QUESTION 8 True or False: Only one-to-one and onto functions may have inverse functions. O True False

Q: ! Consider the nonhomogeneous DE: y" + y' - 6y = (12 – 16x)e*. A) Verify that y, = 4xe* is a…

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Q: sin 3at where a is any positive constant and s > a. t

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Q: Identify whether the following functions are continuous or not. Write your solutions on a separate…

A: Find your answer below

Q: x = e', y= te', z= te"; (1,0, 0)

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Q: 33 1 2s5 6s3

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Q: Find the marginal profit for producing x units. (The profit is measured in dollars.) P = −0.3x3 +…

A: Find your answer below

Q: Solution: Step 1: The function f(x) needs to be verified continuous at the open interval (-1,1) by…

A: Let's find.

Q: Bookmarks Window Help History ut.blackboard.com Mail - Abigale E... Mail - Abigale E... E 4/16/22 -…

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Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

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Q: Question 1 What is f' (a) ? O The inverse function of f at a O The average rate of change of f at a…

A: Given problem:- what is f'(a) ?

Q: Let f(x) be the function 10x - 2x + 9. Then the quotient f(4 + h) – f(4) can be simplified to ah + b…

A: f(4+h)-f(4)h=(10(x+h)2-2(x+h)+9)-10x2-2x+9h=10x2+10h2+20xh-2x-2h+9-10x2+2x-9h=10h2+20xh-2hh=h(10h+20…

Q: Graph the region bounded by r= 6cos3θ

A: We have to graph the region bounded by  r = 6 cos 3θ.

Q: Hu Tao has 420 feet of fencing material and uses it to start a kernel by building 5 identical…

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Q: The average value of the function y = 10 x In(4 x) on the interval [3,7] is О 50.05 O 152.14 O…

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Q: Find the derivative of the function. y = 4t   t + 7 y' =

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Q: Test the series below for convergence using the Ratio Test. n° 1.3" n=1 The limit of the ratio test…

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Q: 4. S V tan x sectx dx

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Q: A particle moves in a straight line with velocity 8 – 2t ft/s. Find the total displacement and total…

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Q: I. Evaluate the following. 3450°-j12 a. 14 + j2 – -j15 (3450°-j12) b. j2 x 32-25° -j15 5-j2…

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Q: 2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz) has a maximum or a…

A: Given problem:- (2) (a) Using the method of Lagrange multipliers find the points at which e^(xyz)…

Q: Find the derivative of the logarithmic function. y = In 6 + e 6- e*. Step 1 The given function y =…

A: We will derivate the function step wise as asked in the question.

Q: Σ (-1)^3" 29ח n = 1

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Q: A partial sum of an arithmetic sequence is given. Find the sum. 0.9 + 3.9 + 6.9 + . . . + 78.9 S =

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Q: A population of insects increases at a rate of 220 + 8t + 1.5t² insects per day. Find the insect…

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Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

A: Solved below

Q: Use the simple interest formula to determine the missing value. p= $1475, r=?, t 2 years, i= $41.30…

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Q: 9. Which phrase best describes a function which has the following table when it's graphed. |-2 -1 -1…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Explanation of the answer is as follows

Q: Find an equation of the Hyperbola that has Foci (-1,–3) & (-1, 7) with asymptotes y = x+ & y = -a+…

A: Standerd equation of hyperboal is (x-h)2a2-(y-k)2b2=1where (h,k ) be the center

Q: Estimate the instantaneous rate of change at x= 1 for Ax) = /x + 1. a) -2 b) -0.5 c) 0.5 d) 2

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Q: Find the equation of the tangent line to the curve y=csc(x) at x=pie/4

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Q: Justify your answer whether the following functions are continuous or not at a certain point or…

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Q: QUESTION 1 A student has received the following marks Test No 1 Test No. 2 57 9% Test No. 3 Test No…

A: Explained below

Q: Find the third derivative of the function. f(x) =  5 x

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Q: Find a general solution. Check your answer by substitution. ODES of this kind have important…

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Q: Consider the following. (The graph Is called a serpentine.) 36x +36 Find the derivative of the…

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Q: r4 1- So ey/Vx dy dx 2.

A: Explanation of the answer is as follows

Q: Test the series below for convergence using the Root Test. n2n (In(n))" n=2 The limit of the root…

A: To solve thsi question we will apply the concept of root test and limit.

Q: 2) Solve triangle ABC if a = 4,b=7,c 6. Round your answers to two decimal places.

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Q: -2n f) S“ cos 2x dx g) S et² t dt h) S x sin(x²) dx

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Q: A population of 460 bacterta Is Introduced Into a culture and grows in number according to the…

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Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Maximize…

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Q: Consider the DE У" - У" — бу %3D0 = e-2x and A) Verify that yı = 5, y2 y3 = ex are solutions of the…

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Q: 1) Find the exact length of the polar curve r = 2+2 cos 0. Show All Your Work!

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Q: x² +2r-8 x² + 3r – 4 + 3r - 4 S(x)

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Q: A rock is thrown upward from a bridge that is 53 feet above a road. The rock reaches its maximum…

A: Solved below

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 5, –3) vw(7, 5, –3) =…

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Q: A triangle has variable size x.y.z subject to the constraint such that the perimeter is fixed to…

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