d the area (sq. units) covered by the line 2y = x + 6 from x1 = -8 to x2 = 0.

Q: Question 19 Find the focus of the parabola 4x +24=8y-y?. A (-1,– 2) B (-3, 4) (-음4) D (-6, - 2)

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Q: Determine the form of a particular solution of the differential equation y" + 9y = e*cos3x + x² + x³...

A:

Q: Match each graph to its corresponding function. 1. f(x) = Væ graph in blue 2. g(x) = Vx – 2 graph in...

A: Answer: The solution is as given below : 

Q: Simplify to a single trig function with no denominator. csc- 0 cot? 0

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Q: Question 2 In the expression /In²sinx -dx, the integrand is tanx Insinx A tanx B -Insin'x + C In sin...

A: Given:- ∫ln2sinxtanxdx To Find:- Integrand from given expression

Q: Z = z = cos3xsin4y+2x²y az əz azz a²z a2z Find : дх' ду' дх ' ду'дхду

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Q: The average change of a function f over an interval [¤1, x2] is f(x2)-f(x1) First find the average r...

A: We can find the instantaneous rate of change as below

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A: Here we have to find the limit.

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Q: Find Sta | tan (ay) dy 32.

A: We have to find integral of given function.

Q: х ах 2(5+x²)4

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Q: O Find All the ASymploles of the Cerve 3x3 +22y-7ay²+2y"-14x4+7y²+4x+5 =0-

A: Total Asymptods are 3 . 

Q: -3 -2 -1 1 2 3 g function is discontinuous at three values of x. List these values of t to largest. ...

A: Discontinouns

Q: Find the horizontal asymptote(s) of the function p(x) f (2) = Va(2) where p (г) — 6а2 — а — 2 and g ...

A:

Q: 22 – 11z + 28 Find the limit, if it exists: (Do not use L'Hospital's rule) lim 7 2 – 26x + 133 Note:...

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Q: All parts of this problem refer to the function below. y = (9+ 6x)²/¤ dy a) Use logarithmic differen...

A: We have to find derivative

Q: Find the derivative of a function f(x)=(x^2+1)^3 (2x−1)^4 f ' (1) = ____

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Q: 6. On the corresponding grids, draw any curve that satisfies the given conditions. A function where ...

A: Solution is given below:

Q: 94. Air Pollution The amount of nitrogen dioxide, a brown gas that impairs breathing, present in the...

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Q: Use a quick approximation to estimate the derivative of the given function at the indicated point. H...

A: We know that d/dx(xn)=nxn-1

Q: Question Evaluate the following limit using L'Hospital's rule. 1 3 lim z-0 1lez – 11 33x Provide an ...

A:

Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

Q: xdx 2. 3-x

A:

Q: Evaluate the integral of the following 1. 6x° .5 182? + 7 dæ

A: Topic:- integration

Q: Question Suppose that the following functions all have the given limit at a = -1. lim f(x) = 0 lim g...

A: Given that:                  

Q: Consider the following differential equation. y"-y'-30y 0 Verify that the functions .-5x and 6x form...

A:

Q: Find the volume V obtained by rotating the region bounded by the curves about the given axis. y = 5 ...

A:

Q: 8 -5 -8 Factor out (1 + z )° from (256z°+ 150z + 150z - 25z- 25z° + 3 + 3z1

A: Given:    256z-5+150z-4+150z-6-25z-2-25z-8+3+3z-10

Q: (2z+1 if z < 3 (10-z if z 2 3* 3. f(z) = a.7 (2z+1 if z<3 4. f(z) = 110 – zif z 2 3 a. 7 S2z +1 if z...

A:

Q: (x1+e*)dx e* -In(4) 3.

A: Given that: ∫(x-1+ex)dxex-ln1xdx

Q: QUESTION 5 A conical water tank has a radius of 5 cm at the top and 20 cm high as shown in Figure 1....

A: Given: A conical water tank has a radius of 5 cm at the top and 20 cm high.  Water flows into a tank...

Q: Evaluate f 8e7x+e7= da

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Q: 21 - v oX

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Q: An investment firm expects the price of the Campbell’s Soup Company stock to increase via P(t)  =  P...

A:

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/ or constant mul...

A: The given question can be solved as shown in step2.

Q: On the domain of (-27, 27), for which of the following values of x will sin x = csc x? Choose all an...

A:

Q: 16 9. 4 in

A: As we know that; The sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 An...

Q: 4. Use the graph to find the following characteristics of a polynomial? K/5 4) Use the given graph t...

A:

Q: The augmented matrix of a linear system has been reduced by row operations to the form shown. Contin...

A: topic - solution of linear equations using matrices

Q: Finding the work done in moving an object. Work Done by a Variable Force Along a Line. If a variable...

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Q: Find the limit , if it exists:(Do not use L'Hospital's rule) 16 lim 2→16 16 Note: Give the exact ans...

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Q: Find the volume of the solid generated by revolving the region enclosed by y = x2+1 and y= x+3 about...

A:

Q: Mass-Density Formula of a One-Dimensional Object. Given a thin rod along the x-axis over the interva...

A: We will find the mass. 

Q: Let f be a differentiable function. If f(50) = 378 and f'(50) = 6, use a linear approximation to est...

A:

Q: 2. Complete the following table. lim 2016 lim r -2 -1/2 3.1416 10 V3

A: Given table:- c limx→c2016 limx→cx -2     -12     0     3.1416     10     3       ...

Q: 10w + 4 9w³ + 7w dw

A:

Q: Find an equation of the tangent line to the curve y² = x³(3 – x) (a piriform) at the point (2,2/2). ...

A:

Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if F...

A:

Q: Find the following limit. Enter dne if the limit does not exist and fractions should be entered in t...

A:

Q: Find the equation of the tangent to the graph at the indicated point. HINT [Compute the derivative a...

A: Given function is   f(x) = 7x + 1 To find the equation of the tangent at x=9. Now at x= 9 , f(x) = 7...