x=1), 3. Y = In (x-1), (х-2)2

Q: Differentiate the function In x f(x) = In 2x+3 %3D x>0

A: The given function is: f(x)=ln xln 2x+3,x>0

Q: 3. For Z = x²secy,prove that Zxy is equal toZyx

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Q: Application 3-Given that a=log, 3 and b=log ,6, find log, 24 in terms of a and b ommus icotion

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Q: Y = x**

A: Given query is to find the derivative.

Q: Find the derivative of the trigonometric function. y = cos(7x)

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Q: Let P(x) = 7x² + 6. Estimate the slope of the tangent line of this function at the point x = 3.…

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Q: Given f''(x) = 5x + 3 and f'(– 3) = 3 and f( – 3) = - 6. Find f'(x) = and find f(2)

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Q: Find the gradient of the function at the given point. g(x, y) = 5xe/x, (12, 0) Vg(12, 0) =

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Q: Scacix dx

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A: Given problem:- A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder…

Q: Consider the following cost function. a. Find the average cost and marginal cost functions. b.…

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Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: -2 -1 1 3 6

A: Given Graph:- To find:-

Q: Question 1 -x2 1 4a?t prove that VE If v = dv ôt

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all…

A: We will find all the correct options of this problem related to Rolle's theorem as following. As per…

Q: and the y-axis. 2. Evaluate , 5x³ cos(y³) dA, where D is the region bounded by y = 2, y =:

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Suppose that f(2) = -5, g(2) = 3, f '(2) = -2, and g'(2) = 4. Find h'(2). (a) h(x) = 4f(x) – 3g(x)…

A: As per our guidelines we are solve only first question you can repost other questions in next…

Q: 0; x 0

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Q: Write an expression, of the type A log(x • B), for the transformed logarithmic function shown below:…

A: Given query is to find the function for indicated graph

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A: Given: Point (0,0,0) Vector : v = <6,1,4> (a) The parametric equations for a line passes…

Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: Use scratch paper to complete the table below, and estimate the value of the lim,0* f(x) where f(x)…

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Q: Find the two -intercepts the function r and show that 7 (x) = 0 some polnt between the two. f(x) =…

A: Given query is to find the x intercept.

Q: Question For the function f (x) given below, evaluate lim f(x) and lim f(x). X00 X-00 f(x) = 6 cos…

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Q: The figure shows the graph of a cubic polynomial. 1,e 1,0 -6 The function graphed is f(x) = Hint:…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: f(x) = x- 50x² + 4 (a) Find the interval on which f is increasing. (Enter your answer using interval…

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Q: (c) If 0 < k < n, prove the formula n(n - 1) -- (п - k+ 1) k k! (d) A class contains 10 students, 6…

A: The difference between permutation and combination is that A permutation is a method of arranging…

Q: Given the differential equation, confirm that the function y(t) is a solution to that equation: 1.…

A: We have to find if the given y(t) is solution to the differential equation or not.   According to…

Q: Use the definition of a normal subroup to prove Proposition 2.3.7: IfGis an Abelian group, then…

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Q: SxVx + 1dx = -(x+ 1) +(x + 1) +c

A: This question is based on indefinite integral.

Q: u = -6i – 2j – 4k, v = 2j + 2k (a) Find the projection of u onto v. (b) Find the vector component of…

A: We have to find projection

Q: Determine the one-sided limit of the function f in the figure at the given point. 15 10- 5. (Use…

A: Given query is to find the Indicated limit.

Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find the volume of the parellelepiped having given  adjacent  sides u,v and w.

Q: Q8. The general solution of the differential equation dy x-1 %3D -2 is dx y+2' Y #

A: Given query is to find the solution of the differential equation.

Q: 0.8 0.6 0.4 0.2 (c) -0.3 -0.2 -0.1 0.1 0.2 0.3 0.3 0.2 0.1 0.2 0.4 0.8 10 -0.1 -0.2 (d) -0.3 x = 0.5…

A: 1.  x=0.5-0.5ty=1-t2 Answer is (b) 2. x=t3-0.7ty=1-t2answer is graph (c)

Q: Find a possible point of inflection of the curve y x +3x2 + 6x

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Q: x³-3375 Use scratch paper to complete the table below, and guess the value of the limx→15 2225 х…

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Q: 00 Expand the function in a power series a,x" with center c 0. Find a,x". 8+7x

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Q: The area of the shaded region is . (Type an exact answer, using x as needed. nd the area of the…

A: Given region is bounded by two curves y= 22 and y=2 sec(θ) tan(θ)  for θ∈-π4, π4

Q: a + 2b – c + 4d = 1 -a – 3b + 2c + 2d = 4 2a + 2b – c + 2d = 2 a + 2b +c = 1 using, a. Cramer's Rule

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Q: manufacturer of lighting fixtures has daily production costs of C = 800 - 30x + 0.75x^2, where C is…

A: Given query is to find the value of x for minimum cost.

Q: dy 1. Evaluate the dx for parametric equations x = 2t? – 4t and y = t2 – 2 with respect ot the…

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Q: 2. One ounce of cooked meat contains 7 grams of protein. If you are going to add Keto Chow into your…

A: Given information: 1 ounce of meat=7 gm of protein1 Keto diet=15% of total calorie required1 Keto…

Q: Find the volume of the solid under the plane 9x + 3y – z = 0 and above the region bounded by y = x…

A: Solution: y = x y = x4

Q: g(x)=arcsec(4e^x) Find the derivative

A: Find the derivative of the function.      g(x)=sec-14ex

Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: Use scratch paper to complete the table below, and estimate the value of the lim,o+ f(x) where f(x)…

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Q: Find the derivative of the function. y = cos( V sin(tan(3x)) y' =

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