Find the slope, TL and NL of the function y= 2x2 +2x at the point x=1/2. Graph the function, TL, and NL.

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos() -2 <ys ...

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Q: f(x) = 5. (a). Use f'(x) = lim (e+h)-/@) to find f'(x). %3D %3D T+3 h→0 (b). Find an equation of the...

A: Given query is to find the derivative using definition and the equation of tangent at x =2.

Q: I cot2 r dx

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Q: 9.) f@)= 3x 2x + 4 at a point where x 0 10.) fx) = (x + 1)' at a point where x = 1

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Q: Compute the discriminant D(x, y) of the function. S(x, y) = x' + y* – 6x – 2y + 1

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Q: The Distance from P( 5,3) to Q(2,-1) is

A: Compute the distance between x1, y1, x2, y2:  x2-x12+y2-y12The distance between 5, 3 and 2, -1 is =2...

Q: A straight 33-ft long ladder leans against a building so that the angle between the ground and the l...

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Q: 2xyy'=1+y^2 solve using separation of variable (diff eq) when y=3 and x=2

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Q: ind the equation of the curve at every point of which the tangent line has a slope of -e-.

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Q: Evaluate the integral using trigonometric substitution. 1 dx xV1 + x6

A: Given ∫1xx6+1 dx Substitute u =  x6 + 1→dudx=3x5x6+1→dx=x6+13x5 du =13∫1u2-1 du Now solving ∫1u2-1 d...

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing. (E...

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: The figure on the right shows the graph of f and a line tangent to the graph of f at x = 7. Find f(7...

A: Given query is to find the value of f(7) and f'(7).

Q: Evaluate the following definite integrals, t(1 -t)² dt = а.

A: Solution: ∫-11t(1-t)2dt Expand=∫-11t-2t2+t3dt

Q: 22+4x-5 Find the derivative: y = (3a2+1)4

A: Given Find derivative of y=x2+4x-53x2+14

Q: Solve the following equation; domain 0 sx< 3600; 2 cose+ 1 = 0 %3D 60 120 300 240 O O O

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Q: 0 0 [1 0 1 0 0 1 01 а. Lo 1] [1 0 1 01 0 1 1 Lo b. 0 0 11 [1 0 0 01 0 1 1 C. 0 0 0 0 0 Lo

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Q: What is the derivative of 2(x)ln(x)+x

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Q: 7. Solve the inequality g(r) = 9r + 9r-25r – 25x2 < 0 first algebraically and then checking your ans...

A: Given that Inequality gx=9x5+9x4-25x3-25x2&lt;0Solution :9x5+9x4-25x3-25x2&lt;0x29x3+9x2-25x-25&lt;0...

Q: e"; xo = 6

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Q: Use a finite sum to estimate the average value of f(x)=x° on [0,2] by partitioning the interval into...

A: Let's find. 

Q: '2 x(2-х x(2-x)99dx : - = xp66

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Q: (Give an exact answer. Use symbolic notation and fractions where needed. Enter DNE if there is no ma...

A: Topic:- application of derivatives

Q: Determine the standard equation of the ellipse that satisfies the given properties: center at the or...

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Q: Recall how to identify the limit and exact value of each function givenc using a graph. Given the gr...

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Q: Select all that apply. Solve the following equation; domain 0° sx< 360°; sin?x - 7 sin x = 0 O 90 18...

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Q: 1. (2x³y² + 4x?y + 2xy² + xy+ + 2y)dx + 2(y³ + x?y + x)dy = 0 %3D

A: note : as per our company guidelines we are supposed to answer only one question. Kindly post other ...

Q: 13. Find the solution set of e) 2x? – 3x – 4|<5

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

Q: 3. Evaluate: e-x²+2x dx (Hint: let t = (x – 1)²) %3D

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Q: Find the radius of convergence and the interval of convergence. k2 + 81 k=1 Radius of convergence: I...

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Q: Pennstase 2) 2Determine whether the given sequence converges or n2+ 1 ldiverges. If it converges, ca...

A: The objective is to determine whether the given sequence converges or diverges .

Q: cot e tan e cot?0 O cot?e tan?e 01

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Q: Evaluate the following limits. 1. lim (1+ Vw)(2– u? + 3w) 22 – x - 2 4. lim 6x2 – 7r +1 7. lim エ→ー1 ...

A: Topic:- limits 

Q: Write an equation (any form) for the quadratic graphed below: 4- 2- -5 -4 3 -2 -1

A: Vertex =(h,k)=(2,1)From graph ,Parabola passes through points :(0,-1) &amp;(4,-1)std equation of par...

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Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: Given

Q: (MULTIPLE CHOICE) Which of the following equations is(are) variable separable? dN + N = dt N dr (A) ...

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Q: Given: sin a= & in Quadrant I and cos 8= - 12 in Quadrant Il; evaluate the following expression. tan...

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Q: Find the derivative. 9. y =

A: The function is given by y = 94x34 Formula Used: ddxaxn = anxn-1 where, a is constant To evaluate: T...

Q: Find the derivative of the function. f(t) = = 3(t7 - 2)5 Step 1 Recall that the derivative of a cons...

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Q: 3 lim f(r) エーC lim g(r) 12, and lim h(r) = -3. エーHe エー Compute the following limits: a. lim(-4 f(r))...

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Q: Use a finite sum to estimate the average value of f(x)=x* on [0,2] by partitioning the interval into...

A: To evaluate the f at the subinterval midpoint

Q: Determine the general antiderivative below. (Use a capital C as the integration constant.) (x+3)/x-1...

A: We have to find integral

Q: 2. Let r+1 r -1 Determine if lim f(x) exists. I-1

A: We have to find out limit

Q: 2) For each of the following Sequences select whether they converge or 4) (4+lnCo) a), Iconveryes to...

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Q: Find the equation of the tangent and normal line to the following curves at a given specified point....

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Q: [5] 0 v2 = 9 v1 2 V3 4 -81

A: The given vectors are ; v1=5 , v2=7 , v3=9       0.       2.         4       0.        -6.       -8.

Q: dy for: (x + y) = x – y + 8 da 1. Find 2. If a ball is thrown vertically upward with a velocity of 8...

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Q: For the next six questions, consider the differential equation: y" + 4y = g(x), g(x) #0 Using the me...

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Q: .2 e cos? y = 2+5x+1)3 %3D

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Q: (2xye(x^2)y+y2ex(y^2)+1)dx+(x2e(x^2)y+2xyex(y^2)-2y)dy=0

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