Differentiate the function. P(w) = 2w² - 6w + 4 W

Q: Evaluate: xy² dx dy S

A: Given: ∫04∫0yxy2dxdy

Q: 2. Evaluate all of the integrals. 2²-x+4 (x + 1)(x²+2) da

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Q: Evaluate the integral. ƒ ƒ6(x³ - y³)²dA = □ (Type an exact answer.) R

A: ∫-11∫016x3-y32dA

Q: Evaluate: £²³₁ £²₁ ¹²[z³(x + y)³] dz dy dx

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Q: 1 (x² - y²)² x+y valuate: ²₁₁² dx dy

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Q: ) Find the area of the region bounded by y = ex, the x-axis and the y-axis.

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Q: strip.

A: y-axis using the horizontal strip ,  y = 0 , x = 4/0+1 , x=4  so y-axis at x=4 and y= 0. Area of…

Q: 3 Evaluate: (4x²yz - z dz dy dx 24

A: The integration of the triple integral is (4x2yz-z4/4), z from 0 to 1, y from -1 to 4, x from 2 to…

Q: 3 .4 ²³₁₂₁ (4x²y — z³) dz dy dx

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Q: Apoint P(x,2) is equidistant from the points (-2,9) and (4,-7). What is thevalue of x?

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Q: For f(x) = √ √2-4 4- ™ Of is not continuous at x = 4 Of is continuous at a Of is continuous at a 5…

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Q: Find the general solution of (d²s)/(dt²) + 2(ds/dt) + 5s = 0. OA.y = C₁e(t) cos2t + C2 e(t) sin3t…

A: Let's solve given diffrential equation.

Q: Evaluate: SS₂₁ (4x²y — z³) dz dy dx

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Q: The sum of A. 0.432 2m (m²+32)1.5 B. 0.342 C. 0.423 D. 0.32

A: Let's find sum.

Q: 3 f²f²² ²³ y cos(z³) dx dy dz 0

A: The given integral:∫01∫0z2∫03ycosz5dx dy dz

Q: Which of the following functions will be continuous on (0, 3)? OA. h() = 12 8² + 6| OB. g() = 7/2-16…

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Q: 5x 3 Evaluate: fffdz dy dx 2

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Q: 3 Evaluate: ³₂²₁₁²[z³(x + y)³] dz dy dx

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Q: A stone, projected vertically upward with initial velocity 112ft/sec, moves according to…

A: Topic = Algebra The maximum height reached by the stone is 196 ft.

Q: 1. Find the cofactor of 6 in matrix D 9 8 4 2 -9 3 4 D= -3 2 3 3 2 968 7 6 (8 9

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Q: Evaluate: xy² dx dy

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Q: 1. 3 If the total cost function is given by TC = 300 +5q+ what is the marginal cost when q = 3? q² 1…

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Q: About 13% of the population is left-handed. If two people are randomly selected, What is the…

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Q: -3 Evaluate the integral: ³ ft t² et du dt

A: We know, ∫emxdx=emxm , for any real number m. ∫xndx=xn+1n+1, for any real number n.

Q: e2x 1. Evaluate the indefinite integral -1 dx. ex-1

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: This is a problem related to properties of addition and multiplication. Based on the general formula…

Q: II. Find the inverse of each matrix. 5 -11 1. -7 -9

A: This is a problem related to matrix. Based on the general formula and concept we will find out the…

Q: Prove that dx x(1+x²) 5 = lnx - 1²/2² (₁4²2²2) + ( C. +x²

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Q: 1. Simplify. Write "undefined" for expressions that are undefined. 1 -6 030-0 [B]- 4 + 5 -2 4.)

A: To simplify.

Q: Find the volume of the solid generated by revolving the region bounded by 2y = e-x², the x-axis and…

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Q: r²[(x²-y²)²] 1²₂5²² du dt x+y

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Q: Evaluate: ff xy² dx dy

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Q: 3 Evaluate: ³₂²₁¹ [2³(x + y)³] dz dy dx

A: This is a problem related to triple integration. Based on the general formula and concept we will…

Q: Evaluate the integral: ft² ns te" du ds dt

A: Let's evaluate given integral.

Q: 1. Find the Inverse Laplace Transforms of the following. 3) 3s³+3s s6 3

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Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis and…

A: Given problem is :

Q: Find the general solutions for these differential equations: a. xy’ (2y - 1) = y (x - 1) b. (xy –…

A: We have to solve given D. E.

Q: An integrating factor for the linear differential equation y' + = x is Select the correct answer. O…

A: This question can be solved using the concept of linear differential equation. Note: elna=a

Q: Show that (x+2)² = ln(x + 2) - x+2 + C.

A: Topic = Integration

Q: Given a second order differential equation dx 2x = e³t dt where t = 0, x = -5. Using Laplace…

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Q: The value of | Je A. -sin-¹ (ex) + C C. sin-¹ (e) + C dx 2x B.-sin-1 (e-2x) + C D. sin-¹ (e-2x) + C

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Q: te: 2² £²,₁ ₁° (4x² yz – # ) dz dy dx -

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Q: 4. Evaluate the double integral: Y SZ (Hint: Change the order of integration to dy dx.) dx dy. +1…

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Q: 1. Given vector 2 0-3 is 2. It is known that a à vector : ( 2 ) and 3 = (-1) is a vector in 1R³ with…

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Q: Find the area of the region bounded by the curves 1 y (x+4)²² y = 4 and the x-axis using vertical…

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Q: Question 1 Express the Laplace Transform of the following functions: (a) f(t) = 2e5t sinh(7t) — t8…

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Q: Find the derivative of the following functions. g(x)=(x²³-3x²+1) -9x(x-2) (x²-3x²+1)* g'(x)=-

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Q: Choose 1 answer: A 13 klo ㅠ 4t2 + 16 sec4 (t) dt

A: Please refer to the image below

Q: Question 8 Determinethe equation of the tangent line to the curve, y = 3x4-2x-1 4-x² , at x=1.

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Q: 6. The value of A. sin ¹¹x + √1 + x² + C B. sin-¹ x - √1 + x² +C C. sin-¹ x + √√1- x² +C D. sin…

A: