Find the first and second derivatives of the given function. f(x) = -0.7x² + 0.9x + 3 f'(x) || f"(x) = X X

Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³ + 4x) dx using 4…

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Q: 3. Let f(x, y) = cos(ex) + 4xy + 4y + 5 and P = (-1,3). a. b. C. Find the rate of change of f at P…

A: Concept: A vector field represents a function's gradient. It is produced by taking the scalar…

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A: A.  Standard form  where ( h , k ) is vertex.  Example    B. General form example

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Q: Question 7 Find the values of a and b if f(x) = bx³ - 1, if 3x + a, if O a 3 and b = 1 O a = -3 and…

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Q: Calculus Demand Function Quantity Demanded p = 500 - 3x x = 24 a) Find the price elasticity of…

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Q: Use the defnitions of the hyperbolic functions to find the following limit:  lim x → ∞ (tanh x)

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Q: Determine if the series below converges or diverges by comparing it to a p-series using the…

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Q: Differentiate (logarithmically) dy/dx, if y = ln(cos x)/2x^cot(3x)

A: given  y = ln(cosx)/2x^cot(3x)  dydx= ddx(ln(cosx)/2x^cot(3x)dydx ={ 2xcot(3x)ddx(ln(cosx) -…

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Q: A tank contains 60 kg of salt and 1000 L of water. A solution of a concentration 0.03 kg of salt per…

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Q: Find the instantaneous slope of y=at z = 2.

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Q: Evaluate the limit: limo 9x² (= cos 4x-1

A: To evaluate the following limit.limx→0 9x2cos4x-1

Q: Given f(x) = e* sin x, for what values of a does the graph of f have a horizontal tangent lin

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Q: If y = u³ - 4 and u = 3x² + 10, find y' O 18x(3x² +10)² O 3x(6x² + 10)² O18(3x² +10)² 6x(3x² +10)² घ

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Q: Question Determine the absolute error when using the trapezoidal rule to find ²(2x³+4x) dx using 4…

A: Given   ∫022x3+4xdx

Q: Express the integrand as a sum of partial fractions and evaluate the integral. √6x² + 2x +7 dx 3 X…

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Q: Differentiate the following function. 3 y=xaex dy CX

A: We know, d/dx(xn)=nx(n-1), for any real number n  And d/dx(ex)=ex

Q: Based on the graph of the function y = (2,4) -2 (A) f f (x) dx = (B) f f(x) dx = (C) f₁ f (x) dx 3…

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Q: If_f(x) = xcotx , then f(л/4) = Ов A. K B. 2 С. 1-л/2 D. 1 + л/2

A: See this solution in below.

Q: dy Find for the function y = 11*.

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The circumference of a sphere was measured to be 89 cm with a possible error of 0.5 cm. Use linear…

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Q: Show and explain all work!!!!!

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Q: A particle moves according to a law of motion sf(t), t2 0, where t is measured in seconds and in…

A: As per guideline we can solve maximum three subpart you can repost remaining subpart

Q: Explain what it means to say that "The limit as x approaches -6 of f(x) is equal to 8." (Note: I am…

A: We have given  The limit as x approaches - 6 of f(x) is equal to 8. limx→-6fx=-8 It means that…

Q: Evaluate the expression without using a calculator. log 476

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Q: Find the minimum and the maximum of the function f(x, y) = x² + xy + y on the set: D = {(x, y): 0 ≤…

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Q: The height (in meters) of a projectile shot vertically upward from a point 2 m above ground level…

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Q: Use implicit differentiation to determine dy dx dy given the equation ey² + cos(x) = e. dx

A: Topic-implicit differentiation We are given, ex·y2+cos(x)=eywe know thatddx(u·v)=uv'+vu'ddxxn=nxn-1

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Q: how do we set the partial fraction decomposition?

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Q: 1. Use a graphing calculator to find the solution to the given system. If there is no solution or…

A: Given equation y=3x+2 y=3x+7 We find two point on the lines are Equation Point 1 Point 2 y=3x+2…

Q: Graph the solution to the following system of inequalities. 7 y<--x-1 7x+4y2-28 Then give the…

A: Given in equation y&lt;-74x-14y&lt;-7x-17x+4y&lt;-1                       (1)7x+4y≥-28…

Q: Find the differential dy of the function y = √√/2-3x. Provide your answer below: dy = dx

A: Derivate both sides with respect to x

Q: Consider the integral 1,33 x² If the integral is divergent, type an upper-case "D". Otherwise,…

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Q: Let g and h be functions defined by g(x) = 2x. f(x) and h(x) = 3x²+4x-In√x. Part A: Find g'(8). Part…

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Q: dw dt Find where w(x, y, z) = xyz + xy, with r(t) = e³, y(t) = e "t and z(t)= e 3t dw dt W

A: Given 1. wx, y, z=xyz+xy 2. xt=e3t, yt=e-9t and zt=e-3t

Q: Let y = sin(5x). If Ax Ay ~ = = Find the percentage error error = 0.2 at = 0, use linear…

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Q: Find an expression for the general term of the Taylor series 9 In(1 + 3x) = 3x x + 27 3 23 81 4 X +…

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Q: Find the gradient of the function at the given point. Function Point (3, 3) f(x, y) Vf(3, 3) = = x +…

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Q: - Find the general solution of y"" — 2y" — y' + 2y = 0

A: y'''-2y''-y'+2y=0

Q: x³, -2<x≤0 -3x, 0≤x<2 2<x<4 x = 2 f(x)=√-3x, 8, 0

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Q: If a ball is thrown vertically upward with an initial velocity of 96 ft/s, then its height after t…

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Q: Find and classify the critical points of f(x, y) = x³ + 2xy + 3y². Local maximums: Local minimums:…

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: If f f (x) dx = sin²(x) + C, then find the function f(x).

A: If ∫fx dx=12sin2x+C, then to find the function fx.

Q: Let f(t) be the weight (in grams) of a solid sitting in a beaker of water. Suppose that the solid…

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Q: Find the general solution in the form y = yc + yp. y'' + 4y' + 5y = e-2tcost

A: y'' + 4y' + 5y = e-2tcost Find genral solution

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Q: Problem 5.5 Chain rule Consider the function w = 4e* In (yz), with intermediate variables x, y, and…

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Q: Consider the function f(x)=x3−5x on the closed interval [−3,1]. Find the exact value of the slope…

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