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Q: Evaluate the integral. V3 8 dx /1/v31 + x

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Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. 1. dx dx 2. xV4-x?

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Q: |i cos t?dt can best be evaluated by: A Trigonometric Transformation B) None C Integration by Parts…

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Q: Question 3 Determine the derivative of In(csc x) cot x Csc I - cot x CS z Previous

A: A detailed solution is given below

Q: 2. Give the domains for the following functions where: 1 f (x) = and g(x) = V4 – x 1 (i) (ƒ og)(x)…

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Q: Find curl (4z i+ 5x j+ 9y k). curl (4z i + 5x j + 9y k) = ( Di + ( j + ( i i )k

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Q: Find y': %3D Oy =- Oy=--

A: A detailed solution is given below

Q: 2. A turns 100 RPM and B 150 RPM as shown; they are connected by rolling cones. Calculate the cone…

A: Solution: wa = 100 rpm wb = 150 rpm

Q: Differentiate the following function y = e log(4") You may use Insert -> Equation to help you input…

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Q: 'ind the relative maxima and minima of the function y = f(x). ind the intervals of concavity up and…

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Q: | (ax³+ bx² + cx) dx = 2b x²dx where a, b and c are constants. (A) True B False

A: We need to show in this question whether the two integrals are equal or not

Q: Question 10 sinh a For y= V find y' at x = In2 e* Oy = 0 Oy = 12 Oy = 2/6 Oy =

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Q: Evaluate the integral. V3/2 dr V1- r2 |

A: We know, ∫dx1-x2=sin-1(x)

Q: 19 1(x) = -0.6(x – 267.05) + 12.34

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Q: eshows wire 1 in cross section; the wire is long and straight, carries a current of 4.00 mA out of…

A: To find x- component of force on wire 2 due to wire 1.

Q: 1. (Section 8.1) In surveying, it is often necessary to determine the height of an inaccessible…

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Q: If f(x) cos-(2x+5) 2, then dom(f) = %3D a+3 (A) (–3, –2) (B) [-3, –2] (С) (-3, —2] (D) (–1,1) (E)…

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Q: (b) Using the Power Rule for differentiation, find the derivatives for the following functions: (i)…

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Q: Find dy/dx. x = Vt y = 9-t %3D dy dx

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Q: S- 3 dy 3y - sin –+C 4– 9y2 3 A True B) False ||

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Q: Find div F and curl F if F(x,y, z) = x°i – 11j + yzk. - div F= curl F=

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Q: Find the derivative: 2 (2 + y) = y? O y = y(2-y) z(1+2) z(2z+y) y(1-2) Oy = 2+) z(1-2) y(22+) |3D Oy…

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Q: 3. y = In? (csc2x). Find y"

A: y=ln2(csc2x)

Q: Find the intervals on which f is increasing and decreasing. f(x) = - 3x + 2x2 + 7 On which…

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Q: Find curl (7z i + 8x j+4y k).

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Q: Refer to the given below. Find the indefinite integral. Simplify your final answers (Just like how…

A: i)∫(2x3+12x2-5)dx=∫2x3dx+∫12x2dx-∫5dx                                   =2∫x3dx+12∫x2dx-5∫dx…

Q: - 4g° + 1000g, where R(g) is in dollars Suppose a product's revenue function is given by R(g) g is…

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find k(t). r(t) = ellti+etj K(t) ||

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Q: A box with an open top and a square base must have a volume of 32 cubic meters. How do you find the…

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Q: Question 2 Differentiate the following function without simplifying y = arc sec(sec(02)) You may use…

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Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y=…

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Q: 2. y = [log(arccotx³)]coshx. Find dy/dx

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Q: You are given the following information about a termite colony population. The current population is…

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Q: Credited Critical Thinking Problems 1. (Section 8.1) (10 points) In surveying, it is often necessary…

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Q: 2. Integrals containing sin u cos v can be solve using identity. (a) Double-angle (b) Half-angle (c)…

A: Let's find.

Q: Sins 느 x Uos

A: We need to evaluate integral.

Q: dy Given the equation below, find dæ - 51a" + 7a"y + y10 = - 43 dy 172 (15 – 1422y) 29. dæ Now, find…

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Q: The depth of the water in a cylindrical tank 4 m in diameter is increasing at the rate of 0.7 m /…

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Q: Two positive numbers have a sum of 87. What is the maximum product of one number times the square of…

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Q: Use the function to find the image of v and the preimage of w. T(V1, V2, V3) = (V2 - V1, Vị + V2,…

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Q: Find the eigenvalues of the matrix and determine whether there is a sufficient number to guarantee…

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Q: Given: y = arctan sinh find y' at x = 2 %3| cosh 1 %3D 1+sinh? 1 cosh 1 O y = %3D 1+sinh 1 cosh 1…

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Q: 5. [sin-' x dx Ans. x sin'x - V1-x² +

A: We will use integral by parts to evaluate integration of arc sinx

Q: g(x) f(x) - sin(2²) dt, find f(x). = J

A: To Find: f'(x)

Q: -2 2. S- dx x(x-1)

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Q: Find the area of the region enclosed by y 3.5x and a = 6 – y?. Use horizontal strips to find the…

A: Given

Q: A. Plane Area in Rectangular Coordinates Find the area bounded by the given curves. Sketch the…

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Q: Represent the following equations in R? by a vector-valued functions. Imet gaoglecomis shwing your n…

A: Given

Q: as (x*ty3) dx -2メydy =0 a.) prove if the given DE is exact or non -exact - Given DE b.) Find its…

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Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

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