: 23.Inflection point  F(x)=8-6x-x^2 F'(x)=-6x-2x F"(x)=-2 There is no inflection point

Q: Question 21 Consider the region in the third quadrant between the circles a² + y² = 4 and a² + y²…

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Q: Find the absolute maximum value and the absolute minimum value, if any, of the function.…

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Q: Use the graph of y = f(x) for problems 7 and 8. 1010 lim f(x) = 1; HI-4+ lim f(x) = 1; 41144 Use the…

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Q: Which of the following is a type of inequality sign? > ≥ and ≤ < All of the answers are correct.

A: We know that, In mathematics, the relationship between two values that are not equal is defined by…

Q: Mammator Mbaye ) Find the derivative of the expression - carefully. Do not simplify. (81) - 24r + 22…

A: To find out the derivative.

Q: Factor the following expression: x^2 +9x + 8 (x + 1) (x + 8) (x - 1) (x - 8) (x - 1)…

A: Solution

Q: A tank contains 70 kg of salt and 2000 L of water. A solution of a concentration 0.0175 kg of salt…

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Q: Two fire-lookout stations are 14 miles apart, with station B directly east of station A. Both…

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Q: 5) Integrate 2x cos (x²-5) with respect to x.

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Q: f(x)= x² tan(x)

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Q: True/False: Answer a) for True, b) for false and mark on the scantron. 24. The following is a…

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Q: Question 18 Suppose that T (a)centered at 2 for f(x)is given by T₁(a)=3+5(x-2) + 8(x-2)² + 2(x-2)³ +…

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Q: Find the surface area of the portion of the cone x² + y² = z² above the region inside the…

A: Let's find surface area of the cone.

Q: ) Find the formula for bn given by the recurrence bn+1 = 3bn + 2n, bo = 1

A: As per the guidelines I am answering only first question. i.e. (d) bn+1=3bn+2n, b0=1

Q: Consider the function f(x) = 9 x³ Let F(x) be the antiderivative of f(x) with F(1) = 0. Then F(x) =

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Q: X √x dx 5-х

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Q: The base of the solid is the triangle enclosed by x + y = 11, the x-axis, and the y-axis. The cross…

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Q: y = In z I at x = 1: Oy=-x+1 Oy=-x-1 Oy=x-1 Oy=x+1

A: As per the company's guidelines, we are supposed to solve the first question for you, kindly repost…

Q: Consider the function f(t) = 6 sec²(t) - 6t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: The given function is: ft=6sec2t-6t3   As we know that; The expression for the antiderivative:…

Q: Question 17 > At noon, ship A is 40 nautical miles due west of ship B. Ship A is sailing west at 21…

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Q: CALCULATE THE AREA BETWEEN THE GIVEN FUNCTIONS. DEVELOP THE PROBLEM WITH ALL STEP EXPLAINED AND…

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Q: D) { (-)"} [Select] [Select] converges to 2.

A: Please see the below picture for detailed solution.