QUESTION 7 ·S sin²t sin²0 de csc³0 de sec ³0 de cos²0 de The integral dx (x²+4)² 01 Secto 0 + can be transformed to which of the following when trigonometric substitution is used?

Q: 3. Find a vector equation of the line that... a) passes through (-3,5,-2) and (7,-3,1) b) has…

A: vector equation of line

Q: Solve the differential equation using inspection method d'y d³y = 24. dx5 dx³

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Q: Find the volume of the solid generated by revolving the region bounded by the given lines and curves…

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Q: x² - 25 to fill in the table: Xx - 5 6 5.5 5.1 5.01 Based on ONLY the table of values above, what…

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Q: 28. 5x1 +4x2 2x1 2x1x2 - 2x3 = 4 + 3x3 = 2 + x3 = 1

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Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

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Q: Find an equation of the line tangent to the graph of f(x) = (4x-3)(x+2) at (1,3). The equation of…

A: topic- equation of tangent line to the graph

Q: 2x+1 (b) g(x) = f(x)

A: We want to find the differential of g(x)

Q: Exercises To Solve [No.5] 05² dx 3dx x²+²x+5 9x²6x+5

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Q: Given the following planes: 1. 2x - y - 6z = 5 II. (x-1, y - 1, z - 6) * (3, 1, 1) = 0 III. (0, 8,…

A: Topic: Plane in three dimension geometry The solution is given below:

Q: Find the volume of the solid generated by the region bounded by -x + y² = 8, x = -2y and y = -2…

A: We first sketch the region using a graphing calculator:   We can find the y-coordinates of the…

Q: The height s (feet) of a ball hit into the air is given by s(t) = -16f² +50t + 5, where t is the…

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Q: Use the left-endpoint approximation to approximate the area under the curve of f(x) = +1 on the…

A: This question can be solved using the concept of approximation of area under curve using left…

Q: 3. z = x+y x-y

A: The given function is  z=(x+y)/(x-y).

Q: True or False: lim O False O True 2² + 3x - 1 14-2 2-9 3 11

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Q: In Problems 7-12, evaluate each given determinant after first simplifying the computation (as in…

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Q: Estimate the slope (slope rise/run) of the tangent line to the curve. N 3 4 6 N D-

A: topic- slope of a line

Q: 172. Evaluate the definite integral using the Fundamental Theorem of Calculus, Part 2. 3 La+…

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Q: f/² sin() cos() sin() dx (Consider initially the first 2 terms)

A: We have to find the integral.

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B = if you already…

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Q: Enter a whole or decimal number, or DNE for does not exist or undefined. |0x| lim (5+10=¹). [ - -0+z

A: Topic = Limits

Q: 1. Find the surface area of the solid obtained by revolving the curve y = √25-x from = 9 to x = 16…

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Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: Solve y at x=1. dy/dx - 2(x+1)^3 = 4y/(x+1)

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Q: 6. Calculate the sum of the series: -396-308-220-132-... + 836

A: We have to find the sum

Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) x→1 x+3 a. Find lim f(x) or…

A: Here is the solution of the given problem. To, solve this problem we use the simple criteria of…

Q: then what is y at x=1?

A: We can find y at x=1 in the following steps.

Q: Question 1 What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? 12

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Q: What is the average rate of change of y with respect to z over the interval [-3,-1] for the function…

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Q: y = (1+x)² 2 x² 2

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Q: The limit below represents the derivative of some function f(x) at some number a. 4(3 + h)³- - 108…

A: This question can be solved by applying the concept of first principle.

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A: We have to find vector A and B.

Q: NIM Let line l: x = = and point P(1,0,1). 2 Find the parametric equations of the line parallel to…

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Q: Determine whether each of the ff.differential equation is separable or not,if it is…

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Q: A homework problem asks for a sketch of the graph of the inverse of f(x) = x + cos x. Frank, after…

A: Given ,  A homework problem asks for a sketch of the graph of the inverse of f (x) = x + cos x…

Q: Set up the double (dydx) and triple (dzdxdy) iterated integral that will solve the volume of the…

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Q: ·S= cost cose de . 1-sino sece tane de sec-1 The integral sine de 1+ cose sec²0 de 1+tano x dx can…

A: Let's transform integral by using trigonometric substitution.

Q: measured each day for several days. Suppose To test an individual's use of a certain mineral, a…

A: The amount of the mineral remaining in the bloodstream t days after the initialinjection is…

Q: Consider how we can evaluate this integral using u-substitution: x S dx. √2x+1 If we let u = 2x+1,…

A: This question can be solved by integration by substitution.

Q: The table below shows the average rates of change for points near In (2) for the function f(x) = e +…

A: We have to find the instantaneous rate of change

Q: In the quadratic equation Ax²+BX+C =0 The roots are real and distinct. The roots are complex…

A: The given quadratic equation is Ax2+Bx+C=0

Q: Find the velocity of the particle at the times given. Velocity at time t = 1: -3 Velocity at time t…

A: We will find the velocity.

Q: rve (y+1)2 = 4x3 from x=0 to x=1? (4) =q8

A:

Q: . Expand the binomial (2x - 1)*.

A: Binomial theorem

Q: Compute*cos(Inx)dx. 1 A.-—-e (cos1-sin1) - 2 2 1 B.- e 1 C.-e TT 1 2 e

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Q: ƒ(x)=3x² +6x−9

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Q: 12

A: We will solve the problem.

Q: Find the general solution to the differential equation dy/dx=x^2/y+3.

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Q: 7. xdy = (5y + x + 1)dx Ans: y = -x-+cx5

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Q: Which of the following is an acceptable answer, when we are asked to evaluate f 5+x² O In sec+tan 0…

A: