Find the integral. Use C for the constant of integration. 1 √1 - (2z)² dz

Q: Find the most general antiderivative for the function 8x² 4 6 x5 3

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Q: C. SSS, Xy dv E E=(x,y,z)10≤x≤ 1,0²y34 o≤z≤xy ³

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Q: Refer to the figure. Show that a + ß = y, and find the numerical value of tan(y). 8. a 5 A Y B 4 5

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Q: (A) Estimate the area under the graph of f(x) = 5 x from x = 1 to x = 6 using 5 approximating…

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Q: Use the given transformation to evaluate the integral. JJ₁50 5(x + y) ex² - y² da, where R is the…

A: We have given an integral and using transformations we have to evaluate it.

Q: Find the rectangular coordinates of the point whose spherical coordinates are given. (a) (1, 0, 0)…

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Q: 5 If + [³r(x) dx f(x) dx = 7.2 and frx 3 [" f(x) dx = 3.7, find f(x) dx.

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Q: 2. Sketch the curve defined by the parametric equations z=1+ sint y cost-2 and the interval 0 Sts.…

A: x=1+sint y=cost-2

Q: A sample contains 560 grams of Uranium-232, a radioactive isotope, that decays according to the…

A: Given: N(t) = 560e-0.010060t  Rate when t = 20 year's

Q: Prove the identity. (1 + cotx)² = csc ²x+ 2 cotx Note that each Statement must be based on a Rule…

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Q: Refer to the figure. Show that a + ß = y, and find the numerical value of tan(y). 8 α O 5 O A Y B…

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Q: Find the linear approximation of f(x) = ln x at x = 1 and use it to estimate In (1.39). L(x) = In…

A: fx=lnx

Q: Part A: Find the area of S. Part B: Find the volume of the solid generated when R is revolved about…

A: Solve the area first then we shall find the volume of solid.

Q: ) Given that g(x) = e), which of the following must be true on the interval (-∞, 0)? (A) f(x) is…

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Q: Find or evaluate the integral (Please show steps) J cos(x) 3+ sin(x) dx

A: to find out the integration.

Q: ind the accumulated present value of an investment for which there is a perpetual continuous money…

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Q: Construct and graph the cubic Bézier polynomials given the following points and guidepoints. a.…

A: The end points information implies that x0=1, y0=1,x1=6,y1=2 The guide point for x0,y0 is given by…

Q: 2.1 Limits, Rates of Change, and Tangent Lines 1. A stone is tossed vertically into the air from…

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Q: . Evaluate the limit by using a change of variable. 27 X 1 3 b. lim x-27 c. lim X² 1 X6 1 - X→1 X 1…

A: We are allow to solve first 3 subpart only, if you need rest of solution please upload them…

Q: en (1, 1) is a point on the base graph of f(x) = x5 and g(x) = -(x-1)6 +5, f would be moved to on…

A: The base point is given as (1, 1). The base function is given as f(x)=x5.

Q: Find dx dt dy dt dx dy dt dt = 11 = and dy dx x = 5t 5ln(t), - y = 8t² - 8t-2

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Q: Find the volume of the solid that results when the region enclosed e 8x x=0, x=2, and y = 0 is…

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Q: Let F = (9yz)i + (10xz)j + (9xy) k. Compute the following: A. div F = 0 B. curl F = C. div curl F =…

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Q: π 3) Let D be the region that is bounded below by the cone = and above by the sphere o = 10. 4 Set…

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Q: Find the position function of a particle that travels along the x-axis for t >= 0 with acceleration…

A: Accelaration at=8t-5

Q: Consider the following. f(x, y) = 4 YA 0 r = 1 + cos 0 D (a) Set up an iterated integral in polar…

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Q: Which of the following integrals converge?

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Q: The graph of the following parabola will be narrower than the base graph of the parabola and be…

A: We need to find if the statement is true or false.

Q: Consider the following. (If an answer does not exist, enter DNE.) f(x) = sin2(x) − cos(2x),    0 ≤ x…

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Q: Find the volume V of the solid E that lies above the cone z = √√√x² + y² and below the sphere x² +…

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Q: Use the given transformation to evaluate the integral. 16² 4x² dA, where R is the region bounded by…

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Q: Find the average value of the function f(x)= 3sqrt(x) (thats a cube root of x sign) on the interval…

A: Function

Q: et f(x) cx + In(cos(x)). For what value of c is f = T 4 = 4?

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Q: What does the graph of the equation 0 = 0 look like? A) The xz-plane B) The yz-plane C) The x-axis…

A: We have to find the equation corresponding to θ=0.

Q: Consider the following. 5e6x = 20 (a) Complete the table to find an interval containing the solution…

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Q: A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius…

A: Given that  radius of the cylinder r=5cm radius of sphere  R=9cm

Q: A population of squirrels grows exponentially at a rate of 4.6 percent per year. The population was…

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Q: Use cylindrical coordinates. Evaluate √x² + y² dv, where E is the region that lies inside the…

A: Change the integral into cylindrical coordinate and put the limit from given information...as I have…

Q: (3) Let f(x) = √4-2² be a function. For what value of x in the closed interval [0, 2] does the…

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Q: Find the solution of the initial value problem. dy = dx y(x) = = 6x² + 8x; y(3) = 15 6x²

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Q: the region inside the solid sphere o ≤ 7 that lies between the cones A) 343 -TU 3 B) 343 6 T 343 4…

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Q: Find the interval of convergence of ∞ (-3)" Σ -(x + 10)" n! n=0 (Use symbolic notation and fractions…

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Q: (1) Find the absolute maximum and/or minimum points and values for r(x)=on (3,7).

A: rx=x2-5x-3 , x∈3,7

Q: f(x, y) = −5x – 9y, (-4,9), A=4i-3j A) - 13 B) 5 C) -47 N D) //

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Q: 0000000 0000000 0 00000000 Check the boxes of the points where the graph has an global maximum A. a…

A: We have to choose correct option. As per our guidelines we can answer only 3 subparts of the given…

Q: Use the given transformation to evaluate the integral. x - 4y 8 dA, where R is the parallelogram…

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Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have…

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Q: 67. An early limit Working in the early 1600s, the mathematicians Wallis, Pascal, and Fermat wanted…

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Q: Express the limit as a definite integral on the given interval. lim 818 i = 1 exi 6 + Xi -Ax dx [0,…

A: Solving the following problem

Q: Problem #8: Demand for a certain kind of SUV obeys the following equation, D(x, y) =…

A: Given demand functionD( x, y ) = 22000 - 12x - 12( 0.9y - 10 )32 Also given x = 58200 + 300t y = 127…