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(a) For the limit lim (x3 + x + 2) = 4, use a graph to find the largest possible value of that corresponds to s = 0.3. (Round your X-1 answer down to three decimal places.) 8 = 0.071 (b) By using a computer algebra system to solve the cubic equation x3 + x + 2 = 4 + ε, find the largest possible value of that works for any given a > 0. 5(E) = x(&)-1 (C) Put...
(a) For the limit lim (x3 + x + 1) = 3, use a graph to find the largest possible value of that corresponds to E = 0.5. (Round your answer down to three decimal places.) 8 = (b) By using a computer algebra system to solve the cubic equation x3 + x + 1 = 3 + &, find the largest possible value of that works for any given € > 0. 8() = (c) Put & = 0.5...
In the previous question we used the chain rule to calculate the derivative fog indirectly from the derivatives off and g. Of course, in the previous question f and g were polynomials, and so a simpler method to find the derivative would be to first evaluate f g and then differentiate. However, this "simpler" method does not always work. For example, use the chain rule f(8(x)) = f'(8(x))g'(x) to evaluate: di sin(x3 +1) = d e(x3+1) -1) = datan-1(x3 +...
Evaluate the limit, using L'Hôpital's Rule if necessary. x3 lim X-00 9eX/5 Step 1 +3 The limit to be evaluated is lim ** 9ex/5 By direct substitution we have the following. *3 lim x 9ex/5 Thus, the direct substitution results in --Select-- form. Submit Skip (you cannot come back)
hw help Use L'Hospital's rule, if applicable to find the limit. x3-27 lim- * +3 e*2-9-1 Select the correct answer. 0 27 ООО DNE or Use L'Hospital's rule, if applicable, to find the limit In(3x2+5) lim X3-7 X00 Select the correct answer. DNE or 00 5 3 -7 Solve the following limit using any valid method. x3 + 9 lim *** in (X? + 6) DNE or o 1 انہتا
a. Use the Chain Rule to find the indicated partial derivatives. z = x4 + x2y, x = s + 2t − u, y = stu2; ∂z ∂s ∂z ∂t ∂z ∂u when s = 1, t = 2, u = 3 b. Use the Chain Rule to find the indicated partial derivatives. w = xy + yz + zx, x = r cos(θ), y = r sin(θ), z = rθ; ∂w ∂r ∂w ∂θ when r = 8, θ = pi/2 c. Use the...
please help me answer All of these questions. Thank you! 1. Use the limit definition of the derivative - lift+A) 6 to find the derivative of the following function: f(x) = 3x-2x? You must SHOW YOUR WORK: 2. Find the slope of the tangent line at x = 4 (using the derivative you just found) 3. Using the point-slope form of the line, find the equation of the tangent line at x=4. Isolate the y. 1. Find the derivatives using...
webession.net This question has several parts that must be completed sequentially. If you skip a part of the question, you will not rece will not be able to come back to the shipped part. Tutorial Exercise Find the derivative of the function. Simplify and express the answer using positive exponents only. ROX) = (x*(x2 + 5x)) Step 1 We want to find the derivative of the function R(x) = (x?(x2 + 5x), simplifying and expressing the answer using positive exponents...
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
∫ cos x /sin2 x + 2 sin x + 5 d x cosa sina x+2Sinx+5 Find the derivative of F=x+2y-6z by using chain rule if x=t”, y=sint and z =Int Find the directional derivative of f(x,y)=x² + xy + y2 at Po(2,3) in the 2 direction of B = i+2j 3 Show that the sequence (2n2) is divergent Find the derivative of F=x+2y-6z by using chain rule if x=t”, y=sint and z =Int Find the directional derivative of f(x,y)=x²...