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Q: Find the average rate of change of the function from X1 to X2 Function x-Values f(x) = x2 - 4x + 6 X…

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Q: Given f(x): find the average rate of change of f(x) on the interval 8, 8+ h. Your answer x + 8 will…

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Q: 1. f(x) = 4x + 7 3. f(x) = 2x -r + 5x %3D

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Q: The integral Jo So dydx represents what? O the area of a triangle the area of a rectangle the area…

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Q: 5. f(x) = x(12.x + 8) 7. f(x) = 7x²/5+ 8x-4/5 %3D

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Q: For the equation given below, one could use Newton's method as a way to approximate the solution.…

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Q: uation of motion in the form x(t) = Ae™it sin( V2 – 2?t + w), which ft

A: answer is in next step

Q: 5 1 dx 0* +5

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Q: On each interval, determine whether the graph of f(x) is concave up or concave down. From x=1 to…

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Q: Next, simplify. - 3t dt = dx

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Q: Find the Taylor polynomial p3(x) for f(x) = 4e² at = 1.

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Q: dx Vx² + 8x An appropriate trigonometric substitution to simplify this integral is x = f(t) where…

A: In the given question we have to find a suitable trigonometric identity to substitute in place of x…

Q: 7 The angle marked d is 70°. Find angle e. 30° d e

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Q: 2.) Suppose E is the solid which is inside the sphere x + y² + z° = 4_and above the plane z = v3 .…

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Q: v(t) = 1.1t2 - 2.6t + 2.3 million hours of video per year (0 sts 9), time in years since the start…

A: Topic:- application of calculus

Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: 3 Evaluate lim et dt. e-t dt. 20 O a) -2 O b) 2 e O) 2 O d) 2 e e) None of these

A: Giveen query is to find indicated limit.

Q: sinx 2 cos*x 4 - Cosx

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Q: Find the smallest value of x for which the series (a + 48)" 2!n(n) n=2 is conditionally convergent.…

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Q: Given a function f(x, y) = 3 – 9 – x² –-(y+1)². Determine the three level curves for the function…

A: We can solve as follows

Q: Consider a triangle where A = 30°, a = 1.5 cm, and b = 1.6 cm. %3D 16 ´B A (Note that the triangle…

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Q: Evaluate || xydydx by reversing the order of integration. 1 Inx

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Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

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Q: b. Engineers are designing a box-shaped aquarium with a square bottom and an open top. The aquarium…

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Q: Determine the indefinite integral 4 7 6r -- 5 4

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Q: When harvesting apples in a grove, the number of apples harvested increases at a rate of R(t) apples…

A: Here, the rate of harvesting increases at the rate R(t) per hour with t≥0

Q: 4. Find the point on the graph of f(x) 5x2 + 20x – 3 where the tan gent line is horizontal. (a)…

A: We have to solve integration

Q: Calculate the following derivative. (Use symbolic notation and fractions where needed.) do dx6

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Q: Question 4 Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 - y(t) =

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Q: Publishing The following table shows the results of a survey of 500 authors by a publishing company.…

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Q: 12

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Q: Solve the following basic calculus problems: d а. cos x dx

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Q: Calculate y" and y". 4x – 7 y(x) (Use symbolic notation and fractions where needed.) y"(x) = y" (x)…

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Q: 3 dx x? + 9

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Q: Calculate y" and y". 4х — 7 y(x) %3D (Use symbolic notation and fractions where needed.) y" (x) =…

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Q: dy I# 2x²y° - 3ry = at the point (1, 2)? 4x. what is %3D da O b) 2/3 O c) None of these O d) -43 e)…

A: Explanation of the answer is as follows

Q: function is defined on the closed interval[-4,8] consists of two linear pieces and a semi circle…

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Q: If Lpl=)dz = 7 and p(z)dz = 9.5 what does the following integral equal? p(z)dz = Question Help: D…

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Q: Write the vector in component form. p|= 98, 330° O O O

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

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Q: Determine wheather the Following g eometric series are convergent or divergent, If they are…

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Q: The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, 1, 1) in the…

A: We want to find directional derivative in the direction of the vector

Q: Suppose that we know that the function f(x) is differentiable at = a, then what must always be true?…

A: We have to choose correct option

Q: 2x +1 Solve the equation 4ª -x+2 = 6**. Leave your answer in exact form. %3D

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Q: The function values f(x) in the table below is increasing for 0 < x< 12. 0 369 12 f(x) 34 35 37 42…

A: (A)  RIGHT HAND SUM   when ∆x=3     then n=12-03=4 The four subintervals are[0,3]   ,   [3,6]  ,…

Q: 3. The possition function s(t) = -1612 + 30t %3D Find : (a) average velocity over the time int erval…

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Q: Use logarithmic differentiation to find dy/dx. 4 y = x> 2 x* + 4 dy dx

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Q: Here are three functions that are related to each other. Correcti Tries: 3 One is f(x). Another is…

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Q: Solve the initial value problem: y' = – 0.03y + 6 y(0) = 50 %3D y(t) = %3D

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Apologies for the…

Q: The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244…

A: (A)∆x=3Then right hand sum =∆x(f(3)+f(6)+f(9)+f(12))                                =3(35+37+42+44)…