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Q: 18 Find | f(x) dx for each graph of y = f(x). (a) 20- (b) AY 20-

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Q: Given the piecewise function defined below, determine the value of f (x)dx in simplest form. -6x² + ...

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Q: iven vector u = (-1, –5) and v = (-2, –1) , determine the value of 5v – u in omponent form.

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Q: drones

A: We will find the rate of change of hypotenuse. 

Q: 5. Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile...

A: Solution ) dv/dt = 25 ft3/ sec  h = d/4  d = 4h  [ d = r/2 ] r/2 = 4h  r = 2 × 4h  r = 8h  h = 5 fee...

Q: 2) Use a change of variables to evaluate ff, zdV; where D is bounded by the paraboloid z = 16 – x² –...

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Q: Solve each problem A segment has a midpoint at (10. 5, –0.5) and the endpoint at (6, 11). What are t...

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Q: Given vector u = (3, 1) and v (1,3) , determine the value of 2u – 3v in component form.

A: Use component wise addition and multiplication for required answer. 

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

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Q: (-x- 3 if x 2 A) -1 B) does not exist. C) 6 D) 00

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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: Find the area of the parallelogram that has u = i – j+ 2k and v = 2j + k as adjacent sides. NOTE: En...

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Q: need some assistance with problem #16, please?

A: Topic:- application of calculus

Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3, -1...

A: Graph of f' on the interval -3,2 is given.f'<0 for -3,-2f'>0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: (d) y" – 8y' + 20y = 100x² – 169xe". %3D - (e) y" – y' – y = exp(5x). %D | (f) y" – 2y' + 5y = e" si...

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Q: 16 – x2 – 4y2 Use a change of variables to evaluate fSS, zdV; where D is bounded by the paraboloid z...

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Q: E -Y - 4 = z + 6 6

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Q: Sand is pouring from a hole at the rate of 25 cubic feet per second and is forming a conical pile on...

A: Solved below

Q: Let a = ci + j andb = 7i + 24j. Find c so that the angle between a and b is. Round your answers to f...

A: The objective of the question is evaluate the value of "c" for the given vectors.

Q: -3. 3) to the curve given by f(x) =

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given by the vectors u, v and w is...

A: By using the fact that the volume of a tetrahedron with adjacent edges given by the vector u,vand w ...

Q: If f : a, b] → Ris differentiable at a point c E (a, b), then f is continuous at c. True False

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Q: Consider the following. u = 5i + 3j, v= 2i + 4j (a) Find the projection of u onto v. 296i + 111j 73 ...

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Q: b) y = (-x – 1)2 + 2 3 1 -5 -4 -3 -2 -1 1 2 -1 -2 -3 -4 Vertex: Left: Right: 4) 4, 2.

A: The given function,     y=-x-12+2

Q: 3 1. 2y2/3

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Q: (3e)® arctan (3x³) In(e2«) arccos(5x) 1. Find the derivative of f (x)

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Q: 2. Determination of integrating factors: 2y(x² – y + x kdx + (x² – 2y kdy = 0

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Q: 5. (a) Complete the following unit circle. 0 or 27 11T 6 klo . 프

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

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Q: cosx sec? x+ cos x csc² csc² x csc² x secx cos x cos x If f(x) * , then f f (x)dx_ 1 cos x

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Q: FIND THE INTEGRAL USING U-SUBSHI TUTION Hcochx cothtx dx Slebeh 2

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Q: Evaluate the limit: limx→0 √6x+64−8/−4

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Q: Match the second-degree equation to its graph. A. C. r² + y? + 2? – 2x + 2y + 4z + 6 = 0 r² + y² + z...

A: A The equation is x2+y2+z2-2x+2y+4z+6=0  x2+y2+z2-2x+2y+4z+6=0x2-2x+y2+2y+z2+4z=-6x2-2x+1+y2+2y+1+z2...

Q: A company estimates that the cost (in dollars) of producing x units of a certain product is given by...

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Q: Find the equation of the tangent line to the parabola y = x^2 - 3 at point p(2,12)

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Q: Find the gradient of the function at the given point. g(x, y) = 14xeV/x, (13, 0) Vg(13, 0) = еВook

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Q: 1. The exact differential d(xy)= xdy+ ydx, what is the d( = 4x' y'dy+2xyʻdx. 2. The exact differenti...

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Q: 3. Given w = x² + y² + z²; z = te"+s, use the CHAIN RULE to find x = ret+s; y = se**; and aw а. ar a...

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Q: 3. S (xº – + 2ex) dx

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

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Q: Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = ln...

A: the given function f(x)=ln x on the interval [1, 6]

Q: cos s 40 d0

A: Let's find. 

Q: Note: You should leave any answers in surd form, instead of using decimals. To input inverse trig fu...

A: Since you have asked a question with multiple parts in a single request we would be answering only t...

Q: Зх - 8 If 3 = 0, then x = ? 3 3 Зх— 8 3 Зх — 81 3. 3.

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Q: Consider the points A(3, –2,3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). |(a) Find the volume of ...

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Q: , if x + -1 -2, if x = -1 Prove that f(x) = {x+1 is continuous at a = -1 by showing the following. i...

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Q: Consider the points A(3, –2, 3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). (a) Find the volume of ...

A: Gven points,A3, -2, 3B4, -4, 1C-2, -3, 1D5, 3, -4

Q: ||v|| = 4, 0 = 3.4°

A: Given query is to find component of v.

Q: Find the indefinite integral. Check your result by differentiating. (Use C for the constant of integ...

A: Indefinite Integration

Q: Find dy/dx by implicit differentiation. 5+ 5.x = sin (ry²) dy/dx = %3D

A: Given that,   5+5x=sinxy2