f(x)= sin (x² +2x)

Q: 3 (a) | (7)dx (c) dx (sin x + 1)dx (b) L (x° + 2x + 1)dx (d) 0,

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Q: 1 dx X +x13

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Q: 17. The base of a triangle is increasing at a rate of 2in/min. If the altitude is always twice the…

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Q: Find the equation of the tangent line to y=(3x+4)3 at the point where x= -2

A: here given y= (3x+4)3 slope  of the tangent line is y'    Here y' = 9(3x+4)²   Value of y at x=-2 is…

Q: Explain why the integral is improper. 18 .6 1.4 1.2 y F0.8 F0.6 F0.4 F0.2 -2 -1.5 -1 -0.5 At least…

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Q: The percentage of alcohol in a person's bloodstream t hr after drinking 8 fluid oz of whiskey is…

A: answer is in next step

Q: Find the sum of the series. s 7(-1)"72n + 2n + 1(2n + 1)! 00 Σ n = 0

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Q: The area bounded by y =3Vx and 2y =3x is revolved about the x-axis. Using cylindrical shell method,…

A: Solve the following

Q: Evaluate the definite integral. Use a graphing utility to verify your result. U-5 np

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Q: VI. Use Lagrange Multipliers to solve the following: Maximize f(r, y, ) = 4x + 2y +z subject to z +…

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Q: Find (a) the critical numbers of f (if any) (b) the open intervals on which the function is…

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Q: III. In a particular very small region, the consumer price index, C, depends on the current value of…

A: Let's find.

Q: 1) Find dy/dr by implicit differentiation. box answer tan (xy¯+y)= x

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Q: y = 4x (4. 4) y 2x-4 5 (1,-2) Using a horizontal element of area, the area of the shaded region is…

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Q: Find the area of the shaded region. y = x² +1 %3D 5 y = x -1 A 23 2. 2/2

A: Given

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Q: Find y' and then find the slope of the tangent line at (4, 1849). Round the slope and y-intercept to…

A: Explained below

Q: One model for the spread of a rumor is that the rate of spread is proportional to the product of the…

A: Please see the below picture for solution.

Q: Determine the vector field of F. F(x, y) = yi – xj

A: Given:     F(x,y) = yi - xj.          ---------(i) We have to determine the vector field of equation…

Q: The arc y = x² from (0,0) to (2, 4) is rotated about the y-axis. Find the area of the resulting…

A: We want to find surface area

Q: In ASTR, t = 15 ft, r = 16 ft, mLS = 35°. Find the area of the triangle and round to the nearest…

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Q: The force F (in newtons) of a hydraulic cylinder in a press is proportional to the square of sec x…

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Q: Determine if the given series is absolutely convergent, conditionally convergent, or divergent. Show…

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Q: Consider the following. y = e−x2   Find ) y ' =   Find the slope m of the tangent line to the graph…

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Q: Sketch the graph and set up the integral of the area of: a). Inside r1, but outside r2 b). Inside…

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Q: 12 Let y24xー4x+3 le) Find the eauetion.of the tangent Iine to the graph of the fuuction att x-2; O…

A: We have to find tangent line

Q: Find the area lying outside r = 6 cos 0 and inside r = 3+3 cos 0. Area =

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Q: V4.01 V4.01 Give your answer correct to Use differential to estimate the value four decimal places.…

A: topic- differentials

Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

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Q: The Mean Value Theorem states: For any function, f, differentiable on (a, b) and continuous on [a,…

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Q: dy -1

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Q: 2. Find the desivative ofy= Binx

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Q: Write the given decimal as an infinite series, then find the sum of the series, and finally, use the…

A: The sum of the infinite geometric series with first term a and common ratio r is given by…

Q: 15x + 44 -5x + 84=26 then astructions: Rewrite each Systems of equatons as amatrix, perform cow…

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Q: 4. Find the area between y=Z+3. and ys-xt1ox-9

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Q: Find the area of the shaded region. x = -y 2 x = 2 - -2 A B 10 3 2.

A: Given query is to find the area of the shaded region.

Q: 1. Find the most general antiderivative of the function f(r) = + sin(4 -r)+ 7e dr

A: We have to find antiderivative of given function

Q: 12 (25x – 46x' + 3)dx J-12

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Q: Use the Root Test to determine the convergence or divergence of the series. (If you need to use ∞ or…

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Q: To find the distance AB across a river, a distance BC 1226 m is laid off on one side of the river.…

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Q: 20. The length of a rectangle is increasing at a rate of 5 cm/sec and the width is decreasing at a…

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Q: Find the area of the shaded region. x = -y x = 2 – y? -2 2 10 В

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Q: (cos(x)) dx cos(c) 3.

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Q: Showing all work, use the method of your choice to find the volume of the solid obtained by rotating…

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Q: Problem 7. Solve the equation logx+log(x+1) = log12 and leave your answer in exact value.

A: Topic = Algebra x=3

Q: Evaluate the definite Integral by the limit definition. Step 1 To find the deinite Integral by the…

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Q: Find the minimum speed of a particle with trajectory c(t) = (t3 – 4t, t2 + 1) for t > 0. Hint: it is…

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Q: Find 17. d Ssin (4x) cos(4x) dx

A: Use substitution to solve

Q: Differentiate the following using logarithmic differentiation y = x=

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Q: Determine the area of the given region. y = x + sin x y 4 3

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