Find the indefinite integral. (Remember the constant of integration.) (0.9t2 + 0.08t + 9) dt

Q: Sketch the region bounded by the given curves, then find its area. x = y^2, x = y + 6

A: The graph is shown below in which the chex region represent the area.

Q: Assume that the function f is a one-to-one function. (a) If ƒ(6) = 2, find f'(2). Your answer is (b)...

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Q: Find the indefinite integral. (Remember the constant of integration.) dx xº - 8

A: Given query is to find the value of the integral.

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j ...

A: To find unit vectors that satisfy the stated conditions.a Same direction as -3i+2ju=?b Oppositely di...

Q: Find the open intervals where the function f(x) = - 2x" + 12x + 167x - 2 is concave upward or concav...

A: Given problem Find the open intervals where the function f(x) = -2x³ + 12x² +167x-2 is concave upwar...

Q: Suppose that f(x, y) 3, and D = {(x, y) | æ² + y² < 16}. Then the double integral of f(r, y) over D ...

A: Solved below

Q: Prove the following: sin² 0 – cos² 0 = 1– 2cos² 0 %3D

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Q: Use polar coordinates to rewrite the double integral int _0^4 int _0^{sqrt{4-(x-2)^2}}  (x+y)/(x^2+y...

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Q: State both forms of the Chain Rule for calculating the derivative of y = f(g(x)). State both forms o...

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Q: Let D be the trapezoidal region in the ry-plane bounded by the graphs of z = 0, y = 1, y = z and y =...

A: We have to solve for the area by integration. 

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square r...

A: Given problem:- What is the surface area generated by revolving the parabola y = x2 from x = 0 to x ...

Q: dw dw and ds 3 Assume that w =f(s° +t) and f'(x) = ex. Find dw at dw do II

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Q: bounded

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Q: A. y? = 1+ a? + 22 C. a² + y? = z? %D B. y? + 22 = x? D. 22 = 4+ 4x² + 4y? %3D

A: 1. Answer : V

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your a...

A:     L-15s-8s2+16=L-15ss2+16-8s2+16=5L-1ss2+16-8L-11s2+16=5cos4t-8·14sin4t=5cos4t-2sin4t

Q: The plane that contains the point (3, –1, -4) and the line with equation y – 1= 3z is orthogonal to ...

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Q: 1. Approximate the area under the curve of y = e¯** from x = 0 to x = 1 using: a. R4 h Le %3D

A: Reimann sum

Q: Find for F(X,)= Sin xy+ T Y²-x = 0

A: Given query is to find the derivative of the expression.

Q: 5. Find the area of the region contained inside the unit circle {x² +y? = 1} and outside the rose de...

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Q: Match the quadric surfaces to its graph. A. y? + 22 = 4 + 4x? C. 9x? + 4y? = 36 + 36z2 B. 4x2 + y? +...

A: This is a problem related to the curve plotting in the 3 dimensions. Based on the available concepts...

Q: alternative ax was created to prevent weälthy using creative deductions and shelters to avoid having...

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Q: If f'(x) = x(x – 1)(x + 3), then f(x) has a local minimum at: Select one: O a. ? = 0 only O b. x = -...

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Q: Express the parametric y = 2 +9 in the Cartesian form y f(x). curve x = t + 6

A: This question can be solved by eliminating t from both the equation.

Q: The line that passes through the points (4, –2,0) and (1, 1, 1) is parallel to which vector? Check a...

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Q: n+2 00 Σ n=0 V2+n 15. 2n 17. 8

A: As per the guidelines  we can answer only one question. If you want to get answer of your other ques...

Q: 4. Find a polar equation in the form r = f(0) of the ellipse with eccentricity e = - such that one o...

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Q: Find the displacement vector with initial point A(-3,4) and terminal point B(1,1) and determine the ...

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Q: Determine if the series is convergent or divergent. Show your work, and clearly state the test used ...

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Q: Part D lim,→0 k (x), if k (x) =

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Q: Determine the equation of the plane that contains the lines Li and L2. L:x = 3 – t, y = 5+3t, z = -1...

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

Q: Which of the following is equivalent to the surface area of rotation of the function y on the interv...

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Q: 2. Given the graph of f'(x), sketch a possible graph of y = f(x). Make your thinking clear using con...

A: We have to draw the graph of f(x).

Q: 2, A drone is flying at a level altitude of 20 meters struight toarards an 06server on the ground. I...

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

Q: find the integration of 1/(sinx*√(sin(2x))) .dx

A: Let's find. 

Q: Find the indefinite integral. (Remember the constant of integration.) | (3 + x + 4e*) dx

A: I=∫ 3+x+4ex dxI=∫3 dx +∫x dx +∫ 4ex dxI=3∫dx +∫x dx +4∫ ex dxI=3x+x22+4 ex +C

Q: Evaluate the iterated integral. cos(e) 3r2 sin(e) dr de

A: Given query is to find the value of the integral.

Q: xy = 4, y = x,y = 1; about the x-axis.

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Q: Draw the slope field for Y - 2y dx

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Q: In Exercises 1-4, use the comparison test to confirm the statement. 1. 2 diverges, so diverges. n-3 ...

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Q: 2. Tell one Solution to this graph..

A: Given query is to find the solution of the graph.

Q: - 4x +7 on the interval [0, 4). Verify that this function satisfies the three Consider the function ...

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Q: Y= cas Cex), Y= sinx, 0SXT

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Q: Use any appropriate method in finding the indicated solution of the following differential equations...

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Q: 36,37

A: As per our guideline is multiple questions are posted we are supposed to answer only the first one. ...

Q: (y – 3)² (x + 1)? 1 36 The exact distance from the center to each focus is:

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Q: Undelined

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Q: Suppose that f(x, y) = e"/♥ on the domain D = {(x, y) | 0 < y < 1,0 < a < y*}. Then the double integ...

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Q: 2. If y = xlnx,

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