Assume that f(x) dx = 12, and f(x) dx = 9. Given that f (x) is positive on [0,4] and %3D negative on [4,6], evaluate the following integrals. f(x) dx b. (1F(x)l + 4) dx

Q: 1 dx Va? – 6x + 34 Find -

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Q: 2) For the function below f(x)=7x1.1^x, estimate f'(x) using h=0.001 for the following three values....

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Q: (axy-ay) dx +( 3x'y - 4x) dy = 0

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Q: b) The shaded region W is bounded by the curve y = x² + 6 and the line x = 3 and 1 y =x +1 as shown ...

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Q: If is the diameter of the circle with A = (-2,6) and B = (5, 4), then the center of the circle is at...

A: AB is the diameter of the circle with A=-2,6 and B=5,4

Q: 3. S 10x(x² – 1)ª dx 4

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions specify...

Q: a.) Sketch the solid obtained by revolving the region under the graph of f = x2 about the x-axis ove...

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Q: S(x, y, z) = 2x'y²z²

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Q: 4. Using the limit definition find the derivative of f(x) = V

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Q: Use the trapezoidal rule with n = 4 to approximate cos(x) de

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Q: d Az3+7z+8, -4z3. dz d 3. (x)(3x² – 9) 2.

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Q: Question 7 The average change of a function f over an interval (x1, x2] is f(#2)-f(21) First find th...

A: First we find out the average rate of change of f(x) over the interval according to given formula th...

Q: ху'- у - 5х1 — Зх? + 2х %3D 0

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Q: What is the equation of the vector in a Cartesian coordinate system that originates from the origin ...

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Q: 30. A growing raindrop Suppose that a drop of mist is a perfect sphere and that, through condensatio...

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Q: Find the volume of the solid whose base is the semicircle y = V4 – x2 where -2 < x < 2 and the cross...

A: Explained below 

Q: 4 1-1 if I 4 Calculate the following limits. Enter "DNE" if the limit does not exist. lim f(z) = lim...

A: We have to find out limit

Q: -X olx *2+2x+.

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Q: 5æ? about the y axis for 3 < x < 8 Find the area of the surface obtained by rotating the curve y No ...

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Q: v(t) = Vt* – Vt, en find the second derivative, "(t) = ...

A: We will use the following formula to find the second derivative i.e d/dx(xn)=nxn-1

Q: 3. Let f(x, y) = xy² + x°y². Find an equation for the tangent plane at (x, y) (-1,2). %3D

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Q: Evaluate ez dV where E is enclosed by the paraboloid z = 4 + x? + y², the cylinder x? + y? = 1, and ...

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Q: Given the function f(x)=−2x^2 1) Find the difference quotient f(x+h)−f(x)/h 2) Find f'(x) by deter...

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Q: 0.3 0.6 0.9 1.2 1.5 h(q) 19 30 46 73 114

A: To find the h'(0.90), means calculate slope between [0.6,0.9] h'(0.90) = h(0.9)- h(0.6)0.9-0.6=46-30...

Q: 54. Let L = lim 9L is equal to 2e e then the value of L= 2e2 3. and Imactting

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Q: Use integration by parts to evaluate the integral: $ds %3D

A: According to integration by parts:

Q: 5. After a new version of a certain type of computer is released, the total worldy profits (in billi...

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Q: 7. Let f(x, y) = xy² and r(t) = (2t2, t³). (a) Calculate V f. (b) Calculate r'(t). (c) Calculate f (...

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Q: Find the standard form of the equation of the ellipse with the given characteristics and center at t...

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Q: Which of the following lines is an asymptote of the hyperbola (2- 1) (y+1)2 = 1? 4 9. O 2x +3y-1 = 0...

A: We will find the asymptotes of the hyperbola.Below find the solution in the image.

Q: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: Find the particular solution for the differential equation: y' + xe = -2x %3D for the boundary condi...

A: Topic = Differential equation

Q: differentiate the following function: 1. f(x)=3-2x+4x^2 2.  3.

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Q: Question 17 Consider a polynomial f (x) = ax³ – bx + c. Find the value of b if f' (2) = 0 and f" (2)...

A: To find out the value of b. 

Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

A: Let's the check the answer by using differentiation   ddx2xx+153=23ddxx32+15x                       ...

Q: Write an explicit formula for the table. Term 1 2 3 4 (n) Value (an) 30 150 750 Explicit formula: an...

A: Given table:- Term (n)  1 2 3 4 Value (an)  6 30 150 720     To find:- Explicit formula ...

Q: 3. The disk and cylindrical shell methods for calculating the volume of a solid of revolution always...

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Q: Find the volume of the solid generated by revolving about the line y=-1 the region bounded by the li...

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Q: +0+ dx 3. = TE 1+ x2 -00

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Q: Find the length of the minor axis of the ellipse 16x? + 25y? = 400? 0 8 O 16 O 5 O 4

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Q: Evaluate the integral: ap- (A) Which trig substitution is correct for this integral? Or = 10 tan(0) ...

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Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: x+3 4. S dx (x²+6x)²

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Q: In using the technique of integration by parts, you must carefully choose which expression is u. For...

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Q: 4. Find the exact arc length over the interval. from x = 2 to x = 3 16x2 a. x = b.x =y* from y = 1 t...

A: As per the bartleby guidelines when student post multiple question we have to solve first one.so, i ...

Q: 5e*dx V9-12e3* +4e6x

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Q: . Find the area bounded by the curve f(x) = (2+x)(x – 5), the lines = -2, line = 0 and the x - axis.

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Q: Find the volume of the solid with the given base and cross sections. The base is the circle x? + y? ...

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Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point (1...

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Q: d (4z' +7z+8 2.)- dz Evaluating the derivative using quotient rule:

A: Given that ddz4z3+7z+8z Solution :using quotient rule ddz4z3+7z+8zzddz4z3+7z+8-4z3+7z+8dzdzz2z12z2+7...