d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

Q: 2. Evaluate the integral: SSS teu du ds dt

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Q: II. Evaluate the following integrals 3. S 3* sech³ (3¹) -dx 1+tanh (35)

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Q: Using the shell method, what will be the equation of the volume of the solid formed when the region…

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Q: 4. Let f(x)= a(7-a2) for all a 0 (a) Find, in terms of a, the equations of the lines tangent to…

A: Given.

Q: Let f be a function on an interval I and let ₁ and 2 be any two points in I. Then if f (x₁) > f (x₂)…

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Q: Find the standard equation of a parabola if its latus rectum measures 9 units, axis at y = 3, p is…

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Q: etermine the instantaneous rate of change of the function πt √√x sin (772³) dt : x = 1. x3 1 + √t

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Q: Find the area of the region bounded by x = the horizontal strip. y²+1 and the y-axis using

A: Area between x=11+y2, x=0

Q: [*(sin³r)√1 + cos ar dr x

A: We know that integration power rule is given as  Integration of xn is xn+1/n+1.   Here i attached…

Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

Q: For several weeks, MMDA has been recording the speed of freeway traffic in EDSA. The data suggest…

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Q: (3) Prove the Generalized Triangle Inequality: if a1, 42, ..., are R then an + Q2 + · · · + @ < 41 +…

A: Given

Q: II. 3 4. 5- 10² - 0 + (0² + 0) dx S le* -e (e* e) e 0 Evaluate the followin

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Q: If F(x) a. F'(1) L √4t - t² dt, evaluate the following: x² b. F(2), by interpreting F(2) as an area

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Q: Set up the triple integral that will give the following: the volume of R using cylindrical…

A: We have to find

Q: Evaluate the following integrals. 1. S 1- coth² (log2 x) x cosh(log₂ x) -dx π 3 (sin³ x) VT…

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Q: 1. Why is it important to use the six trigonometric ratios in getting a missing angle value?

A: The six trigonometric ratios are sine, cosine, tangent, cotangent, secant, and cosecant. Basically,…

Q: 3. -3 √₁|2 - 2³ | dr da 0

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Q: 7. Find the mean of a student's test scores if he earned 95, 93, 85, 90, and 91 points on five…

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Q: Determine the instantaneous rate of change of the function πt³ √x sin (TE³ 2 f(x) = x3 1 + √t at…

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Q: I. Evaluate the following limits 2. lim (3 + x)² x → +∞o

A: Given

Q: Use the First Derivative Test to find any relative extrema of the function. (a) g(x) = 2x³ – 18x

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Q: FIND X: 6.95460 = -0.658 + 1.41853 + 9.36 (log10 (X + 1)) + 0.40+ -0.20091 1094 (X+1)5.19

A: Given:  6.95460=-0.658+1.41853+9.36log10x+1 + -0.200910.40+1094x+15.196.19407=9.36log10x+1 +…

Q: S t /1+3t - dt

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Q: Find the value of the following definite integrals. Show your solution. L₂(x¹+4) dx 2. (cos x + tan…

A: Topic = Integration

Q: Use the linear approximation to estimate In (√0.99).

A:

Q: A ship leaves port travelling North West at 12 knots. A second ship leaves the same port 3 hours…

A: Given: Let first ship be Ship A and second ship be Ship B. Speed of ship A = 12 knots =12 nautical…

Q: u=-5), v=-1-√31 (a) Find u-v. U-V= (b) Find the angle between u and v to the nearest deg 0

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Q: Find the total area between the graph of the function f(x) = x + 1, graphed below, and the x-axis…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 2. lim (tanx) (sin r-1) x→

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Q: (Requires a short but nontrivial geometric argument.). Let ABC be a triangle with angles…

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Q: Evaluate the definite integral below. (Enter an exact answer.) Provide your answer below: S²4e³x-2…

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Q: Find the absolute extremum values of f(x) = xe²-2x² on the interval [0, 1]. (Note: ez ≈ 0.22)

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Q: Find the Integrating Factor (I.F) of the following linear differential equation: (1 + ²) + y = t…

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Q: 4. Swin (w - 2) dw

A: The given integral is: I=∫wlnw-2dw   Apply the integration by parts to solve the above integral.…

Q: 1. Use local linear approximation to estimate In (0.99). 2. Find the absolute extremum values of…

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Q: Where is the sketch of the area?

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Q: . Solve the following problem (a) Y'(t) = XY(t) + 1, (b) Y'(t) = \Y(t)+t, Y(0) = 1. Y(0) = 3.

A: In this question, we will solve the given linear first order differential equations.

Q: Daniel saved $260 at the end of every month for 4 years in his bank account that earned 5.60%…

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Q: (sinhz)(coth’z+csch*r)dz

A: Integration is done.

Q: 1. Solve the differential equation of order one. Show your solutions. y' = x - 2y STEPS: a. Put…

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Q: -0.03t The function f(t) = 9000 e represents the rate of flow of money in dollars per year. Assume a…

A: Given that,

Q: The integral of 3^4x dx is equal to A^AY Ing+ 0

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Q: Shawn invested $130 at the end of every month into an RRSP for 13 years. If the RRSP was growing at…

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Q: In x 2. Use a local linear approximation of f(x) = 1+x² to estimate In (0.9) 1.81

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Q: Why is it =10πr33? particularly, why is the value 33?

A: Let's solve.

Q: 3x(xy − 2)dx + (x³ + 2y)dy = 0; f(1)=2 Find the positive root of y at x=2. Use 2 decimal places.…

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Q: Jill burns 100 calories per hour while sleeping, 300 calories per hour while walking, and 200…

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Q: Evaluate fsin² 2xdx Show step-by-step solution.

A: We need to do integration of  sin2(2x)  First we will apply it's formula, since this value is equal…

Q: 4. Evaluate the double integral: L Lady. dx dy. 1/3 27 +1 (Hint: Change the order of integration to…

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