Calculate the derivative t4 d dt et √4 + x² dx ←

Q: Let f be a function that is continuous on [1,7] and differentiable on (1,7). Suppose 2 < f'(x) < 3…

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Q: Which of the following does not have the same graph as r = 2 Or -2+3 cos 0 Or -2- 3 cos 0 O r = -2+3…

A: We have to choose the correct option from the given options according to the given information

Q: Consider the differential equation y'' + 6y' +9y = 0.

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Q: Given 2y-√x-z+2√-5y-4z = -5, calculate Provide your answer below: || dz dx

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Q: The following graph of the function f satisfies limf(x) = 2 . For = 3 find a value of 8>0 such that…

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Q: 3) Use the definition of the derivative (which involves limits) to calculate f'(2) given that f(x) =…

A: The function is given by fx = x-22+5 To evaluate: The value of f'2. Formula Used: The value of  f'a…

Q: Find the indefinite integral. (Use C for the constant of integration.) √³x (3) dx Need Help? Fland…

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Q: Find direction Vector a that has the same as (-6,5,67 but has length 4

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Q: 1. Show all solutions and box final answers. Find the value of x where the function is discontinuous…

A: We need to find discontinuity of function.

Q: Question Find the derivative of the function f(x) = ln Select the correct answer below: 3 Xx O f'(x)…

A: The given function is; f(x)= ln[x3(2x+1)/(x2-3)].

Q: A company has $10,890 available per month for advertising. Newspaper ads cost $130 each and can't…

A: Given that  The total money available per month for advertisements is $10890.  Newspaper ads cost…

Q: Let f(x)=10-th (cosh (x)) Find f'(In 3).

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Q: Find the critical point(s) of the function f(x, y) = x² + y² − 40xy. Enter your answer as an ordered…

A: To find the critical points of the function fx, y=x4+y4-40xy.

Q: Find the equation of the tangent line to the curve y = 2 sina at the point (,1). The equation of…

A: m=1.732 b=0.093 For detail...go through the solution...I have solved step by step in detail

Q: Explain why, in any set of 11 positive integers, some two integers must have the same I's digit.

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Q: Solve for z when f(z) = 0 where f(z) = 12z² + 25z + 12. Z=

A: We can find the value of 'z' by solving the quadratic equation in the below steps.

Q: What is the equation of the tangent line to the curve of y = A 2x+9y+1=0 D. 9x+2y+1=0 B. 2x-9y-1=0…

A: Topic = Derivative Correct Option = C

Q: Calculate the first eight terms of the sequence defined by 1 a₁ = 1, an+1 3an +3. Does it appear to…

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Q: The differentiable function f is shown below on the domain (-9, 9). Determine which statement is…

A: Find the true statement.

Q: 17. Determine whether the following set is linearly dependent (LD) or linearly independent (LI). a.…

A: Let's find whether given set is linearly dependent or independent.

Q: a set of parametric equations for the tangent line to the curve of intersection of the surfaces at…

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Q: Two stations, located at ?(−5,0) and ?(5,0) (units in kilometers), simultaneously send sound signals…

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Q: Find the third derivative of the given function. g(t) = √9t + 3 _g"(t) = X

A: We need to find out the triple derivative for the function given.

Q: Evaluate the integral a x²/³ dx. Answer:

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Q: Find all roots of the polynmial equation 2x to the fourth - 7x cubed +18x squared - 42x +36 =0

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Q: 5. Let U(x, y) be the utility function for two goods, X and Y, given by xy² x- Y U au au Find the…

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Q: bax 33. Find the quadratic function f(x) = ax²+bx+c that goes through (2, 0) and has a local maximum…

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Q: Question 4 Question: The number of Americans currently enrolled at college or university is…

A: Explained below

Q: 4. Let f(x)=2x4-5x² + 2x sin(x) *20 x < 0 (a) Prove f(x) is continuous everywhere. (b) Prove there…

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Q: Determine which of the following tests would be best to use to determine the convergence of the…

A: See this solution in below.

Q: Find the first, second and third derivatives of f(x) = 1/x. From this, deduce a pattern and use this…

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

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Q: Evaluate the integral 4 * √i(4+t) dt

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Q: K By computing the first few derivatives and looking for a pattern, find dx d925 925 dx 925 925 (sin…

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Q: Find an equation for the tangent to the curve at P and the horizontal tangent to the curve at Q. Ay…

A: Topic - Equation of tangent line to curve We are given, y=3+cot x -csc xand we know thatslope of…

Q: Does the graph of the function below have any horizontal tangents in the interval 0≤x≤2r? If so,…

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Q: Use logarithmic differentiation to find the derivative of the given function. = (3x² +7²)² (x−³ −…

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Q: Consider the following. x² X + 9 Find the derivative of the function. f'(x) = m = f(x) Find the…

A: The given function is  f(x)=x2x+9

Q: 5. Let f(x,y)= 2x+y x-2y a) Find the exact value of the f(-2,1). Simplify your result to lowest…

A: We need to find out the values of the partial derivatives at the points given.

Q: Exercise 11 Evaluate the limit lim x → T 6 sin x + x- 품) 1/3/5/6 - 1

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (ex + ln y + ²) dx + ( + Inx + siny) dy = 0 y(2x² - xy + 1)dx + (x - y)dy = 0

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Q: 7. Suppose that an experiment leads to events A, B, and C with the following probabilities: P(A) =…

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Q: Use the e- definition of a limit to compute the value of the following limits: 1. 2. lim 2² – 5

A: We  will find the required  limit.

Q: The total spent on research and development by the federal government in the United States during…

A: Given query is to find the total spent on research and how fast it changing.

Q: Evaluate the integral using the FTC 1: [₁(8x² + 7x5) dx = =

A: Given query is to find the value of the integral.

Q: If f(x) = x cosh 1 يع امت - √x² 9

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Q: Consider the function below. (Round the answers to two decimal places. If you need to use - or∞,…

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Q: Find an nth degree polynomial function with real coefficients satisifying the given conditions n=4…

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Q: The rate of growth dP/ dt of a population of bacteria is proportional to the square root of t, where…

A: Given query is to find the population after 6 days.

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) = 5x² +…

A: Given query is to find the derivative using definition.