7. There is a removable discontinuity at x = 1 and f(1) = 4 %3D

Q: Dur heroine is trapped in a rectangular room that is 10 feet by 16 feet, with a ceiling that is 9 ee...

A: Given query is to find the rate of change of height of water in the room.

Q: the iner tind the area bound and the y-axir in the Firt quadrant.

A:

Q: x2 - 4x - 21 Let f(x) = Find a) lim f(x), b) lim f(x), and c) lim f(x). x-7 x→7 X→-3 ... a) Select t...

A:

Q: Notices Answer four questions only. Degrees are distributed equally to all questions : 00 Evaluate ,...

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Q: (c) S /2x – x² dx

A:

Q: Compute the derivative of f(1) = In(x In(x² In(r³))).

A: The given function f(x)=lnx lnx2 lnx3

Q: 3 The range of y = sin x is _______. -1 < x < 1 -1 < y < 1 y ≥ 0 y ≤ 0

A:

Q: The answer is: Find the exact value of a in the given interval that has the given circular value. Do...

A:

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: 7. Consider the indefinite integral J Then the integrand has partial fractions decomposition 6x+6x²+...

A: Given problem:-

Q: a) Find the inverse of the function. b) Sketch the graph of f (x) and f-1(x) on the same Cartesian p...

A: We can solve all the three parts as below.

Q: Find the volume OF the solid Formed by revolving the region bounded by the graphr of x- -y't 4y, and...

A:

Q: Select the function that is odd. f(x) = 3sin(x) f(x) = 3sin 2(x) f(x) = 3sin(x) + 3cos(x) f(x) = 3c...

A: We can find the odd function as below

Q: (b) If g(x) = [,! 1 dt, find g'(x) 4+t2

A:

Q: Prove that the tangent lines to the curves 5y – 2x +y³ – x²y = 0 and 2y + 5x +x* – x³y2 = 0 intersec...

A: Given: - The statement is, The tangent lines to the curves 5y-2x+y3-x2y=0and 2y+5x+x4-x3y2=0 interse...

Q: (10x -) dx

A: We can find the integration as below.

Q: Suppose that R is the finite region bounded by f(x) = VT and g(z) 4 Find the exact value of the volu...

A:

Q: 1 dx g3 – 2 -1/2 du.

A:

Q: (c) At what time do they have the same velocity? 13. If a ball is thrown into the air with a velocit...

A: Given query is to find the velocity of the ball. We will use derivative to find the velocity.

Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3, a...

A:

Q: A wheel turns 1,500 revolutions per minute. How fast does it turn in radians per second? 300 rad/sec...

A:

Q: Evaluate the integral. sin 8x cos 9x dx

A: Given that ∫sin8xcos9xdxSolution : 2sinAcosB=sinA+B+sinA-B12∫2sin8xcos9xdx12∫sin8x+9x+sin8x-9xdx12∫s...

Q: Expand the logarithmic expression log, Show your work and attach (c + 1)3

A: let x = logbbbc+13we know that logaan = nlogaa = nlogab = loga-log(b)

Q: Consider a hemispherical tank that is completely filled with water. The water exits the tank from th...

A: Given that, There is a hemisphere, Radius (R) = 5 m Length (L) = 2 m density of water (d) = 1000 kg/...

Q: If vector A is any non-zero vector, a unit vector in the same direction of A would be?

A:

Q: 12) A right circular cone has a fixed height of 7 units. Find the rate of change of its volume V wit...

A: NOTE: Refresh your page if you can't see any equations. . the volume of the right circular cone is g...

Q: Find the radius of convergence for: 9h Add Work Submit Question

A: If there exists an N so that for all n≥N,   an≠0 and limn→∞|an+1an|=L:If L&lt;1, then ∑an convergesI...

Q: When multiplying matrices to produce a new vector matrix, what must the dimensions of the matrix to ...

A: Suppose the origin matrix be A to multiply it with B to get the new vector-matrix C. That is BA=C

Q: Find the area enclored by the x-axis and

A:

Q: 0) (0) Evaluate f, y con xy dA R ((x,y): 0sxs, 0sys1)

A: The detailed solution is given below Thank you 

Q: Evaluate lim x-i x - 1 1 using the appropriate change of variable.

A:

Q: Let R be the region between the spheres x2 +y² + z² = 4 and x2 + y? + z² = 16 and above the xy-plane...

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Q: Find the derivative of the following function using logarithm laws. (2x2 + 3) y = (x – 1)2

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Q: Find all the local max/min and saddle points for the function f(x, y) = a + y³+3x2 - 3y? – 8

A:

Q: Express in terms of i. V- 4

A: -4=-1×4=-1×4=i×(2)=2i

Q: 1 SI. Evaluate dV, where E lies between the spheres x2 + y? + z? a2 + y? + z2 = 1 and æ? + y? + z² 1...

A: According to bartleby guidelines when student post more than one question then expert must have to a...

Q: S,(8x² – 3x² + 5x + 4)dx

A: We will evaluate the integral in the following step.

Q: Perform the indicated operations and write the result in standard form. - 8 + V - 20 24 ... - 8 + V ...

A:

Q: Evaluate f sin'y cosy dy. 2

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Q: 器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

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Q: 11T - If 0 = then 6. sin(0) = %3D cos(0) = %3D

A:

Q: Use the chain rule to compute the derivatives. a) f(x) = sin? x = (sin x)? b) f(x) = sin(x²) c) f(x)...

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Q: Each of the following definite integrals are improper. Determine which converge and which diverge. F...

A: We have to evaluate the improper integrals ∫0∞ 11+x2 dx ∫02 x4-x2 dx ∫1∞ ln(x)x dx

Q: Determine whether the Existence and Uniqueness of Solution Theorem implies that the given initial va...

A:

Q: Rewrite the following expression in terms of exponentials and simplify the result. (cosh 3x + sinh 3...

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Q: Slope of a tangent line at t1 = 6.0 and y = at?

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Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cota 21/20 -20/21 20/2...

A:

Q: If vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1) what Is C? Explain.

A: According to question,Given vectors A = (1,2,4) B = (3,4,1) and A+B+C = (3,2,-1)

Q: 2x+4

A: Topic = Integration

Q: How much work is done raising a 6 kg mass to a height of 18 m above the ground? (Use decimal notatio...

A: