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Q: The figure above is the graph of the function m(t). w(t)= m(t-0.5)-2.5 find the values of the follow...

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Q: 7. Suppose a is some number between 0 and 1 (0 < a < 1). What could be the value of lim a"? For a hi...

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Q: Finally, determine a. The parabola passes through the point (0, 7). Substitute the values of x and y...

A: we have to find 

Q: Use the definition of the derivative to find the slope of the tangent line to the graph of the given...

A: Given:- f(x) = 4x2+7x To find:- Use definition of derivative to find slope of tangent line 

Q: Evaluate f 2 sin r1+5 cos ædx O (1 + 5 cos z)i. (1 + 5 cos æ)i +c 10 O -?(1+ 5 cos z)i +c (1+5 cos z...

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Q: Find the area of the region bounded by the graphs of the equations y = cos? æ, y = sin (x), x and x ...

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Q: Find |A-11. Begin by finding A-1, and then evaluate its determinant. Verify your result by finding |...

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Q: Let f(x) = (1 + 2x²)(x – x²). %3D Find the derivative by using the Product Rule. f'(x) = %3D Find th...

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Q: Find the constants a and b such that the function is continuous on the entire real line. f(x)=    6...

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Q: A food manufacturer packages his product in 1-liter cans that are right circular cylinders. If the m...

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Q: Evaluate the limit using L'Hopital's Rule. In z lim IH00 In (z+1)* 4 1 00

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Q: Find the area of the surface generated when the given curve is revolved about the given a xis, Y=Sx-...

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Q: y∅=1/(xy^3) is the integrating factor of x^2y^3+(1+y^2)dy/dx=0

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Q: A machinist is required to manufacture a circular metal disk with area 690 cm. Give your answers in ...

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Q: Consider the following. y = x675, (1, 1) Find an equation of the tangent line. y = Find an equation ...

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Q: The formula d=t2+2t expresses a car's distance (in feet) from a stop sign, d, in terms of the number...

A: NOTE: Refresh your page if you can't see any equations. . the average speed of the car from t=3 to ...

Q: n!(2n)! Use the ratio test to determine whether the series n=1 converges or (3n)! diverges.

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Q: There were 570 students enrolled in a freshman-level chemistry class. By the end of the semester, th...

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Q: A graphing calculator is recommended. 13х 13x (a) If F(x) = find F'(3) and use it to find an equatio...

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Q: Sketch the polar curve with the given equation "= -4 cos 0, - TSOST.

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Q: Problem 1. Find the order of the following differential equations equation. y'y - (y) = 0

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Q: X. 2. dx + cos y ) dy = 0 y A. xy - ysiny + cosy = C B. xy – ysiny - cosy = C C. xy + ysiny + cosy =...

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Q: (a) Find the slope of the tangent line to the parabola y = x2 + 7x at the point (-2, -10) by using t...

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Q: Find the point(s) of intersection of the curves r = 10 and r = 20 cos e. O A. (10,5) 3 OB. (10,)-(10...

A: Given: r = 4  r = 20 cos θ 

Q: Use multiple integrals to find the volume of the indicated solid. z-8-2y 6- 3 Osys3 O 24 60 O 32 48 ...

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Q: For the Following differential equations, determine the General/Practical Solutions. dy dx

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Q: nnai Question 39 Express the iterated integral [Vz dy dz as a non-iterated (i. single) integral in t...

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Q: (1) Evaluate Hint: Express cos“ x in terms of sin x. Then use the substitution u = soluton in terms ...

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Q: (3x² In x +x² - y) dx – xdy = 0, y(1) = 5

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Q: Differentiate the function g(x) = 6x² + 11tanx.

A: The function is given by gx = 6x2+11tanx To evaluate: The expression of g'x

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not ...

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Q: S T6 dar = tan-i +C 1 –1 16+z2 4 True False

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Q: dx Q2) Evaluate 2. 9+3x

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Q: Find the work done by the force field F(x, y) = (x² ln(y + 5), x3 -) on a particle 3(у + 5) that mov...

A: Parameterize the circle as       g(t) = [2 cos t ; 2sin t ] ; 0 &lt; t &lt; 2π, then compute the lin...

Q: 2. The function 0(x,y) = 1/(xy) is an integrating factor of dy x²y3 + x(1+ y)x 0. %3D

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Q: For the following exercise, (a) plot the graph of the function f, (b) write an integral giving the a...

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Q: In n Use the basic comparison test to determine whether E-1 converges or nvn

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Q: A tank holds 3,000 gallons of water, which drains from the bottom of the tank in half an hour. The v...

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Q: Solve the following using the method of solving Bernoulli Equations. *+ tx* += 0 3.

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Q: 28 dr x² /x² + 4 Evaluate the integral: (A) Which trig substitution is correct for this integral? Or...

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Q: Evaluate the determinant to determine whether the equation is true or false. 1 x3 1 y y3 %3D (у — х)...

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Q: At what point/s is tangent line to the curve given by ?(?) = ?4 − 8?2 + 3 horizontal?

A: We have to find the points where the tangent line is horizontal for the given curve fx=x4-8x2+3

Q: Write the standard form of the quadratic function whose graph is a parabola with the given vertex an...

A: Given vertex of parabola (-3,8) and assing through (0,17)consider the equation of parabola y=a(x-h)2...

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 6 if g(6) = -4 andg' (6) = 3. G...

A: Slope intercept form-  Y = mx + c  m = slope = g'(x) At x=6,  m= g'(6) =3 c= intercept on y axis    ...

Q: What is the area of the region formed b- above the x-axis? o s 9 (z) dz o " f(x) dæ o r f (z) da + "...

A: Given that:                      

Q: Write an equation for the parabola in standard form. y 10 (0, 7) - 10 -5 5 10 (-3, –2) -5 -10f Step ...

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Q: Find a Cartesian equation for the curve represented by polar equation . r = 14 cos 0- 12 sin 0.

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Q: Answer the following True of False: x 0 value function f(x) = |x| %3D OTrue O False

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Q: Obtain the general solution of the given differential equation: x2dx+y(1-x)dy=0

A: Given that: x2dx+y(1-x)dy=0

Q: Let f(1) = r, 0< x < 1. (a) Plot the graphs of the odd and even extensions of f. (Clearly indicate t...

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