Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

Q: Find the area between the graph of y = 5 - 5x^(2/3) and x-axis and −1≤ x ≤ 8 using properties of…

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Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

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Q: Consider the following matrix. 3 0 19-3 62 13 44 1 8 8 30 12 0 0 00 (a) Find the dimensions of the…

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Q: What is the Remainder R, when ƒ(x) = is divided by (x + 1)? 20 16 22 30 30 4x³ + x² - 3x + 2 3 =…

A: To find the remainder

Q: 6. Given that (a) sin csc x=3, 90° <x<180° find X 3+2√2 6 ×IN Answer: sin- 2

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Q: ES N -2 4-x² 4-y -20 0 X dzdydx

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Q: Part b pls

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Q: Solve the equation dy 2y² – x² 3ry

A: GIVEN equation in this question dydx=(2y2-x2)(3xy)   SOLUTION- as we can see dydxis a homogeneous…

Q: 5) Find the divergence of (√x² + y² + z 5) ki vj + zk)

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Q: Use Stokes' Theorem to find the circulation of F = 4y? +7zj + 7xk around the boundary of the surface…

A: According to question,Given vector,F→ = 4yi→ + 7zj→ + 7xk→z = 64-x2 + y2for z≥0.

Q: What type of roots does 3x² - Imaginary Real, Rational, and Unequal Real, Rational, and Equal Real,…

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Q: d²y y = cos xtanx 18.Determine dx2 for

A: The function is given as y = cos(x)tan(x) Simplifying the given expression, Substitute tan(x) =…

Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: 14. Given g(x) = f(t². + 6t16) dt, find intervals on increasing / decreasing and concave up/ concave…

A: The given integral function is: g(x)=∫-22x t2+6t-16 dt

Q: If (2,-5) is a point on the graph of f(x), which of the following points MUST be on the graph of…

A: Given that point (2,-5) is a point on the graph of f(x).

Q: 5) Given f(2) = 3, f'(2) = | of H(x) = f'(x), thun H'(3) squale, 새ㅎ B) ㅎ 엊 미ㅊ E) |

A: Given query is to find Indicated derivative.

Q: Find a polar equation for the curve represented by the given Cartesian equation. x² + y² = 4cx k

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Q: Find the equation of the line that is tangent to the graph of the function at the right when x = 1.…

A: The given function: fx=9-x3x+1We need to find the equation of the tangent line at x=1.

Q: Find the indicated element of the given matrix. 1 13 206 -3 8 106 0 19 b23 = B

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Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded on…

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Q: How long will it take for the population to reach 80738073 deer, according to this model?

A: Given that, the population of the deer grows as per the given model:     Pt=2993t2     , where t…

Q: 12) y = 2-X; dy 3x+1 A) -7 (3x+1) dy = ? ² B) 6X-5 (3XH) 2 c) (3x+1) D) = ¹ 3+2X

A: NOTE: Refresh your page if you can't see any equations. . take derivagive

Q: Find the exact length of the curve. x = e² + e-t,_ y = 5 - 2t, 0 ≤t≤ 2

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Q: Use geometry to evaluate the following integral. 5 frixe 1 f(x)dx, where f(x) = 2x if 1≤x≤2 6-2x if…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  first we need to…

Q: Find the limit. 45x -5x² lim X-9 3-√x 45x -5x² lim X-9 3-√√x (Type an integer or a simplified…

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Q: Differentiate. y' = y = 3 sec(x) - csc(x)

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Q: Write a formula for the general term (the nth term) of the arithmetic sequence. Then use the formula…

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Q: EC: Find the derivative of g(x) (x) = = 0 cos(t²) dt cos(1¹) di

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Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 6x + 6 between x =…

A: The function is given as f(x) = 6x+6

Q: Find the standard form of the equation of the ellipse and give the location of its foci. Ay Q Q…

A: we need to write down the equation of ellipse from the given graph.

Q: f(x) = x4−32x−12  Determine where the function is concave up and concave down. Enter your answers…

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Q: Find the derivative of: 7 sin² ( – 2xº).

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 1. Determine f'(2) for f(x) = x² + 4x-1. Show your work. a. 7 b. 8 c. 11 d. 12

A: Given f( x ) = x2 + 4x -1

Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: Find the length of the curve x = t³, 312 y = ²2² ²²₁ 0 ≤ t ≤ √3 t²,

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Q: dx 3) √2-12x+37 a) tan¹(x-10) + c b) tan-¹(x - 5) + c c) tan-¹(x-6) + c d) None of the above

A: To evaluate the given integral

Q: Suppose c is inversely proportional to the square of d. If c = 8 when d = 2, find the constant of…

A: Function

Q: What is the exact value of the definite integral?

A: NOTE: Refresh your page if you can't see any equations. . ................(1) substitute…

Q: Find the area enclosed by the curve x = x = t² - 2t, y = √t and the y-axis.

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Q: 16. If h(x) = f(2t +Vt) dt, find h'(-2).

A: If hx=∫0x32t+t3 dt, then to find h'-2.

Q: Solve the equation dy 2y² S 3ry

A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here…

Q: Evaluate sin 5x cos 4x dx

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: decimal places. A = B = C= a=5 b=8 c=9 A=61.825° B = 44.157° C = 74.018° O A = 28.236° B = 42.639°…

A: Using cosine law

Q: Use trigonometric substitution to evaluate the integral (a) arcsin(r)+C 9x 9 - x² √9-x² (b) 9x + C…

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Q: 6x. Using the formal limit definition of the derivative, prove that 3x² =

A: Using the formal limit definition of the derivative  we have to prove that derivative of 3x^2 is 6x.…

Q: Find the sum of the series 65+ 513 5/9 + LO 5 27 - 5 81 +

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Q: Differentiate the function. g(t) = 9t + 8t² g'(t) = 9+16x X

A: given  g(t)=9t+8t2we know  dtndt=ntn-1g'(t)=d(g(t))dt

Q: (D7 + 2D6 + 7D5 + 14D4 + 8D³ + 16D² - 16D - 32) y = 0

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Q: 7. Which of the following is the Laplace transform of S In (²-¹) A. E. 1 s(s+1) B. In None of the…

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Q: 8). If y is a differentiable function of X, then the slope of the curve of; 3 = 6 at point where y=1…

A: Note: Since the student has mentioned to solve question no. (8), so we are solving according to…