Given dy dx True False =e 4x + 5y . The solution is 5e 4x -5y = C. +4e

Q: Determine if the sequence converges or diverges. If it converges, state the limit. arctann Inn an A.…

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Q: Find the measurement indicated. Round your answer to the nearest tenth. Find AC 35 12 m O 14 m O 15…

A: We have given a triangle  From given triangle  A=350 B=470 BC = a=11 m   Using law of sine…

Q: Rewrite the equations in general form: 1.  (x+4)^2 + (y-3)^2 = 64 2.  (x+2)^2 + (y+2)^2 = 4

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Q: Evaluate the expression, reduce to simplest form. (a) 2log2 3 Your answer is (b) 10log 6 Your answer…

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Q: The variable a is jointly proportional to the cube of b and the square of c. If a=70 when b=5  and…

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Q: Find a plane containing the point (-1,1,2) and the line x(t)=-8+2t , y(t)= 1+7t and z(t)=6+7t

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Q: Calculate the Taylor polynomials T₂ and T3 centered at x = a for the function f(x) = 13 ln(x + 1), a…

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Q: Assume that the amount of money deposited in a bank is proportional to the square of the interest…

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Q: Solve the system of two linear inequalities graphically. Step 1 of 3: Graph the solution set of the…

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Q: At each marked point: draw a short tangent line and estimate the derivative at the point (write the…

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Q: y = f(x) Vertex: f(x)= SHOW SUPPORTING WORK BELOW: (1501 mi) = Vertical intercept: (8₂- V. 20…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Let_f(x, y, z) = xy4 + z² and x = st, y = s3 t, and z = s3 t3. Calculate the primary derivatives (a)…

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Q: 7. The level curves of f(x,y)=√36-4r² - 9y² are f(x₁80= √36 6- A. Sometimes parabolas and…

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Q: Find an equation of the tangent line to the curve at the given point. y = 5x 4√x, (1, 1) y = x X…

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Q: Use the Linear Approximation to estimate Af for f(x) = 3 when a = 2 and Ax = -1. (Use decimal…

A: Solution is given below:

Q: x+y=1)dx + (2x − v)dy = 0 -

A: Please see the below pictures for detailed solution.

Q: (b) -√3/2 1/2 sin ¹(y) dy

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Q: Differentiate the function. f(t) = 7 - ² t 3 f'(t) = = X

A: Topic - Derivative of a function We are given f(t)=7-23tWe know thatPower rule:ddttn=ntn-1

Q: formula that could represen

A: We will start by checking the options. The one option which satisfies all the conditions is the…

Q: A. Find the solution of the following differential equations. Show your solutions 3. (D³ + 8)²y = 0

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Q: 27 V3 Sö x²(x² + 1) - dx

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Q: Find the derivative of the function by using the quotient rule. 7x² +1 x² +7 2 y =

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Q: əz dz Express and as functions of u and v both by using the Chain Rule and by expressing z directly…

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Q: 4. Find dy by implicit diff. de Cos(x₁) = sin(x+y) dy = ? Ax

A: To find derivative

Q: Solve each triangle. Round your answers to the nearest tenth. m/A = 33°, c = 12m, a = 10m O m/B =…

A: Given : m∠A = 33° , c = 12 m and a = 10 m Solve each triangle. Round your answer to the nearest…

Q: Find all relative extrema of the function f(x)= x ⁹ A relative min: (0, -1); no relative max B no…

A: Given: fx=x29-1 To find: Relative extrema The relative extrema are the points of a function at which…

Q: (C) −4 1

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Q: ∞ dx x²+12

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Q: Use the quotient rule and the derivative of sine and cosine to prove the derivative of csc x is -csc…

A: Given,            Prove that ddxcscx=-cscxcotx

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter D lim (x + h)³ - x³ h h→0

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Q: How do the Product and Quotient Rules differ from the Sum and Difference Rules?

A: We will find how the product and quotient rules differ from the sum and difference rules as…

Q: Suppose that a room containing 1600 cubic feet of air is originally free of carbon monoxide.…

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Q: A) -1 O A B O C D COS X lim x-R/2 x= π/2 - ΟΕ B) 1 C) 0 D) ∞ E) None of these

A: Given query is to find the  Indicated limit.

Q: Find the points on the curve y = 2x³ + 3x² - 12x + 6 where the tangent line is horizontal. x)…

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Q: Find the radius of convergence for: n²xn 8n n=1

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Q: The number of years N(r) since two independently evolving languages split off from a common…

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Q: Question 9 Determine the open intervals on which the graph of y=-2x³+x²+x-3 is concave downward or…

A: We have given function  y=-2x3+x2+x-3 y'=dydx y'=-2ddxx3+ddxx2+ddxx-ddx3 y'=-23x2+2x+1-0…

Q: Determine if the series converges or diverges. If it converges, give its sum. n-1 Ĺ³ (1) ** 3 2 n=4

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Q: Find the indefinite integral using the substitution x = 2 sec(0). (Use C for the constant of…

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Q: Question 13 The resistance of a certain type of resistor is R = √0.0037-57+600 where is measured in…

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Q: 4) belanjmited 10/1036 a) b) upy of awob Find ALL of the first and second partial derivatives of the…

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Q: f(x) = 8 V 6x² - 5

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Q: Find the equation of the quadratic function whose graph is a parabola containing the points (0,3),…

A: A parabola containing the points 0, 3, 4, 23, and -1, 8. We have to find the equation of the…

Q: Find all relative extrema of the function f(x)=x²+2x+4. Use the Second Derivative Test where…

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Q: Assuming continuous compounding, what will it cost to buy a $40 item in 1 years at the following…

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Q: dy dx || 2y x

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Q: Compute the surface area of revolution about the x-axis over the interval [0, л] for y = 8 sin(x).…

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Q: Find the average value of the functions on the given interval. a) Average value of f(x) = x on [4,…

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Q: Find the derivative of the function. y = [x + (x + sin² x)7]4

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Q: 3. Consider function f from Exercise 1 and function h: [0, π] → R defined by h(x) = sin(3x). A. Use…

A: As per your request (3) The function is given as , fx=x2 , f:3,6→R and hx=sin3x , h:0,π→R