20 e dx x Inx

Q: f(x) = 3x² - 5x+21

A: SOLUTION-

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Q: Solve the following equations for a a. az+b cx+d = A b. √₁+x+√₁+z=0 ar c. a²x² - 6² = 0

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Q: Integration of { 8t^7dt

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Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

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Q: Find y': y = ez² + 3x² + e²e Oy = e + 3x ln x + e²ex Oy' = e + 3x²-1 Oy = e + 3x² In a Oy = e +…

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Q: 1 S dx = 3x+2 0-²(3x + 2) + C O 2√3x +2+c 3 O²(3x + 2)² + C A O√3x + 2 + c

A: The given integral is: I=∫13x+2dx  ...1   As we know the Power Rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: What is the area bounded by the curves x = 1/y, 2x - y = 0, x = 6, and the x-axis?

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Q: Differentiate f(N) = (N) = 0 bN² + N with respect to N. Assume that b and K are positive constants.…

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Q: The graph of a particular function passes through the point (3,4). Its first derivative is 2yy' + 2x…

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Q: Q3) Use the integration method, and find the centroid of the shaded area in terms of a and b. y y =…

A: Concept: Centroid : The centroid is the object's central point. The centroid of a triangle is the…

Q: Question 4 Find two numbers whose sum is "a", if the product of one by the cube of the other is to…

A: To find out two numbers.

Q: r H+ sin x sin 2x dx 2 cos X

A: Solving the problem by finding the value of the integration.

Q: √4x²(x³-5) dx = x³ (x¹2 - 25x² + 250x6 - 1250x³ +6250) + c O 16(x³ - 5)4 + c O(³-5)5+c O (2³-5) 5+ c

A: See the details solution in below

Q: f(x) = 45x6

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Q: J 6x x +3 dx

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Q: Find y': COS X y = 1-sin x O y' = sin² -sin x-cos² x (1-sin x)²

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Q: Find the values of a that satisfy the inequality a. (x-1)(3x) > 0 b.2< 3x+1 2x+4

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 200…

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Q: Suppose f(-1) = 1, f'(-1) = 5, and g(x) = x³ f(x). The tangent line to g(x) at x = 1 is given by y =

A: The objective is to find the equation of tangent line .

Q: Consider the following initial-value problem. y ′ + 3y = e−3t,    y(0) = 5 Take the Laplace…

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Q: 5.494949... = 5. 49494 100000 X

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Q: 1 Suppose that I is a location function of an object, given as L(t) = We will compute the 3t - 7…

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Q: f(x+h)-f(x) h Use f'(x) = lim h-0 s(x) = 6x+7 to find the derivative at x for the given function.

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Q: H.W: show that the equations are homogeneous and solve: 1. (x+y)dy + (x - y)dx=0

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Q: Use dx f'[f¹(x)] Let f(x) = 7x³ +6, x20. Find dx x = 195 to find the derivative of the inverse at…

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Q: 2. Consider the function F, that assigns x in its domain to x²-1 F(x) = |x-1| In its domain. a. What…

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Q: /Use the mid-ordinate rule with eight intervals, to evaluate √²3sin² (x), correct to 3 decimal…

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

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Q: Find the vertical asymptotes (if any) of the gr exist, enter DNE.) x³3x² + 4x g(x) = 5x² - 30x + 40

A: g(x) = (1/2x^3-3x^2+4x)/(5x^2-30x+40)  Find the vertical asymptotes?

Q: 3. Evaluate III 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A: Use triple integral

Q: Given f(x,y)= x³(x²y³-2y²), find all of the first and second partial derivatives.

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Q: Let f(x) = 2x² -5x - 7. Expand and simplify: f(x +h)-f(x) h =

A: The answer is given below:

Q: • III.6 622 dV where G is bounded by r + 2y +4:= 8 in the first octant. 3. Evaluate

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Q: xample following flow field: Find the acceleration u= 2x² + 3y, v=-2xy + 3y² + 3zy, w= at a point…

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Q: An object moving in a straight line travels s(t) kilometers in t hours, where s(t) = 8t² + t. (a)…

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Q: 1. f(x) 2. f(x) 3. f(x) = = x² 12x-3 2x+9 3x+4 x²-16 x²+4x-20

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