Find the absolute maximum/minimum value for f(x)=x² – 4x+1 on the interval [(-3, 3] 9.

Q: Radius and Interval of Convergence of a Power Series. 00 Determine the radius and interval of…

A: Solve the following

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: A job applicant estimates that his chance of passing a qualifying examination is , and his chance of…

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Q: dy 4 V -1

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Q: Use implicit differentiation to find the gradient of the tangent line for xy 6xy - 2x = 9 at the…

A: topic- application of derivative

Q: Find the length of segment AB. Round your answer to the nearest tenth. A 51° 26° 20 mi B 15 mi 16 mi…

A: ANSWER: 16 mi SEE ATTACHMENTS

Q: Solve for the differential equation: dy/dx - ytan x = cos x

A: To find the solution of the linear differential equation of first order y'+Py=Q, where P and Q are…

Q: y = x and y =x+2 ve the area about the line x = 3. Using cylindrical shell method, the volume of the…

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Q: f is just that e*-sin(x + y) + cos(x +y)] and = -e* sin(x + y) which if the ollowing is true Select…

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Q: 1. The complex numbers s and t ar as follows: s = 3+i, t= 2 – 3i Calculate the following. a) st +5…

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Q: Solve the following differential equations: . 2y ++ e* (1+) dx + (x+ 2y)dy = 0.

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Q: Determine the convergence or divergence of the series. (If you need to use o or -co, enter INFINITY…

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Q: Find the limit: 4z4 – 4y4 lim (1,9) → (3,3) 4yª z² - y?

A: lim(x, y)→(3, 3) 4x4-4y4x2-y2

Q: Step 2 Fx) dx = 1 To evaluate f(x) dx, substitute f(x) c In = - Therefore, f(x) dx =

A: We have to evaluate given integral

Q: Find the area of the specified region. 5) Inside the limacon r= 8 + 2 sin 0

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Q: .9 dx The integral of the given function is equal to 4 x-Vx a. In2 b. In3 c. In4 d. In5 e. None of…

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Q: Use the graph of the parabola to fill in the table. (a) Does the parabola open upward or downwa O…

A: a.   Parabola opens downward   b. Coordinate of vertax. Is (-2,-3)

Q: 1) Find dy/dr by implicit differentiation. tan n'(xy"+y)= x

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Q: Q1: find dx of the following statement: a) y = cos? sec

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Q: Choose the right description for the given differential equation 3 Sm :) + 8 m бр? COS m + Т. %3D O…

A: The given DE is: δmδn2+δ2mδp2=cos m+T

Q: 9. Verify the identity 1 1 = 2 sec² x 1-sinx 1+sin x

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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: g. f(x) =x' +Vx + h. f(x)=sec(3x)+ tan(5x³)

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Q: Find r'(t). r(t) = (tan-(4t))i+t cos(t)j – Vtk NOTE: Enter your answer in terms of i, j, and k.…

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Q: Use the midpoint rule with n = 6 to estimate the value of the integral (x³ + x)dx. Write the given…

A: To find out the value of integral using the midpoint rule.

Q: Finding the length of a curve. Arc length for y = f(x). Let f(z) be a smooth function over the…

A: To find the arc length of given function.

Q: Which of the following differential equation has the same order and degree? [dy]6 + 5y = e* A. + 8…

A: See the answer below

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: 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: 1 dx X +x13

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Q: y x/x, x-4, and y =0 -2

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Q: -12 1. ("(25x – 46x + 3)dx -12

A: topic- definite integral if f(x) is a odd function∫-aaf(x)=0

Q: b) Find the general solution to the differential equation

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Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is…

A: Ratio Test : Suppose we have a series  ∑ an.Define,   L =limn→∞ an+1an .The,(i)  If L<1 then…

Q: Evaluate the line integral. The simple curve is C is y = x² starting at (0, 0) and ending at (1, 1).…

A: We can solve as follows

Q: The average value of f f(x)dr if c =

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Q: y = xx, x 4, and y = 0 Revolve the area of the shaded region about the line x = 4. Using circula…

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Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

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Q: 10. Find the area bounded by 2. Hhe curves y=8x-x²0ind y=3x

A: topic - area bounded by curves

Q: show

A: As per the guidelines we can solve 3 parts only.

Q: y = x and y = x+2 Revolve the area about the x-axis. Using circular ring method, the volume of the…

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Q: Find V × (V × F) if F(x, y, z) = 5xyj+ 10xyz k. V × (V × F)

A: As we know that; If F→=F1i+F2j+F3k then ∇×F=ijk∂∂x∂∂y∂∂zF1F2F3 Given: Fx,y,z=5xy j+10xyz k

Q: Consider the system of differential equation x' = 5x – 3y - y' = 9x + 9y Write the system in matrix…

A: To find the matrix A.

Q: Evaluate the following definite integral.  4

A: topic- definite integral

Q: The letters r and 0 represent polar coordinates. Write the given equation using r-4 cos 0 Complete…

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Q: 0 in quadrant II, find the exact value of: 81 If sin 0= sin 0+ sin 0+ 6. (Type an exact answer using…

A: topic - trigonometric identities sin(a+b)=sin(a)cos(b)-cos(a)sin(b)

Q: sin ® 3y cos3ydy cos 3y dy

A: We have to find out the integral

Q: F(x) = e2x C = 0

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Q: Determine whether the series is convergent or divergent. If it is conve 00 2 (cos(26))k k = 1 Step 1…

A: Cos (26)= 0.647 Convergent Find the sum of series

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

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