Find the derivative of the function. 2(5x² + 6x) 73√√x y' = y =

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A: We have to solve the differential equation.

Q: Suppose an equation of the tangent line to the curve y = f(x) at the point where a 5 is y 8x - 6.…

A: Given y=f(x)

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Q: in step one is it f(n) or f(x) i cant tell your hand writing

A: To write down that it is f(x) or f(n).

Q: ← Find the marginal profit function if cost and revenue are given by C(x) = 153 +0.2x and R(x) =…

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Q: where did -a+h come from

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Q: The solution of the differential equation y': || x 1 + 1 is:

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Q: Use the price-demand equation to find E(p), the elasticity of demand. x = f(p) = 170-25 In (p) E(p)…

A: The given price demand equation is x=fp=170-25 lnp We have to find elasticity of demand Ep Use…

Q: Confirm that the integral test is applicable and use it to determine whether the series converges.…

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Q: Find the area of the parallelogram determined by v = (2,0,0) and w = (0,2,5). (Use symbolic notation…

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

Q: A function is given g(x) = 5/x; x = 1, x = a Determine the net change between the given values of…

A: A function is given gx=5x; x=1, x=aTo determine the net change between the given values of the…

Q: The unit cost, in dollars, to produce bins of cat food is $15 and the fixed cost is $15470. The…

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Q: Use the Mean Value Theorem to supply a proof for Theorem6.3.2. To get started, observe that the…

A: Concept: Theorem 6.3.2. : Let (fn) be a sequence of differentiable functions defined on the closed…

Q: Jse any of these formula (an = 1/2 (a₁ + an ) or an = 1/2 [2a₁ + (n − 1)d] to solve for the sum of…

A: As per the guidelines I am supposed to do the first question among multiple questions, So here I am…

Q: F(x,y) = 5 x³ ty sin²x 4 2 x +y 0 if (x,y)=(0,0) " ‚ if (x,y)=(0,0)

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Q: (1 + x²)y' = x¹y¹

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Q: b. y = 2x² - 1 x + 1

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Q: Find the intersection of the plane - 6x + 6y + 2z = 80 and the line 7'(t) = (8, 6, 5)t + ( − 7, 4,…

A: Topic- point of intersection of plane and line we are given equation of plane :-6x+6y+2z=80 equation…

Q: The Virginia Cooperative Extension reports that the mean weight of yearling Angus steers is 1152…

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Q: Determine whether the alternating series converges. Σ(-1). Sink O The series converges. O The series…

A: The given alternating series ∑k=3∞-1k5ln kk we have to fins the series is converges or diverges.

Q: ( xy² + y ² ) dy = ( x ³ y ³ + x² - y ³-1)dx

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Q: 4. For the vectors à = and b =, calculate a. à.b axb b.

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Q: Tab -Lock HH You are given the following function. f(x) = 8.5x²-x+ 3.9 (a) Find the derivative of…

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Q: 89. f(x)=√x-2 [Hint: Rationalize the numerator.]

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Q: 3 3 ( xy² + y ² ) dy = ( x ²³ y ²³ + x ³ - y ³ - 1 ) dx

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Q: Find the Range of 1/√x³+8

A: We can find the Range of the function .

Q: The textbook says the answer to b is about 50 m/s. I also got 32.5 and cant figure out why the…

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) lim. 5x 3 t-> sin(t) t

A: The limit is  limt→5π3sintt To evaluate: The value of the limit.

Q: (i) lim x cos x4 x-0 -2 X

A: The given limit limx→0x4cos-2x We have to find the given limit.

Q: Determine the degree of the differential equation: 3/2 d²y 2/3 (3x² 1²7 2 + 4xy) ¹² = ( 2y³ (²Y -…

A: The degree of the differential equation is defined as the power to which the highest order…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Tangent line

Q: IMB 1) -B To determine whether a given series converges, it is important to first consider its form.…

A: Given the equation:- ∑k=1∞1ke

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A: Given :∫sec2lnxcos6lnxxdx

Q: Let y=e*(Acos(x) + Bsin(x)) be the solution of the initial value problem for the differential…

A: y=e-xAcosx+Bsinx is the solution of the differential equation y'' +2y' +2y=0

Q: Suppose that lim f(x) = 3 and lim g(x)= -8. Find the following limits. x-b x-b a. lim (f(x) + g(x))…

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Q: Example 3: The formula for converting a temperature in degrees Celsius into degrees Fahrenheit is F…

A: given, x repersent the temperature in degree celsius

Q: Use any of these formula (an = 1/2 (a₁ + an ) or an = 1/2 [2a₁ + (n − 1)d] to solve for the sum of…

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Q: The table lists the frequency F (in Hertz) of a musical note at various times t (in seconds). (a)…

A: The given table for frequency of musical note and time t t 0 1 2 3 4 5 F 436 444 434 446 433…

Q: Use a tangent plane at (-6,-4) to approximate the value of the following function at the point (-…

A: Given function :  −2x2−4y2+7z=−101 Now, −2x2−4y2+7z=−101z=2x2+4y2−1017f(x,y)=2x2+4y2−1017

Q: f(4+h)-f(4) h (Express numbers in exact form. Use symbolic notation and fractions where needed.) Let…

A: The function is given by fx = 1x Formula used to find the limit is f'4 = limh→0f4+h-f4h To evaluate:…

Q: Differential Equations:  Solve the following problem for y(t). dy/dt + 2y(t) = 2x(t);    x(t) = u(t)…

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Q: 2. Find an equation of a plane passing through the point (6, 1, 2) and containing the line of…

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Q: 1. Consider the ODE: (2x + 4y) + (4x − 2y + 1)y' = 0. Verify that the ODE is exact and then find its…

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Q: Use differentials to approximate the value of the expression. Compare your answer with that of a…

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Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: We know that the general equation of a straight line is y = mx+c . Here m is slope of the line and c…

Q: Show that the minimum value for the function f(x) = x^2 + 4x -21 happens when x = -2

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Σ( (-SI) The…

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Q: Find slope of tangent line F(x)= 3x^2+5x-2

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Q: aquar the aquarium. (Use Show how to approximate the required work (in J) by a Riemann sum. (Let x…

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Q: . Evaluate the definite integral.   8 5x − 1 x2(x + 1)  dx 1     please show step by step .

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