est to the point 2, 2

Q: 60. (a) dx SI dt 1 + √t (b) de fint di dt

A: We can solve this as follows:

Q: Evaluat the integral:- 푼 is S. sec (cosx) dx dy D Sin y

A: Here, to evaluate: ∫01∫sin-1yπ2sec2(cos x) dx dy So, the region of integration is bounded by the…

Q: π/4 x³ dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

A:

Q: 7. f(x) = 3√x; [1,4] 8. f(x) = x-2/3; [1,27]

A: We can solve this as follows:

Q: Verify that the two lines are parallel, and find the distance between the lines. (Round your answer…

A:

Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed. 4. lim x-∞ 8118 5. lim 1-x+ 2x +…

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Q: Find the limit. lim → 2 (1 i=4j+ 1² k) i. lim 1-2(ti-4 j+¹² k) = + j+ k

A: evaluate the limit component wise

Q: 49-52 Sketch the curve and find the total area between the curve and the given interval on the…

A: We have to find the total area between the curve and the given interval on the x-axis.

Q: For the graph below, the concavity switches at x = +1.7 and 0 and there are critical points at x =…

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Q: Find sin (θ) given that cos (θ) = 1/5 and θ is in quadrant IV.

A: Given that  cosθ = 15 and θ is in quadrant IV. We have to find the value of  sinθ.

Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w…

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Q: dy II. Find Do not simplify your answers. da 1. log3 (√2x² + y) + tan(x - 7") = sin ¹1 (x²-1) +

A:

Q: Give the properties for the equation 3y 2 - 2y + x + 1 = 0. Latus Rectum

A:

Q: 4. The integration da can be solved by using the 2+-2 ³+1 ♦ (Choose the correct letter). ²+2-2 A…

A:

Q: Let T: R³ → R³ be a linear transformation such that T(1, 0, 0) = (4, -1, 2), 7(0, 1, 0) = (1, 3,…

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

Q: P(2,-3,4), Q(4,4,5), T(1,2,7) forms a triangle. find the vector projection of QP parallel on QT.

A: Proj. of QP→ on QT→ = QP→·QT→QT→WhereQP→ = Q-PQT→ = Q-T --------------------------------------------…

Q: Use the Fundamental Theorem of Calculus to find the "area under curve" of f(x) = 4x+14 between x =…

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Q: Find the derivatives of the function xy² x-y x + y

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Q: a) Find Maclaurin series generated by the following function f(x) = e-3x by Test the following…

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: nto v. t of u orthogonal to v.

A:

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (1,…

A:

Q: Find an equation of the plane with the given characteristics. = The plane passes through the point…

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Q: Find R and the Interval of Convergence o (-1)" (x)" 272

A: Given problem:-

Q: A courier service will deliver a package only if the length plus girth does not exceed 108 inches.…

A: Use the application of derivative and find the maximum volume.

Q: f(x)=x2+2  at (1,2)   Find the equation of the tangent line using delta method

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Q: Find the curvature and the radius of curvature at the stated point. π r(t) = 10…

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Q: Find the differential dy of the given function. (Use "dx" for dx.) y = -2x - (sin(x))² dy= Need…

A: Using derivative

Q: 7. Do as indicated. 1 1. Let f(x)= = Find the equation of the tangent line to the graph of f'(x) at…

A: This question is related to straight lines, we will solve it using given information.

Q: 2. Specify on which intervals is f increasing/decreasing and where the graph of f is concave…

A: First derivative test: If the first derivative of the function is positive over an interval, then,…

Q: 17. 2x√/x dx 18. de xVx S

A:

Q: 31. (a) 32. (a) 33. (a) 34. (a) ₁12x-11dx • S²₁₂ √2+ |x|dx 2+ |x| L₁ let |e* - 1|dx *) ₁²³-1-15|dx +…

A:

Q: Evaluate the integral √(4 by making the appropriate substitution: u √ (432² dx [ X (4x² + 11) 7 = X…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Here we have to find the area.

Q: An object moving along a horizontal coordinate line has directed distance s(t) = 4t³ +9t² - 30t + 5…

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Q: 61. det t sectdt d 62. du Jo Ix/dx 0 px [Hint: Use Definition 5.5.3(b).]

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Q: A factory operating at maximum capacity can produce 25 fuzzles in one day. The cost of producing a…

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Q: Find the Maclaurin series centered at c and the interval of convergence. 12) f(x) = 1-2x 13)f(x) =…

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Q: SCALCET9 11.5.006. Test the series for convergence or divergence using the Alternating Series Test.…

A: Use alternating series test to check the convergence of series

Q: Definite Integral and Plane Areas by integration (snow solution) dx + So - 2 1+x 2. S dx 25-x2 = 1/2…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: The junior class has 50 students. Twenty-five students take French, 15 take Latin, and 10 take both.…

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Q: Let a = ci + j and b = 6i + 36j. Find c so that a and b are orthogonal. C = i

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Q: Find the point on the curve y=x³ at which the tangent is parallel to the tangent at the point on the…

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Q: Solve the D.E ý - 25 +2y = 2X+3

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Q: Find r'(t), r"(t), r'(t) · r"(t), and r'(t) x r"(t). r(t) = 3t³i + 6tj - t²k (a) r(t) (b) r"(t) (c)…

A: Given data÷

Q: Ex. (8) Sol Solve [D²-6D+9] y = 54x+18

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Q: Find the value of x + y, if 1. 4 2. 1 3. -3 4 6 [2x 7 5 -y = [8 7 3 D

A:

Q: Find the equation of the vertical asymptote and the equation of the slant asymptote of the rational…

A: Given: fx=36x2-12x+36x-3   As we know that; To calculate the vertical asymptote, equate the…

Q: The general solution of y' = Y can be written in the form = C

A:

Q: 1- Evaluate the following limits, if they exist. If they do not exist, state why. a- Lim 4 c- lim…

A: See the details solution in below