Solve the length of the unknown side. Round each answer to the nearest tenth. 21 La ins 120000 2 427003 30 HEREN 4

Q: Approximate the integral with the approximation. (Round your answers to one decimal place.) x²y dy…

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Q: Calculate the derivatives (f(g(x)))' and (g(f(x)))' if f(x) = x² g(x) = 1 8x + 1 (Express numbers in…

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Q: Sequences have many applications in mathematics and the sciences. In a recent paper³ the authors…

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Q: f(x) = 5* g(x) = log5 (²²= 4) Find (fog)(x) and obtain its domain. h(x): - 6 <- x 2x-5

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Q: Use the Product Rule or Quotient Rule to find the derivative. f(z) = (3x-²+5) (-4x−³+4). ○ f'(z) =…

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Q: Q1. If g = xy - yz - · — zx and F = x²y ī − 2 y²zī – z²x k, find F. grad g and cross product of F…

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Q: V. Consider the power series +∞0 n=1 (x + 1)" +1 1. Determine whether the resulting series when x =…

A: We need to find convergence and radius of convergence.

Q: Question 5 A planning engineer for a new rice mill must present some estimates to his company…

A: Given that , Height of silo H=30 m and radius of silo R=60 m

Q: Find the cross product a x b. a ++kb-i+2j - 3k 10 Verify that it is orthogonal to both a and b. (a x…

A: Consider the vectors  a=12i+13j+110k,    b=i+2j-3k

Q: Calculate M6 for f(x) = √√2x over [3, 6]. (Use decimal notation. Give your answer to two decimal…

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Q: The terms of a series are defined recursively by the equations Select the correct answer. a₁ = 4 +1²…

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Q: Evaluate (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

A: Solution of given question is written in below steps.

Q: i) Find the general term (an) of the sequence 3e-¹, 10e-2, 29e-³, 66e-4, 127e-5,218e-6, ... ii)…

A: The given sequence is;  3e-1, 10e-2, 29e-3, 66e-4, 127e-5, 218e-6, ...

Q: If a = (4, 0, 4), b = (3, 4,-4), and c = (0, 4, 5), show that a x (b x c) = (a x b) x c. 60i + 96j -…

A: Solution: Step-1                         Given if a = 4, 0, 4 ,b = 3, 4, -4, and c = 0, 4, 5, show…

Q: Find the derivative of the function f(x) = (3x4-22³ - 10) ³/2 ○ f'(x) = (12x³ – 6x²)° ƒ' (x) = -—-…

A: The given function is f(x)=(3x4-2x3-10)32 We have to find the derivative of the function

Q: Use the Product Rule or Quotient Rule to find the derivative of f(x) = None of these. f'(x) = f'(x)…

A: topic- derivative of a function quotient rule:uv'=vu'-uv'v2

Q: The radius of a spherical balloon is increasing at the rate of 0.6 cm / minute. How fast is the…

A: Topic - Application of derivatives Volume of sphere=43πr3 where r is the radius of sphere

Q: en differential equation by undetermined coef y = x²ex + + 3

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Q: Use the estimate |RN| ≤ b + 1 to find a value of N that guarantees that the sum of the first N terms…

A: Using the concept   RN≤bN+1 to find the value of N terms of the following series.          For  bn…

Q: 8.) A triangle has a base of 12ft long and an altitude of 8ft high. Find the area of the largest…

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Q: Find the limit (if it exists). If it does not exist, explain

A: A limit does not exist when limx→a-f(x) ≠limx→a+f(x)

Q: What is the value of the integral. Select one: 64 O 16 O None of these 0 32 8 CC 00 2rydydz? D 03 S

A: As per bartleby guidelines we only give first question answers.  Please repost for other parts.

Q: Find f'(x) and find the value(s) of x where f'(x) = 0. f(x) = f'(x) = X x² +49

A: We need to find x values where f'(x)=0

Q: f _____________, then the graph of the polynomial function is symmetric about the origin. A.f(x) =…

A: Note that, a function that is symmetrical with respect to the origin  is called an odd function.

Q: Given the graph of ƒ' (x) below, where the Dom f (x) = (-∞, ∞). Find the interval(s) for which f"…

A: We have the graph of f'(x) and  we need to tell where f''(x) is &gt;0So, f''(x)&gt;0 when f'(x) is…

Q: (b) The integral (2- (2-sin x)²dz represents the volume of a solid. Describe the solid.

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Q: an = (1 + 2,60) ² =

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Q: y = 9x6 - 81x4 (Use symbolic notation and fractions where needed. Give your answers in the form of…

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Q: x³ + 8x² Consider the function f(x) = may be helpful to factor by grouping. 81x648 x + 8 O Answer…

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Q: 6. Sketch an even continuous function with all of the following features: ✔✔✔✔ • Absolute maximum at…

A: We have to draw graph with given information.  Even function means symmetric about y axis.  Y…

Q: 27. Write an equation for the piecewise function graphed below. H toolkits. -5 -4 -3 -2 -] 5- + to 2…

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Q: Determine whether the following series converges or diverges. 2 9k +17 2 Σ k=11

A: Given Series   ∑k=1∞ 9k2+17k2To find: convergence or divergence of the series

Q: Find the slope and y-Intercept (if possible) of the line. (If an answer is undefined, enter…

A: The given equation is 7x-8y=8 We have to find the slope and y-intercept of the given equation.

Q: tor. f(x,y)= In (8+3x²+3y²); P(3,-1); (3.2) d the gradient of f(x,y) = In (8+3x²+3y²). xx,y)=

A: Topic:- application of derivatives

Q: termine whether the following series converges or diverges. 4"-3" 5" Σ n=0

A: We will use The Ratio Test for converge test

Q: Find an equation or inequality that describes the following object. A sphere with center (4,1,1) and…

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Q: Solve the given differential equation. x²y" + xy' + 16y = 0 y(x) , x > 0

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Q: Show that the following series converges and find its sum: partial sum from k =2 to infinity of…

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Q: Find the area inside the inner loop of r = +3 10sinθ

A: Concept: The area inside the loop is given by the formula A=12∫αβr2dθ Where r represents the loop…

Q: Find the derivative of the function f(x) = (3x² – 2x³ O f'(x) = (12x³ - 6x²) ³/2 f'(x) = O 3 f'(x)=…

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Q: -4 -2 30- 20- 10- 0 2 4

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Q: The function z = Select one: O True O False f(x, y) has a local maximum at the critical point (3,-1)…

A: Given z=f(x,y) D(3,-1)=4 and fxx(3,-1)=-5

Q: Solve the differential equation by variation of parameters, subject to the initial conditions y(0) =…

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Q: An employee has two options for positions in a large corporation. One position pays $14.25 per hour…

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Q: Identity the transformations (a) y=k(6x) + 3 of the function k(x). (b) y = 10k(-x) (c) y = .3k(x-7)…

A: We need to identify transformations.

Q: Find the average temperature in the box D = {(x,y,z): 0≤x≤ In 3, 0sysin 9, 0≤z≤ In 27) with a…

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Q: Solve the differential equation by variation of parameters. 4x e2x y(x) = y" - 4y =

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Q: bn nn ебп =

A: Please see the below picture for detailed solution.

Q: Write the given differential equation in the form L(y) = g(x), where L is a linear differential…

A: The general form of a higher order linear differential equation is of the form f(D)y=Q(x). Where…

Q: Q4. Let R be the annular region lying between the two circles x² + y² = = 1 and x² + y² = 16.…

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