he region between the graph of y = 4x – 8 and the x-axis from - 2sxs6 Ay 30-

Q: 4. Compute (a) 4 S"(3t2 – 4)z dx - dx 'x (b) x1+t² 4 dt dx -x 1+t2 d

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Q: Differentiate exp(sec(x^2)

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

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A: We know that the integration of cosx is sinx then use the limit and calculate it. Option a is…

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Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

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Q: For the following function, find its inverse. f(x)= In(8x – 9) O a. f'(x)= (e* - 8)/10 O b. f'(x)=…

A: Topic = Functions Correct option  = c

Q: If 2n+3 a %3D 5n+8

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Q: 3. Evaluate: lim X-0 \sinx 4. Using the binomial series, find the power series of f(x) =

A: We have to find the limit of a function and find the expansion of 1/x

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A: Given query is to find the derivative and the equation of the tangent.

Q: 2x e d.x 4e2 – 8e" + 5

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Q: A quadratic polynomial y- 4r+7r-3has roots pand g Find a quadratic g(r) o+withrots and a O a.…

A: Please see the answer below.

Q: Evaluate the definite integral. et dx J1 xyln x

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Q: answer

A: We will find the second derivative.

Q: the folium (meaning "leaf"). Descartes's scientific colleague Gilles de Roberval called it the…

A: Find your answer below

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Q: Not yet answered Marke Prove that f(x) = (x- 1) + (x +1)² is an even function. A function k(x) is an…

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Q: f (x+h)- f(x) 7x3-2x-1 Using lim-0 Find the slope of the tangent line y 5x+2 h at x = -1.

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Q: Question 14 Use part I of the Fundamental Theorem of Calculus to find each derivative, given the…

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

Q: Consider the function f(x) = x* + 2x. %3D

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Q: csc(cot r) + cos? x d.x sin? x

A: Use the method of substitution and solve the integration.

Q: Consider the function f(x) = x2+1 (a) Find the intercepts of the graph of f (if any). (b) Find the…

A:

Q: Question 22 Evaluate the integral, using substitution if necessary. tan(22 )dar, + C

A: To evaluate: I=∫tan(2x) dx Substitute 2x=t⇒2dx=dt⇒dx=12dt: I=∫tan tdt2=12∫sin tcos tdt

Q: Question 2! 3: 1: Explain why the following series a) I (-1)" 1+ n3/2 n=1 is Alternating. b) -…

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Q: C. Find the derivative of each of the following functions using Differentiations Rule/Chain Rule. 1.…

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Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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Q: For the points P1 (4,8,7) and P2(5,7,6), find the direction of P,P2 and the midpoint of line segment…

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Q: Solve the equation 3sin2x+sinx+8=9cos2x for −180∘≤x≤180∘, giving your answer correct to 2 decimal…

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Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 20 The slope of the function ƒ(x) = 5x - 5 is ______. 1 -5 5 -1

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Q: 3. y = xcos(2x) 4. y = tan tan (3x)

A: To find out the derivative of the function.

Q: 3. Evaluate: lim ( ) X-0 sinx

A:

Q: 11. What is the instantaneous rate of change of f (x) = at x = 2? %3D %3D Sown ight ore the low ng…

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Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series…

A: The given function is: f(x)=x5+4x3+x, a=4f(4)=45+4(43)+4=1284f'(x)=5x4+12x2+1,…

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A: Given query is to find the the interval where graph concave downward.

Q: 6. Solve the differential equation: 2xydx + (x² - 1)dy = 0 А. ху - 1- с B. x'y - y = C С. x y = C D.…

A: We have to solve the equation

Q: For the function x-3 f(x) = 2x +5 etermine coordinates of the y-intercept of the inverse function…

A: We can find the coordinate of y-intercept inverse function as below.

Q: Evaluate the indefinite integral: tan(0) cos(0) c

A: Given: ∫tan2θcosθdθ

Q: -3 1 4 What is the transpose of the matrix 5 2-1

A: Transpose of a matrix can be found by interchanging the rows into columns or columns into rows.

Q: 6. s) Rewrite (without any justification) the integral as an equivalent iterated integral in the…

A:

Q: Work Problem .. Question 1.. a) ]: Show your work. e]: Determine whether the series 1 Σ n=1 (2n- 1)4…

A: This question can be solved using the concept of integral test for first part and root test for…

Q: -2 is a critical number of the function f(x) = V2x - x². Select one: True O False

A: We can solve this as follows:

Q: 300 Mr. Santos wants to acquire a lot 300TT meters wide and with length bounded from 300 the road to…

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Q: e or sin 1 2 and tan 2 cos .2

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Q: Find the equation of the tangent and the equation of the normal to the curve y = x + at the point…

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Q: The integral of the given function ſ (4 +) dx is equal to a. 6 b. 7 с. 4 d. 8 e. None of the above А…

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Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

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Q: A rotating light is located 19 feet from a wall. The light completes one rotation every 5 seconds.…

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Q: dy - 3y = 0 dx 16. Solve the first order linear differential equation: А. y = e* + C В. у3 Сезх C. y…

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