3. Evaluate tan¹x² 1+x dx.

Q: d. graph y = f(x-2) e. graph y = f(x)+3

A: We have to draw graph as instructed in question.

Q: Evaluate √xdx f 1+x

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Q: A police car is located 40 feet to the side of a straight road. A red car is driving along the road…

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Q: 1. (x² + y² + 2x) dx + 2ydy = 0

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Q: Is the scalar valued function f(x)=(x^2-1)/(x+1) continuous?

A: This is a problem related to limit and continuity of the function. Please follow the procedure given…

Q: 1 Give the antiderivatives of X The antiderivatives of 1 2 are

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Q: The domain of the function f(x, y) None of these This option D= {(x,y) = R² + +1} This option. D=…

A: We want to find the domain.

Q: rate of 10 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base…

A: Given,       Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It…

Q: 1) [2 Consider the DE: 15x²y + 3x³y - 24y = 0. A) Solve the given differential equation by…

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Q: If f is a differentiable function and such that and g(x) = x+2 / 1+f(x) such that f(0) = -2 and…

A: We have to find the the value of g'(0).

Q: Evaluate foxe*² dx . 2 0 a. b. OC. O d. 9 =/12 + C 2 2 (e⁹-e) + C (e⁹-1) + C (eº-x²) + C

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Q: 8. xe dx dy 0-2

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Q: $] A) Solve the IVP: 2) [23 (2x - 4). - 2 ln 5x + 2y = 0, y(3) = 3. dy dx B) Give the largest…

A: Concept: Initial value problem (IVP): Initial value problem (IVP) or Cauchy problem is the term used…

Q: Evaluate fcot (x) cos²x dx

A: The given integral: ∫cotxcos2x dx.We need to evaluate the above integral.

Q: Evaluate (x² - 1)³² dr.

A: Our Aim is to evaluate the integral given below:-∫x2-12 dx -(i)

Q: a. f(x)=(x-1)²-3

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

Q: - 2. (x²y² + xy + 1)ydx + (x²y² − xy +1)x dy = 0

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Q: π/2 0 /1-cos2xdx

A: solution:-∫0π21-cos2xdxwe know that cos2x-sin2x=cos2x1-sin2x-sin2x=cos2x1-cos2x=2sin2x

Q: Let y=tan(4x+6)  Find the differential dy when x=1 and dx=0.1  Find the differential dy when x=1…

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Q: Work Problem You must provide a clear and detailed solution for the question. Let 2 = (y - 2x) ³,…

A: To find out the partial derivative.

Q: z = e Select one: True False In (2-y), dz and x = s² - 6t, y = t - s, then the value of when t = 4…

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Q: E A4 sin (e-² + ln z) + C 4 sin (-e-²) + C B O A § 4 (½ − e¯²) cos (e¯² + Inz) dz B E None of the…

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Q: 5. (x² + y² + 1)dx - 2xydy = 0

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Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

A: The given function is;  f(x,y)=7/(8x+5) +8x3/e-8y.

Q: Find the gradient of the function at the given point. w = x tan(y + z), (7, 15,-5) Vw(7, 15,-5) =…

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Q: Let z = (y - 2x) ³, where x = s′ s²t and y = st². Use the Chain Rule to dz find when s = 2 and t =…

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Q: The integral S.¹0 d 10 x²+6 x-8 is improper. dx

A: The given integral is (x2+6)/(x-8) , limit from 6 to 10.

Q: Find the derivative of the vector function, r(t) =

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Q: Exercise: 11 [ Solve the non-exact differential equations (Apply Rule IV)] 2. (xy³+y) dx + 2 (x²y²…

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Q: x+3y=x².

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Q: (zin z + 5)dz

A: The given integral is [xlnx+5] limit from 1 to 3.

Q: Find the area of the region bounded by the graphs of the equations. y = 5 + √√x, x=0, x=8, y = 0 59…

A: Given below figure is the required region whose area to be find.Area of teh region is calculate by…

Q: Let f(x) = 2x+1, if x1 O (-∞, 1) U (1,00) O (-∞0, 1] U (1, ∞0) OR O (-∞0, 1) U [1,00)

A: topic- limits and continuity

Q: Let f(x,y)=- lim f(x,y)? (3) (4.4) lim (x,y)→(4,4) This option Which of the following is true about…

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Q: 3. (y + ²+ ) dx + (x + xy²)dy = 0 3 2

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Q: f(x, y) = Find fx, fxy, and fxyx. 7 8x+5 + 8x³ e-8y

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Q: Let u = (4,-1,-1) and v= (2,-2, 2x + 1) be two vectors in space. Find alle ER such that u and v are…

A: The given vectors are u=4,x-1,-1 and v=2,-2,2x+1

Q: Using the substitution u = expressed as an integral in terms of u is given by -1, the definite…

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Q: a. b. dx x+2x³ In S is Inx In 2x² + 1| + C X C √ √2x² + 1 + ₁ C. d. In|2x² + 1 1 + C In x + In|2x² +…

A: Given problem:-

Q: Find the area of the region bounded by the curve y=x²-1 and the line y = 24! The area is

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Q: Let f(x) = x³ + √√. Then f'(1) = 02 O 1.5 O 3.5 04

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Q: At a given moment, a plane passes directly above a radar station at an altitude of 7 km. The plane's…

A: Given problem:- At a given moment, a plane passes directly above a radar station at an altitude of 7…

Q: 4. (x² + y²)dx − 2xydy = 0

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Q: 8. Find the first two non-zero terms of the Taylor expansion for function f(x)=sin x and a given…

A: Let's solve.

Q: 01. |x2 - 1\dx = a. b. 2 C. 432 - 23 23 d. 틀-

A: This question can be solved using the concept of definite integrals and modulus function.

Q: Determine the vector equation that represents the curve of intersection between the cylinder 2¹² +…

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Q: Condense the expression to the logarithm of a single quantity. 3 log3(x) +log3(y) - 8 log3(z) X

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Q: 8 [² Given f(x) (a) (b) (c) (d) dx = 16 and 8 Lotn [190 8 ¹L90 [f(x) + g(x)] dx 8 [²² Need Help?…

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Q: Question An equation of the plane passing through A (1, -1, -1), B (1,0,2), and C (-1,-1,-5) is:…

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Q: Determine whether the statement below is true or false. If the statement is false, make the…

A: Given statement, logb(x3+y3) = 3logbx + 3 logb y