Find the derivative of the function. h(x) = 3 e⁹x+x70 +70 h'(x) =

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Q: Approximate both ln(0.99) and ln(1.01) using one tangent line approximation: First note that…

A: Using tangent line approximation, we can find the required values.

Q: Determine the number of equations and the number of variables in the following system of linear…

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Q: Differentiate the function. P'(W) = P(w) = 6w² - 4w+2 √w W

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Q: Find the derivative of the function. y = etan(e) y' =

A: find the derivative of the given function

Q: Find the derivative of the function. 3 y' = y = x² + 8 x² - 8 -96x- x² +8 2 4 x²-8 2 X

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Q: The graph of f'(x) is given below for x E[-5, 5]. On which interval(s) is the function f(x) both…

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Q: Find an equation of the tangent line to the curve below at the point (0, 1). 2 1+e- y = y=

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

Q: The graph below is of f'(x) for some function f(x) with domain (-00, 0o) (i.e., the graph of the…

A: Given graph of derivative of function

Q: A softball diamond is a square whose sides are 60 ft long. Suppose that a player running from first…

A: Given,A softball diamond is a square whose sides are 60 ft long.Suppose that a player running from…

Q: 3. Answer the following derivative practice questions. a. b. C. d. Find the derivative of the…

A: 3)a) F(x)=(x4+5x2-5)4b)y=cos(a7+x7)c)y=3xe-kxAccording to bartleby guidelines we solve only three…

Q: Differentiate the function. f(x) = 260 f'(x)

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Q: A calculator may be used for the following question. Let f(x) be a function such that sinx…

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Q: X x +1 dx =

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Q: Let / be the length of a diagonal of a rectangle whose sides have lengths x and y, and assume that x…

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Q: Let f(x) = x³ + 6x² − 96x + 23. Use the definition of a derivative or the derivative rules to find…

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Q: Consider the points P = (1,1) and Q=(3,-1). (a) Draw the points P and Q and draw an arrow from P to…

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Q: Integrating cos/xsin x dx where k is Odd Evaluate [cos 8 xsin ³ x dx.

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Q: Find equations of the tangent lines to the curve y = at the point (1, 0) at the pointe, -5 -4 y =…

A: Tofind the equations of the tangent lines to the curve  at the points .To illustrate by graphing the…

Q: The minute hand of a certain clock is 3 in long. Starting from the moment when the hand is pointing…

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Q: 61. The graph of y = (x²)* has two horizontal tangent lines. Find equations for both of them.

A: The equation of curve is As we know When the tangent line is horizontal to the curve then its slope…

Q: Find dy/dx by implicit differentiation. x²y² + x sin(y) = 6 dy/dx =

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Q: -3 -3 4 4 Determine the product B.A. Let A -3 2 1 3] -[43] -4 3 3 B =

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Q: Consider the given function c (x)=2x² - 8x+7. (a) Write the function in vertex form. (b) Identify…

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Q: Find the RREF of the matrix 2 3 12 -2 22 -2

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Q: (A) f'(x) = (C) f'(x) = e+e-> (e-e) (e +e¯)-(e² −e¯¹) (eª +e¯²) (e+e-)2 (e +e-)²-(e-e¯¹) ² (e+e-)² =…

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Q: Differentiate. h'(0) = h(0) = 0² sin(0)

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4 cm/min.…

A: Given, a spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.4…

Q: Find a) any critical values and b) any relative extrema. f(x) = x² - 2x + 5 OA. The critical…

A: to evaluate critical value and relatives extreme of the function f(x) =x^2-2x+5

Q: The development of the population P in specific small city is analysed. The investigation revealed…

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Q: Provide logarithmic differentiation to find the derivative dy for y= (x².2x) * dx

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Q: da Given that a t¹ = 6a²t, find using implicit differentiation. dt da dt ||

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Q: Let y = 5.25x² +4.75 and dy Find when x = 4. dt dx dt 0.3.

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Q: For this system of linear equations, find the general solution of the system or state that the…

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Q: 4. a. b. A spherical balloon is being inflated. Find the rate of change of the volume with respect…

A: A spherical balloon is being inflated.(a) To find the rate of change of the volume with respect to…

Q: unded by f(x) = √x, y = 0, and x = 4 is shown below. Find the volume of med by revolving the region…

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Q: For time 0 ≤ ≤ 10, a particle moves along the x-axis with position given by x(t) = t³-77² +8t+5 What…

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Q: find the value of the constant A SO that y= A sin 3t satisfies the differential equation y² + 2y = 5…

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Q: SHOW COMPLETE SOLUTION I. By integrable combinations, solve the following equations. (x³ + y)dx-(y²…

A: given differential equation

Q: The figure below shows f(x) and its local linearization at x = a, y = 4x-4. (The local linearization…

A: Given figure below shows f(x) and its local linearization at x = a, y = 4x-4.

Q: 6. Find y" for the curve cosa-siny = 4.

A: Given .We know,

Q: 23. Time-lagged flights An airliner passes over an airport at noon traveling 500 mi/hr due west. At…

A: SolutionAssume that x is the distance the west bound airliner has travelled between noon and t hours…

Q: Recall that i = (1,0,0), j = (0, 1, 0), and k = (0, 0, 1). What are the vector and scalar compo-…

A: Given vectors are Let

Q: Use logarithmic differentiation to find the derivative of the function. y'(x) = y = √ X-2 x + 3

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Q: Find the linear approximation L(x) to y = f(x) near x = a for the function. f(x) = L(x) = X a = 3

A: The linear approximation of a function y = f(x) at x = a is Now differentiating f(x) with respect to…

Q: 1. An ordinary differential equation (ODE) is an equation that relates x, y (function of x) and the…

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Q: Write a polynomial function of minimum degree in standard form with real coefficients whose zeros…

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Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)), (2, 0)

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Q: Find the derivative of the function. G'(x) = G(x)=√1-169x² arccos(13x)

A: Using product rule of differentiation, we can find the derivative of given function.

Q: Q2. Let w = xy ln(xyz). (a). Find w дх '

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