Find the derivative using the chain rule of the following: 4 f(x) = (1+x4_. NO NEED TO TYPE IN YOUR ANSWER IN THE ANSWER BOX AS LONG AS YOUR WORK IS ON YOUR UPLOADED WORK

Q: Consider the following parametric equations. x(1) = √i y(t) = 1²-21 (C2a) Find the equation of the…

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Q: A company will need $55,000 in 6 years for a new addition. To meet this goal, the company deposits…

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Q: Suppose you are climbing a hill whose shape is given by the equation z = 1100 0.005x2 - 0.01y2,…

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Q: Given the series: Σ(-1) k does this series converge or diverge? converges diverges If the series…

A: We can solve this problem by using Geometric series test or Cauchy's nth root test.

Q: 1) Find the linearization L(x) of f(x) at x = a. f(x) = 2x2 + 4x - 1, a =

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

Q: The function f(x) has a domain of (-∞, -1) u (-1, ∞) and a second derivative given by the following.…

A: Topic = Functions

Q: 0.022t The exponential model A = 752 e describes the population, A, of a country in millions,…

A: Given that A=752e0.022t Here to determine the year when the population will be A=1362 million…

Q: Lim x>>9 [(6*sqrt x - 5) / (x - 22)]

A: Given query is to find the limit.

Q: The domain of the function f(x) = √e-4-elx-3|—x is O(A) the empty set (B) a half-line of the form…

A: The given function is  f(x)=e-4-ex-3-x

Q: 4. ( sin(x)+1 x 05x+e+(x−1)² a. lim b. lim x-0 c. lim x-1 tan(-x) 2x sec(x + 4) = √2x+2-2 1-√√√x >…

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Q: 4. At what point does the exponential function overtake the linear function on the interval (0,00)?…

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Q: cricital numbers of f(x): ng the second derivative value test, list the critical point(s) that can…

A: f(x)=x4(x-3)7 Critical points can be calculated using f'(x)=0

Q: 1 for convergence, you 6k8 + 8k¹2 k = 1 will use the Limit Comparison Test, comparing it to the p 1…

A: soution:-∑k=1∞16k8+8k12ak=16k8+8k12Limit Comparison Test using the P series ∑k=1∞1 8kP where…

Q: Let f(x) = -x- 8x³ + 6x + 3. (a) Find the interval(s) where f(x) is concave up. (Enter your answer…

A: Let's find concave down and up interval and inflection points.

Q: 2 Given Cost and Revenue functions C(q) =q³-9q² +53q + 5000 and R(q) = -3q² +2400q, what quantity…

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Q: Provide a cheat sheet for Trig Identities. Example: sin(2x) = 2sin(x)cos(x)

A: The objective is to Provide a cheat sheet for Trig Identities. Example: sin(2x) = 2sin(x)cos(x)

Q: Find the equations of the lines tangent to the curve: 2e^x = y^2 − x, at x = 0.

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Q: Evaluate the limit using L'Hospital's rule if necessary lim (1 + 12) ² €-8

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Q: A manufacturer of Blu-ray Discs (BDS) estimates the yearly demand for a BD to be 10,000. It costs…

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Q: 8.) f(x) = (x+3)(x-4) 2(x-1)(x+2)

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Q: Find the future value for the ordinary annuity with the given payment and interest rate. PMT=…

A: To find the future value.

Q: Consider the function f(x) = 4 − 6x² on the interval [ – 1, 4]. Find the average or mean slope of…

A: To use the mean value theorem on the given function

Q: A graph is defined by the equation y²(2-x) = x³. Part A: Find dy Part B: Find the equation of the…

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Q: The demand function for beer is given below, where p is the retail price and D(p) is the demand in…

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Q: Use implicit differentiation to find the points where the parabola defined by x² - 2xy + y² + 4x −…

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Q: Part I Directions: Use the following list of words to help you answer the questions below. "Slope",…

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Q: 5. Let f(x) = 2√x + 4. (b) (c) Find the domain and range of f. Graph f. Label at least 3 points on…

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Q: If the national debt of a country (in trillions of dollars) t years from now is given by the…

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Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. 114 O C. 24 3 2√x +C 23 --x² + C 3 O b. O d.…

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Q: Evaluate the integral. 5 dx 1 (x² - 1)3/2 0.134080 X

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Q: Choose the correct statement about the below function 00 B O One to one and onto O One to one but…

A: By using function theory

Q: Use the steps to curve sketching to graph the following functions 3.) f(x)=x²-12x+36

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Q: vinarixinvaxana Pic г.) 4. Find Brune fronor. [

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Q: Given the series: k 3 Σ2. (2) 11 k=0 does this series converge or diverge? converges diverges If the…

A: The objective of the question is checking the series and determine its sum.

Q: Əw Find when r = 3 and s= - 3 if w = (x+y+z)²₁ x=r-s, y = cos (r + s), z = sin (r + s). ər Əw ər |r=…

A: We will find as shown below

Q: Let u(x) = sin(x) and v(x) = x20 and f(x): u'(x) = v'(x) = f' = u'v - uv' v² = u(x) v(x)

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Q: -3x+8 x-7 Fill in the blanks below. (Note that it is common to say a limit "has a value of" oo if…

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Q: Answer the following Questions: 1. Evaluate the integral using partial fractions method: S 3x²-4x+7…

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Q: For the given function, find all values of c over the interval (4, 8) stipulated by Rolle's Theorem…

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Q: Find nontrivial functions f(x) and g(x) such that f(g(x)) a. f(x) = b. g(x) = = - 4 x+6

A: Given function:- fgx=-4x+6

Q: Given the function g(x) Find the first derivative, g'(x). g'(x) Evaluate g''(-5). g''(-5) = 8x³…

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Q: 3. Compute the double integral √² + y²dA where D is the part of D the first quadrant lying between…

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Q: Set up the double integral [ f(x,y) dA, where f(x, y) = 5e¹²r – 5 and D = {(x,y) | e¹/³ ≤ x ≤ e, 4ln…

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Q: In Exercises 21 - 30, eliminate the parameter in the given parametric equations. 21. x= 2t +5, y =…

A: Given: x=2t+5 y= -3t+1

Q: Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain…

A: To solve the given logarithmic equation.

Q: Compute the gradients of the following functions. (a) f(x, y, z) = 3x exp(-x² - y² – z²) (Note that…

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Q: Use a double integral to find the area of one loop of the 2 cos(30). rose r =

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Q: Determine whether the sequence with the given nth term is monotonic and whether it is bounded. Use a…

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Q: ['yes' dy. Ans. (1 - ¹).

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Q: -uppose y = anx on an open interval I that contains the origin. Express the n=0 ollowing as a…

A: We have to find out