= In ( ²² +2²³v-_-²³ ) · then x +y is da by x-y If the function u = ln

Q: Refer to the definite integral to answer the following questions 3 1² (2²) (x²) dx

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Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

A: Let's find time taken 1/2 the original amount of radium to decompose.

Q: |y²Z² YZ Y+ZI z²x² ZX Z + x = 0 x²y2 XY X+YI

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Q: A population of bacteria B has a growth rate proportional to B itself. If between 12:00 nn and 2:00…

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Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: x²-3x-4 Lim x- x²-1

A: The solution is given below:

Q: 2. fx²ex dx

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: z = xey + yex, Find əz əz дх'ду

A: Given: z=xey+yex To find : ∂z∂x,∂z∂y For ∂z∂x, we have to do the partial differentiation of z with…

Q: Solve for the variables using Gauss Elimination: -7a + 4b + c = 15 4a + 6b+ 5c = -6 3a-9c = 33

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Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Determine the derivative -d/dv y = 2x³ + 5x - 6 y 1 x² 3x 6x³ + x² − 10x − 3 -

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Q: Find the following improper integrals a) Ꮭ -dx 1 x2+x ex b) fodr dx e2x+3

A: We have to solve the given improper integration

Q: So .x² dx (2x²+2x+1)²

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Q: A thermometer reading is 60oF at 3:00AM and a Civil Engineering student takes it outside where the…

A: Given: At 3:00 AM, thermometer reading = 60°F The outside air temperature = 20°F At 3:10 AM,…

Q: Question 4 If f is continuous on [a,b], then T) True F False [xf(x)dx= x₁ b a f(x) dx

A: Given query is to find the statement is true or false.

Q: . The Minimum point of y = x3 3x+6

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Q: et +ex -x²-2 Lim- x-0 sin²x-x²

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Q: y=Arccos (x²)

A: I am attaching image so that you understand each and every step.

Q: Evaluate: lim (1cosec²x + 2cosec²x + 3cosec²x + ... + n° x-0 +ncosec²x)sin²x

A: Given problem:-

Q: II. Solve the following problems. Enclose final answer. 4 4. Given z = Find az/ax x+y "

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Q: Estimate the value of 82^(1/4)

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Q: Show if the following limits produce an indeterminate form. Then, evaluate the following limits. lim…

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Q: 3 If the function u = ln (2³ +2²4-²) then x ou + you is 2e^u e^2u 02 1/2 Other:

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Q: Find the surface area when C {(x, y): 0 ≤ x ≤ 2; y = 1 is revolved about the y-axis.

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Q: A stone dropped in a pond sends out a circular ripple whose radius increases at a constant rate of 2…

A: Given ,  A stone dropped in a pond sends out a circular ripple whose radius increases at a constant…

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

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Q: Numerical Integration: r2 1 S² = = X 0 1. dx

A: Please find the solution:-

Q: Find дz əx 2 x²y²exy for zx

A: Let's find partial derivative.

Q: Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due…

A: Solution is here

Q: 1. The Maximum point of y = (x²+2x+10) (x-3)

A: Find out the maximum point.

Q: If x = t² and y = t³, then y O t O o O 3/4t O 3/t O Other: =?

A: In this question, we have given the values of x and y in the form of the variable t and we want to…

Q: If A = 2x²,-3yz, xz² and qp = 2z - x³y. Evaluate A Vop and A x Vp at the point (1, -1, 1).

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Q: Write TRUE or FALSE before each statement. Solve+Q=4. independent variable. the above differential…

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Q: 1 Lim x-0* x 1 sin x

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Q: A metal sphere cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take to…

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Q: If p(x, y, z) = x²z + ey/x, evaluate grad op at the point (1, 0, -1).

A: The function is φ(x, y, z)=x2z+ey/x

Q: (√t-9) dt

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Q: If v = (x² + y² + x²) −¾7, then + O O O 1 O -1 O-1/2 Other: 8²v 8²v dx² მყ2 + 8²v əz² is

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Q: 7.Find of z = x3 + 5x2 y + 6 02z дхду

A: find ∂2z∂x∂y of z=x3+5x2y+6 formula: ∂xn∂x=nxn-1

Q: tan (3x) lim x→0 sin (2x)

A: Given query is to find the limit of the expression.

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2x³+2x²+2x+6 1. Lim x3+4x+3…

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Q: General solution of (x²y³ - 11) dx (x²y³²) dx + x³y²dy = 0 1+9x², General solution of dy = tan²(x +…

A: This question is related to differential equations, we will solve it using given information.

Q: I. EVALUATE THE FOLLOWING LIMITS. SIMPLIFY AND ENCLOSE FINAL RESULTS. 2. Lim xcosx sin²x 2 x-o

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Q: 1. f In(x+2) dx 2x+4 2. fx² ex dx 3. f tan³x dx 12

A: We know that integration of xn is xn+1 /n+1. And integration of 1/x is lnx +c.   Here i attached the…

Q: Given the domain 9 = {(1, y) | − 4 ≤ x ≤ 4, - 4 ≤ y ≤ 4}:: D the double integral of f(x, y) = 1 over…

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Q: 7. The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

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Q: = 4 R is the region bounded by y = x², y = 4x - x² and the line x = and it is revolved about y = 0.

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Q: efv. Evaluate dx Use rationalizing substitution. A B 8 √e² - 2 - 2√2 Arctan — √e² - 2 + C e³ − 2 −…

A: Let's evaluate given integral by using rationalizing substitution.

Q: 1. For the cross product between vectors a=[h, -1, 8] and b=[k, 5, 7] to be axb= [-47, -5, 17], what…

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Q: 1. Let G be the solid in the first octant bounded below by the surface z = y + x² and bounded above…

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