1. Determine the domain of the real function f. 2+x a. f(x) = log b. f(x) = √2+x-x² c. f(x) = cos d. f(x)=√x + √ 2x 1+x

Q: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

A: A point moves on the parabola y^2 = 8x in such a way that the rate of change of the ordinate is…

Q: Problem 3. Solve below definite integrals f (d) In(r) I dr.

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Q: sinx13 cOSX on the interval [0, π] Average value=

A: According to the company rule we can answer the first question and rest can be reposted.

Q: What does the index value of 78.8 in 1990 mean? Explain your reasoning. Year 1960 1970 1980 1990…

A: Ratio of the gas price index in 1990 to the gas price index in 2000 is 0.788.

Q: B. Determine the general solution for each given higher order differential equation. Write your…

A: We have to find the solution of differential equation

Q: Problem 3. Solve below definite integrals b) [3te (b) 3tet²+1dt, In(x) 23 ©f! -dz, (d) TH In(x) dr.…

A: ∫ eu du = eu +C Note : As per our Guidelines , we can solve first question as your parts is not too…

Q: (i) Given that A = {1, 2, 3, 4, 5, 6] maps respectively to B = (3,4,5,6,7,8), Find an injective…

A: Since you have posted a question with multiple subparts, we will solve first three sub parts for…

Q: The radius of a circle is increased from 2cm to 2.03cm find approximately increase in area

A: Solving using differentiation

Q: Perform the following steps to find the maximum area of the rectangle shown in the figure. C: 3 A(x)…

A: As per our guidelines we are supposed to answer only ? 3 sub- parts ( if there are multiple sub-…

Q: Prove the statement using the ε, δ definition of a limit. limx→3 (4x − 5) = 7

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Q: a $0.9062 cos (1-√3x) dx = = : -0-1 a=0.5968

A: We have given a definite integral problem

Q: 1. The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30, while 3 pencils and 5…

A: To find the value of 'n' variables we need 'n' number of equations.In this question we have to find…

Q: k. [₂ x cos³ 2x sin 2x dx

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Determine the y-coordinate of the centroid of the shaded area. Set a = 11 in., b = 28 in. Answer: y…

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Q: A candy box is made from a piece of cardboard that measures 43 by 23 inches. Squares of equal size…

A: Given:      Cardboard measures 43 by 23 inches  As we have given the size of the cardboard, so lets…

Q: Find the general solution of the following differential equation. y" + 7y - 8y = 0 NOTE: Use c, and…

A: We have to find the general solution  of the differential equation.

Q: A company selling baseball gloves has fixed costs of ​$1300​, and it costs an additional ​$22.71 to…

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Q: Find a result by using variable separation for ý=secy b- xý = x + y

A: As per our guidelines we only solve one question and rest of the question will be reposted.

Q: S²³ x² e ²x ly and numerically. For the luations use (a) single application of I rule; Compute…

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Q: A book is to contain 36 in² of printed matter per page, with margins of 1 in along the sides and 1…

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Q: 2 E2 72-00 (i = 1 Express lim + Si ⅱ) (2) as a definate integral.

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Q: Let ( 3x² + 2, f(x) = { 2x - 3, be a piecewise function. Evaluate 5 Sof(x)dx= 3 if x < 3 if x ≥ 3

A: The given function:fx=3x2+2if x&lt;32x-3if x≥3.We need to find ∫35fxdx.

Q: Lucas does not like Dustin weapon and decides to design his own. His model has a plane that contains…

A: The statements which are true is given below   i) The plane has a parametric equation that can be…

Q: What is the value of y if x=y-7

A: What is the value of y if x=y-7

Q: x² + 2x x4 - 3x² - 4 S dx

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Q: Q4 Mode df Jx X= 26 How? -0.90623 sin(1-13x)=0 ㅗ 20.5772 V3

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Q: cost to buy tickets online for the dance show Riverdance is $0 per Write a function that represents…

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Q: 2. Use a double integral in polar coordinates to find the area of the region. (a) The region…

A: We need to find the area of the given regions using double integral in polar coordinates.

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Solution: Given: S={(2 ,-1, 3), (5, 0, 4)} (d) u =(2, 1, -1)

Q: 5. Let h'(x) = -1 2 x-2 Solve for h if h is continuous and h(0) = 0. for 0<x< 1 for for 1 < x < 2.…

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Q: 3. (x + y − 1)dx + (y-x-5)dy=0igant bas ins

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Q: d the exact length of the curve. =√y (y - 3), (y - 3), 4 ≤ y ≤ 16

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Q: Given cost and price​ (demand) functions C(q)=110q+45,000 and p(q)=−2.1q+860​, what is the maximum…

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Q: C. (Differential Equations with Homogenous Coefficients) Find the general (or particular) solution…

A: The given differential equations are;  1)(6x2-7y2)dx-14xydy=0 2)(x+ey/x)dx-xey/xdy=0 , y(1)=0.

Q: 8 mi P 4 mi

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Q: Which of the following point is the projection of the point (0, 4, 2) on the yz-plane?

A: In this question we have to find the projection of the point on the yz-plane.

Q: A:-Find parametric equations for the lines, the line through (4, 7, 1) perpendicular to the vectors…

A: I am attaching image so that you understand each and every step.

Q: √ √√x√1 - x-¹ dx

A: To find out the integration

Q: In the year​ 2000, the population of a small city was 49,000. The population grows at a rate of…

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Q: Rewrite as an exponential equation_ log₂ 27=3

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Q: Determine the points at which the graph of the function has a horizontal tangent line. f(x) = x - 3…

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Q: The distance between two moving objects whose positions are given by ( x₁, y₁ ) and ( x₂, y₂ ) is…

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Q: 4. Find the components of the vector with the opposite direction to that of the vector from M(2,3,5)…

A: First we need to find the vector and then find the opposite components of it.

Q: X. 2x4 x³x²+x-1 S = C -dx

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Q: 7. * (se + ex)dx

A: The given integral is xe+ex, limit from 0 to 1.

Q: 3. Solve Trigonometric Equation (a) 1+ sin 8 = 2 cos²0 (b) cos 0 + 1 = sin 0,0 € [0,2π) (c) √2 sin…

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Q: Find the general solution of the differential equation. dy dx y=0 -7y

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Q: Explain why l'Hôpital's rule does not apply. If the limit exists, find it by other means. Use - ∞…

A: Here we have to choose the correct option.

Q: 4. The volume V of a rectangular box is given by V = LWH where L is the length, W is the width and H…

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Q: d= d = but if (x, y, z) lies on the plane x + 2y + z = 9, then z = -x-2y+9 x-1 x-1 X = We can…

A: Here we have to find the shortest distance.