Use the limit process to find the derivative of the function. f(x) 6 PRE 12x f'(x) = 6x3 X

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Q: Please answer one question asap. Thank you!!! 26. Find the intercepts of the plane [x,y,z] = [5,4,3]…

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Q: 1 Let v=v [AB] and w=v [CO]. Determine when V and w are or thogonal. A=(0,0), B= (2,3), (= (3,-2),…

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Q: DATE: NO. 1. Find the equation of the plane through the line xt! 3 9-1 2-2 14 = 2 4 to the plane…

A: Solution of the given question is like as

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Q: Score: 24/28 24/28 answered Question 26 7 csc² 0 Evaluate the integral de 9 4 cot 7 csc² 0 de 4 cot…

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Q: (d) Consider the following system of linear equations: 3x+5y 2z -7 - 2x+2y-4z = = -6 2x+4y = 8 (i)…

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Q: 6. Decide looking at the partial fractional decomposition in (a) whether ff(x)dx converges.

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A: Question 5.Solution:Let,∑n=1∞​an​=∑n=1∞​n1​ Here, an​=n1​limn→∞​an​=limn→∞​n1​=0 But ∑n=1∞​n1​ is…

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Q: Can you please find the Limit if it does exists, and if it doesn't can you put DNE

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Q: -1 (c) (i) Prove if A is invertible, then AT is invertible and (AT) ¯ = (1-¹)”. (ii) Prove if A and…

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Q: 7. Use function composition to solve the equation (x² - 5)² + 7x² − 23 = 0. (Hint: Note the equation…

A: Step 1: Rewrite the EquationThe given equation is:(x2 - 5)2 + 7x2 - 23 = 0 We can rewrite it by…

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A: Step 1:Solutiongiven that point (1,15)( 3,375)function is f(x)=cbxput x=1 as f(1)=15f(1)=cb1=15it…

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A: a. We have: u=<5,1> and v=<1,−3>.Now let us calculate the dot product.…

Q: (a) Consider the following system of linear equations: x y 3z = 9 5x + 2y + z -3x-y = -30 = 4 (i)…

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Q: Find the derivative of each function. Do not simplify your answers a) g(x) = (7x-1) In (a) 5 - 15 b)…

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Q: (b) Show that u, v, and w are coplanar, using the definition that there exist two nonzero real…

A: Given the vectors u = (1, 4, -7), v = (2, -1, 4), and w = (0, -9, 18), we can set up the following…

Q: Use the graph of h(x) below to evaluate each. a) h(-2)= ⇒) h(0) = c) Find all x where h(x) = 2. x =…

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Q: Why will the alternating series test NOT apply to Σn=1 (-1) sin ((2n+1)) n 2 -?

A: Step 1:The alternating series test (also known as the Leibniz test) can be used to determine the…

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Q: DATE: NO. enough •1 Find the length of v if there is information; otherwise indicate there is"…

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Q: Assume that ex equals its Maclaurin series for all x. -5x4 Use the Maclaurin series for e to…

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A: On analysing the given graph, note that it resembles the graph of f(x) = x2 . Hence, the derivative…

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Q: x+1 Find the domain of g(x) = . Write your answer in interval notation. √x² - 2x - 8

A: g(x)=x2−2x−8​x+1​To find the domain of the function of the given function g(x), we've to find…

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Q: 1. Express in terms of i,j, and K, given that V is equivalent to the directed line segment PQ, where…

A: Part 2:Explanation:Step 1: Finding \( \overrightarrow{PQ} \)Given the coordinates of points P and Q,…

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Q: that DATE: NO. 1. Suppose to a vector 4, and that AC and DF are also both equivalent. Y. Show that…

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Q: 1. (a) Prove that ∞ (−1)nn en converges using the Alternating Series Test. n=2 (b) Find the smallest…

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Q: Please review the screenshot and provide a solution. Please make sure that the solution is formatted…

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Q: (b) Let A = [3-2 5 2 -4] - -1 0 = (³ ³ ³ ], B = [² 3], and C = [132] 2-3 -1 Compute the following: -…

A: Step 1: Here we are given three matrices A ,B and C Such that:A=[32​−2−3​5−1​] B=[2−1​−43​]…

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A: Synthetic Division and Remainder Theorem:Synthetic division is a streamlined method for polynomial…

Q: Find the vertical asymptotes of the function. x = y = x²+1 7x-2x2 (smaller value) x= (larger value)…

A: To find the vertical asymptotes of the function y=7x−2x2x2+1​, we need to identify the values of x…