11. f(x): = x-2 6x + 1

Q: 1. Find the exact value of the iterated integral: 11₁ If sin(x²)dxdy 0 y

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Q: Find the gradient of the function f(x, y, z) = zy², at the point (0,-1,-1) ▼ƒ(0, −1, −1) =

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Q: 5. Find the least and greatest distances from the origin to a point on the circle (x - 1)² + (y −…

A: We know that circle equation is - (x-h)2 +(y-k)2 = r2. Here (h,k) is centre of the circle and r is…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. h x = 3 + 2y², 1…

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Q: Find. lim X-0 2-2cosx X

A: use the l hospital rule for finding the limit.

Q: Find the equation for the plane through the points Po(− 2,2, — 5), Qo(1, -2,-5), and Ro(-3,5,-2).…

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Q: The figure below shows four named points A, B, C, and D on a grid generated by two vectors V₁, V2 in…

A: NOTE: Refresh your page if you can't see any equations. . the coordinate of v1 and v2 are

Q: 1 1 Calculate the gradient of h(x, y, z)=33 Vh= ← 1

A: calculate the gradient of h(x,y,z)=1x2.1y3.1z3

Q: n = 1 10" 4 +97

A: To determine the convergence or divergence of the given series.∑n=1∞ 10n4+9n

Q: 71-2 1 √n Inn

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Q: A 70lb weight stretches a string 10 feet. The weight hangs vertically from a damping force…

A: NOTE: Refresh your page if you can't see any equations. . weight is w=70  pound gravity is 32 m/s2…

Q: Use completing the square in order to put the followingation into te of the standard quadratic…

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Q: Find the sum of the series -6 -6 -6+- +...+ 2 Answer: -6 2n-1 ✔

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Q: Find the critical point of the function f(x, y) C = == (7x + y² + In(√x + y))). Use the Second…

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Q: 1. f√2X + 5dx 2. [ tanxsecxdx 3. f 2x√4x - 5dx

A: Since you have posted multiple questions, we are supposed to answer only first  question. If you…

Q: 3 Using the curves in Example 4, find the volume of the solid if the curves are rotated about the…

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Q: Set up one (or more) triple integral that will give the volume of the tetrahedron with vertices…

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Q: Write out the first three terms of the Maclaurin series for f(x) = 13 1+ The expression for the…

A: NOTE: Refresh your page if you can't see any equations. . substitute x=0

Q: Begin with the graph of y = ex. Use transformations to graph the function below. Then determine its…

A: Parent function:- y=ex Transformed function:-fx=-8-e-x

Q: Find the directional derivative of the function f(x, y, z) the vector v= (1, -2, 2). Answer: Dv f(0,…

A: Given f( x,y,z ) = xey + yez + zexGiven vector  { 1 , -2 , 2 }

Q: Sketch the situation if necessary and use related rates to solve for the quantity. A 10 -ft ladder…

A: Let the horizontal length of bottom of ladder from the wall is x ft and the height of the wall is y…

Q: 2. Solve the following equation. Round your answer to the nearest hundredth. Answer: ex – gex + 18 =…

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Q: Find the equation of the tangent plane to at the point (0, 5, 34). z = z = e² + y + y² +3

A: The given equation is; z=ex+y+y2+3 Point (0,5,34).

Q: Find the exact length of the curve. 36y2(x2-4)3, 4≤x≤6, y 20

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Q: Write the differential dw in terms of the differentials of the independent variables. 3x+y u+z…

A: We have to find differential.   Formula used -  d(u/v) = (vdu - u dv)/v2

Q: Find all antiderivatives of the following function. f(x) = e 20x ff(x) dx = x=-20e-20x

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Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given vertices ( 0,0,0 ) ( 0,0,4 ) ( 3,0,0 ) ( 0,4,0 )

Q: 3 Consider the function ƒ(x) = 5x³ + 4zº – 10z³ An antiderivative of f(z) is F(x) = Aï” + Bx™ + Cr²…

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Q: SOLVE the ff. D.E. 2 1.) x² y² = 4x² + 7 xy + 2y ² ļ CONSIDER THIS D.E. 2xy-3y2 (6x + y²) dx +…

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Q: Given that the graph of f(x) passes through the point (5, 6) and that the slope of its tangent line…

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Q: X , 0≤x≤6000. A company manufactures and sells x television sets per month. The monthly cost and…

A: The solution is given below

Q: Find the effective rate corresponding to the given nominal rate. (Round your answers to three…

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Q: Find the derivative (be sure to simplify): f(x) = sinh(ln(x²))

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

Q: Evaluate the integral using the following values. 8 ["x² dx = 960, ["x ax = 24, ["ax=4 dx dx J4…

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Q: Given z = = f(x,y), x= x(u, v), values given in the table below. Zu(3, 3) = 15+dq y = y(u, v), with…

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Q: Consider the function f(x) whose second derivative is f''(x) f'(0) = 4, what is f(3)? 2x + 2 sin(x).…

A: Topic = Integration

Q: ds Given the velocity v = and initial position of a body moving along a coordinate line, find the…

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Q: lve √√-36 de by using trigonometric substitution x=6seco..

A: Given Integral:- ∫x2x2-36dx

Q: Use a local linear approximation to estimate the value of 26.46. calculator.)

A: NOTE: Refresh your page if you can't see any equations. . here we need to find the cube root of  so…

Q: Let Use these values to evaluate the given definite integrals. (f(x) + g(x)) dx = b) ») ſª* (ƒ(x) —…

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Q: Calculate the directional derivative of f(x, y) = x³y² in the direction of v= 2i - 2j at the point P…

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Q: 4. Find the exact value of surface area of the solid that is described by the intersection of the…

A: To find the exact surface area.

Q: Find equations of the tangent line and the normal line to the graph of the given function at the…

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Q: Find the arc length function for the curve y = sin(x) + √1-x² with starting point (0, 1). s(x) = 4…

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Q: A tumor is injected with 0.9 grams of Iodine-125, which has a decay rate of 1.15% per day. Write an…

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Q: ns are on pougop at ang syo! sacop of patient solut y=u²+ v², x = u² − v², 'Rax = z

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Q: -6x - 8y y² i+ 4z4 7x+y 2, −4, −1)? Enter an exact answer. et F(x, y, z) = rovide your answer below:…

A: To find the vector associated with (2,-4,-1)

Q: d. Find the reflection of v = with equation 2x+y - 5z = 0. 0 1 -3 - in the plane

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Q: Let G₁ be the solid in the first octant that is inside the paraboloid 2x² + 2y² = 8-z and below the…

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Q: _ƒ(x) = 2 sin X at x = 0.

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