Find * dx | 473 + 4x² +x 1 In|x| + In|2x + 1|+; 2x + 1 -In/x| + In|2x + 1| – 2x Option 2 Option 4

Q: 15. Perpendicular to the plane x + 3y – z-7=0 and containing the points (2,0, 5) and (0, 2, -

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Q: (1,3)

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Q: Part 2. Math column A to column B by finding the slope of tangent line at any given point and write…

A: Note :- These are multiple sub parts questions and according to our company guideline we can do…

Q: Solve the differential equation with the appropriate method. Finalize the answer equated to y. 5.…

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 au. (v x w)| to determine…

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Q: Exercises

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

Q: Find the third order derivative of y = In(cos(2x))". A. y' = -40sec²(2x)tan(2x) B. y' = -80sec…

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Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: Given problem:- Use Lagrange multipliers to find the maximum and minimum values of f subject to the…

Q: Find the sum of positive divisor  a)     40 425  b)       2 491

A: To find the sum of the positive divisor a)     40425 b)      2491

Q: Use polar coordinates to evaluate the double integral int int _R (4+x) dA , where R is the region…

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Q: Perpendicular to each of the planes x – z+ y = 0 and 2x + z – 4y = 5 and containing the point (4,…

A: We have to find an equation of the plane which is perpendicular to each of the planes x-z+y=0 and…

Q: (2.4) What is the height of the ball when its velocity is one-half the initial velocity?

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Q: 2. Verify that the Mean Value Theorem (MVT) applies to the function f(r) on the interval 37 and find…

A: Given query is to find the value that setisfy the mean value theorem.

Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: 10 | f(=)de – f(=)dz = | f(2)dx What are the values of a and b? a = b =

A: The objective of the question is determine the value of a and b.

Q: x = -4 + t, y = 2t, z = 7 + t (a) (0, 8, 11) O Yes O No (b) (4, 5, 9) O Yes O No (c) (-6, -4, 5) O…

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Q: U(r)= 1/r ln(aX^r+bY^r) U’(r)= ?

A: Here, U(r)=1rln(axr+byr)

Q: С. lim х-2 х+1

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: Find an equation of the plane that passes through the points (-2, 1, 1), (0, 6, 11), and (1,0,-1).…

A: Given

Q: Find the area bounded by the curves y=8x-x2 and y=x2, and the line 4x-y=-12.

A: I have appended the formula used in the solution part.

Q: Instructions: (1) Use Limit Laws to find the limit of each given problem. (II) You may only use…

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Q: 10. dx 1+cos 3x In(1+cos 3x) + C %3D - 3 _11. S 2(cos x)(sin²x)dx 2 + C 3

A: As you mentioned  only 10 & 11 solved

Q: I. DIRECTIONS:Compute for the degree freedom of the given data 1) n = 26 = df = 3) n = 18= df = 2) n…

A: We have to compute for the degree freedom of the given data  (1) n = 26 ⇒ df =

Q: Find the area A of the sector shown in each figure. (a) 80° A =

A: Given query is to find the area of the sector.

Q: 13 dt 9+6t 4 (9+6t)5

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Q: Find parametric equations of the line through (-1, –1, 6) that is parallel to 2i – 4j+k. x(t) = y(t)…

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Q: х3 — 4х? 8(7x – 4) (x + 2)* x(х + 8)(х — 2) | Given: f (x) : with f'(x) ,аnd f" (x) - %3D (x + 2)2…

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Q: About 27% of the body of a person floating in the Dead Sea will be above the water line. Assuming…

A: Mass= density× volume

Q: Find the distance between the point and the plane. (Round your answer to three decimal places.) (5,…

A: x - y +2z =4 x - y +2z -4 = 0 compare with equation Ax +By +Cz +D =0 A=1 B=-1 C=2 D = -4 point…

Q: 4. If E-1X = 60 and E-1 x = 90, find each of the following: E(x - 7) a. b. Σ-7 E(xi + 2) C.

A: This is a problem related to series and sum calculation. Based on the general formula we will answer…

Q: Find the angle 0 between the vectors in radians and in degrees. - co) + sin() = cos 4 u = cos i +…

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Q: Write TRUE if the statement is true, otherwise, write FALSE. 4. Suppose P and Q are both…

A: We have to find statement is true or false. In mathematical logic, a tautology is a formula or…

Q: Find the Fourier series of f(x) as given over one period and sketch f(x) and partial sums: (0 if –2…

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Q: Referring to the graph above, which of the following statements is correct: 1. f″(x) 0 for all x

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Q: Evaluate the following integral using trigonometric substitution. хах а. Vx2– x – 1

A: To evaluate the following integral using trigonometric substitution.∫x dxx2-x-1

Q: Find* esin ¤ dx tan x csc x cos x e $in xt. - cos x e Sin x + c Option 4 Option 2 esinx + c ,sin.…

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Q: Show that for x 2 1, cosh (cosh° 3x – sinh° 3x) = In(x+Vx² -1). (b)

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

A: We need to find directional derivative.

Q: Still looking at the graph of the function f(x) from the previous question, recall that f'(a) gives…

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Q: Consider the following. u = -6i - 4j - 2k, v = 4j + 4k (a) Find the projection of u onto v. (b) Find…

A: Projection

Q: The are of a rectangle is 100 cm2 and one of its sides is x cm. Find the minimum perimeter possible.

A: Let us consider a rectangle with length l unit, breadth b unit Then area of this rectangle= lb…

Q: On what interval(s) is f(x) concave down? f(x) In(x? + 3) %3D (-0,00) O(-∞,-V3), (V3,00) (-V3, V3)

A: Let's find.

Q: 11) The Inverse of ()= *-1* a)(x) 3x-1 b)/(x) log2(x) d)f(x)= log3(Vx+1) e) non

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Q: Evaluate the limit. (Use symbolic notation and fractions where needed.) tan(2x) lim x→0 tan(7x)

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Q: Evaluate the following integral using trigonometric substitution. dx b. S V(5+2x+ x²)5

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Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

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Q: The term t (in years) of a $200,000 home mortgage at 7.5% interest can be approximated by the…

A: Given that the term t of a $200,000 home mortgage at 7.5% interest can be approximated by the…

Q: Evaluate the following integral using trigonometric substitution. dx b. S- (5+2x+ x²)5

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