14. (x + 3x – 1) dx 15. dx tU +1) -G² – 1)]dy 16.

Q: -4 Vx²+4x-5 Consider 1 dx, using trigonometric substitution find x. x+2

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Q: V14 _13. Given the function f(x,y, z) = e3xyz sin 2xy where x = r² + t² , y = t² +r , z = r+t. Then…

A: Given f(x,y,z)=e3xyz sin2xyx=r2+t2y=t2+rz=r+t

Q: Use polar coordinate to evaluate (x² + y* )² dx dy . Leave your answer correct to two decimal…

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Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

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Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. lim…

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

A: By using the cylindrical shells method we have to find the volume.

Q: (U.1. 6. Find the dimensions of the closed rectangular box of largest volume with surface area of 16…

A: Surface area of the closed rectangular box:(with square bases) and height h;2x2+4xh…

Q: Find the absolute extrema of f(x) = x − 2 tan^−1 x on [−1,√3], and identify the values of x at which…

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Q: Find the area enclosed by the lemniscate with equation r = 289 cos(20). Choose your limits of…

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Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x,y, z) = 2x²…

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Q: x = 1– t- t - te [-2,2] y =t – t3

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Q: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: The appropriate change of variables for the dx is Vx²-4 x=2 cosØ O x=2 sec Ø O x=2tan Ø O x=2 sineØ

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Q: 7. S 8x³ e** dx il ww be 7dx 8. J sec x esinx bne

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

Q: ] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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Q: 5. Use differentials to app. .. the value of V(3.01)² + 2(0.99) – 3 in four decimal places. o 5.…

A: I am attaching image so that you understand each and every step. Let x= length of box y=width of box…

Q: 3x2 + 7x + 28 dx x2 + x3 + 7x Using partial fraction, evaluate

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

Q: The graph of a function f is given. y -1 1 10 Estimate f(x) dx using five subintervals with the…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 4 + 54x –…

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Q: За — 1 (x – 2)(x + 5)

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Q: Determine the general equation of the plane 2 passing through the point P (1, -4, -5) and parallel…

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Q: Find the volume of the solid that results when the region enclosed by 2.x y = e2, y = 0, x = 0, x =…

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Q: dh _10. A cylindrical piston with fixed radius r = 3 cm is being compressed so that How h =- dt fast…

A: Given

Q: in how many distnct ways can the letters of the word DEEDS be arranged? Oways (Type a whole number)

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Q: 22 - 12x dx x?(3x² – 10x – 8) partial fraction is to be employed. What is the most appropriate form…

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Q: _14. Suppose that a function f: R² → R and its partial derivatives up to the third orders are…

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Q: 15x2 — х3 — 43х - 19 The integral J (x + 1)²(x² – 6x + 13) can be rewritten as Ах + B C D + + bx + c…

A: Given problem:-

Q: discuss and sketch the graph of the given function f (x) = e" + x %3D

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Put 3s+4 (s-2)(s²+7) in partial fractions.

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Q: By about how much will g(x,y,z) = x + x cos z -y sin z + y change if the point P(x,y,z) moves from…

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Q: %3D Determine the speed along a parameterized path c(t) = (6 sin¬'(t), 3 tan¬(1)) at time t = 0…

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Q: x² + x – 2 (3x – 1)(x² + 1)

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Q: 3x2 + 7x + 28 A f(x) Using partial fraction, evaluate x3 + x2 + 7x dX, the decomposed fraction is x2…

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Q: dx Using Trigonometric Substitution 3 sin e+C. 3 express the answer in terms of x. (x² + x + + x+1)…

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Q: 2.S Ver eax dx Sve

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Q: Evaluate the definite integral. 1 5x +6dx

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Q: 9. Evaluate limf(x) = {"_ (x – 2; x 3 %3D x-3 а. 1 b. -4 с. 3 d. Does not exist 10. Evaluate limf…

A: Our Aim is to evaluate the limit of the expression given below:-limx→3 f(x)=x-2 ; x≤3-4;…

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A: The given function,   f(x)=1x+ln x, 0.6≤x≤5

Q: Which of the following is not true about the curve described by the following parametric equations?…

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Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = In(x2 + 3x…

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

Q: Use logarithmic differentiation to find the first derivative. Enter your answer without fractional…

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Q: Find an antiderivative of the function. (a) h(q) = sin(q) H(g) = (b) f(x) = 3eX F(x) =

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Q: 00 Given: (1 + 2x)e*dx̟ Using integration by parts and letting dv 00 is %3D u = -1 - 2x, then the…

A: Let's find.

Q: Consider A = (0, 4, 2), B = (6, -1, 0) and C = (3, 0, 1). (i) Find the unit vector having the same…

A: vector

Q: 6. What does lim v2 – x = 1 means? x-1 a. The limit of the function is 1 as x approaches 1 from the…

A: As per bartleby guidelines we only give first three question answers.

Q: Consider the following function. f(x) = 2x3 - 12x² + 18x – 7 Find the derivative. f'(x) = Find any…

A: The given function is: f(x)=2x3-12x2+18x-7

Q: x³ + 6x² + x+2 s ax + In[cx + 1}*(x² – x + 1)°| + fx-1 Tan-1. V3 The resulting integral of x³ +1 +…

A: use simple integration formula.

Q: To evaluate dx using trigonometric substitution, which of the following is the new integral form in…

A:

Q: A 10-foot ladder is standing vertically against the side of a building. To show you a related rates…

A: We can solve as follows