Use the chain rule to find the derivative of 4√/5x+3x6 Type your answer without fractional or negative exponents. Use sqrt(x) for √x.

Q: Find the limit. use I'Hospital's Role cos(2t) - 1 t-T (c) lim t

A: Given query is to find the limit of the expression.

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Q: Use l'Hôpital's rule to find the following limit. lim (In 6x- In (x+4)) X→∞ lim (In 6x-In (x+4)) =…

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Q: Find the derivative of y=x√x + 1. 1 dy = 2(x+1) ³ + √² ž √x+1 dy dx = dy dx dy √x+1+ dx = x √x+1 = =…

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A: need to find out the correct differential equation.

Q: a) Sketch a graph for the polynomial function. You must include all key features of polynomial…

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Q: Q5. (Newton's Law of Cooling): The mathematical formulation of Newton's empirical law of…

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Q: Solve the corresponding differential equation given the general solution via elimination of…

A: We can find the differential equation of the given curve by eliminating the arbitrary constant a.

Q: (2, 4) & (3, 5) xy xy -1 −1 Slope in context 4 − 5 2-3 || 1

A: To find the slope with given points.

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Q: Find all horizontal and vertical asymptotes (if any). (If an answer does not exist, enter DNE. Enter…

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Q: 3. (a) Evaluate lim 818 3x¹ - 4x² + 7x - 1 -7x4+x³+4 (b) Determine the equation of horizontal…

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Q: Solve for the general solution: 01--0.9+ Cel20/30) 01-0.9+ Cel-20/30 OI--0.9+ Cel-2/300) O1-0.9+…

A: To solve the given differential equation

Q: Question: t²y" - 2ty' + 2y = 4t², t> 0; y₁(t) = t. Please help me solve this using variation of…

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Q: Set up, but do not evaluate, an integral for the length of the curve. ST 2 x = 4 sin(y), Osys (C dy

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Q: 9. Use the Second Derivative Test to find the relative extrema of g(x) = 6x3 + 9x2 − 36x

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Q: Find y" if y = ax³ + bx+c. (a, b, c constant) Answer:

A: To differentiate the given function

Q: Let f(x) = x³ - 3x² - 1. Calculate the derivative f'(x) = Calculate the second derivative f''(x) =…

A: Note:- these are multiple sub parts and according to rule we can do maximum 3 sub parts so i am…

Q: Condense log(x-1)+log(x+2)=1

A: Solution:

Q: Find the divergence of the vector field F. F(x, y) = 5x + 3y²

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Q: Σ(1) 41 1 k2

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Q: Evaluate the double integral 1₂ c where D is the disc with center the origin and radius 8, by…

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Q: . Minimizing inventory costs. Bon Temps Surf and Scuba Shop sells 360 surfboards per year. It costs…

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Q: Suppose that f(x) = 15x - 8 In(x), x > 0. (If an answer does not exist, enter DNE.) (a) Find all…

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Q: Find the exact length of the curve. y 1/4x² - 11/12 In(x), = -X 1 ≤ x ≤ 4

A: We will find the curve length as shown below

Q: 1. Evaluate the given integral [(4x³ - 3√x) dx 12x² a. - 3 2√√x + C 2 1x²-3x² + c x4 X2 C 4 b. 3 x4…

A: Solve the intregal

Q: Using Limits, find the instantaneous rate of change of the following function: f(x) = 2x^2 - 16x +…

A: Topic - Instantaneous rate of range of function using limits We are given,…

Q: Find the Imit using l'Hospital's Role x-3 (i) lim x+3√√x+1-2 (j) lim 1 - COS (k) lim (1-2x)¹/x x-0…

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Q: Find the derivative of the function f(x) = f'(x) = sin x 1 + cos x 2

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Q: Consider the function f(x) = needed. x² x² + 4 You may use the facts that f'(x) = a. Find the…

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Q: 1 2. Find all critical numbers of ƒ(x) = x³ + x¹ −4x³+3. Classify each as a local max, local min, or…

A: On solving this we will get

Q: state the axioms that define a group.

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Q: Evaluate the improper integrals or show that they diverge. Make careful use of limit notation. (a)…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² +…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: determine whether the sequence converges or diverges. if it converges, find the limit. (if the…

A: We can find whether the sequence is convergent or divergent .

Q: Activity 1: Pictures Analysis (eliciting prior knowledge, Motivation, Hook) Observe the pictures…

A: 1. The given diagrams show the following applications of the functions: Continuity of functions,…

Q: M Wed Oct 26 ... 03Q09 Please show all work on this page. 1. Graph the solution of the following…

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Q: Sketch the graph of a function f such that f is always decreasing and f(x)>0 for all real numbers x.…

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Q: Find the value or values of c that satisfy the equation f(x) = 2x + 2 X f(b)-f(a) b-a C= = (Use a…

A: Given: fx=2x+2x , 16,6

Q: 1. Consider the iterated integral (a) Sketch the domain of integration. (b) Change the order of…

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Q: Given f(x, y) = 2e¹* sin(3y) ㅠ then Vƒ(0, ▼ ƒ(0, 7/2) =

A: As we know that ∇f=∂∂xi^+∂∂yj^(f)See below the answer and calculation

Q: Find the derivative of the function y = -7-5x. dx =

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Q: What is 93rd derivative of cos(x)

A: The function is given by y = cosx To evaluate: the 93rd derivative of the function. Formula Used:…

Q: Find the minimum and maximum values of f(x) = x+2 on the interval [9, 10] by comparing values at the…

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Q: For the given function, find each of the following: (A) Intercepts (B) Vertex (C) Maximum or minimum…

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Q: Find the angle between the vectors in radians and in degrees. (Round your answer for part (a) to…

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Q: Solve for the general solution of the given DE: O x In y + In In yl = y + c Ox In x + In In y = x +…

A: We can find the solution of the given differential equation by using the variable separable method.

Q: Let f(x) = 9x² + x³ +20 + 24x Determine the absolute extrema of f on [-5, -1]. If multiple such…

A: The given function fx=9x2+x3+20+24x We have to find the absolute maximum and absolute minimum values…