Using derivatives find the absolute maximum and minimum of the following function over 1 ≤t≤ 25. Show all of your work. [5 Marks] f(t) = t² + 2t + 16 t+2

Q: Suppose that f(x, y) = √5² - x² - y² at which {(x, y) | x² + y² ≤ 5²}. +y=5 Then the double integral…

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Q: SIS dV, where E lines between the spheres x² + y² + z² = 4 and E x² + y² + z² 2 36 in the first…

A: To evaluate the given triple integral, we can use spherical coordinates because the integrand…

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Q: Reverse the order of integration and then evaluate the integral. {{ sin y y - cos 9 cos 9 1+ cos 9…

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Q: 7) By graphing both expressions, approximate the solution to; x² = ex

A: By graphing both expressions, approximate the solution to; x2= ex

Q: The average value of the function f(x)=√x+2 on [2, 7] is equal to Select one: O True O False 38 15

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Q: Compute - [In(4x² − 3)] d dx Note to type in a fraction it should look like (a)/(b)

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Q: #4 Find the magnitude and direction for the vector: Hint: Use trigonometry to find the direction.…

A: NOTE: Refresh your page if you can't see any equations. . the given vector is  compare this vector…

Q: The graph of y = f(x) has f(5) = -1, f'(5) = -3, and f"(5) = 2. Which of the following might be a…

A: f(5) < 0 , therefore only 3 graph can be correct

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. 42)…

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Q: Find the local maximum of f(x) Be sure to show your work for x + 2 x² +6

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Q: Rewrite the integrand in terms of u so that the integral f(u) = x √ (32²² -da takes the form…

A: To rewrite the integrand in terms of u so that the integral ∫x3x2+64 dx takes the form ∫fu du.

Q: e (RE-g)2 202 апо2 . e (пс-(4_92/k))2 20² 2пог

A: Concept - If base is same then power will be add together Given expression [ e-( π∈ - g )22σ22πσ2].[…

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Q: Use implicit differentiation to determine given the equation x² + y = e³. dy dx = dy dx

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Q: The x-intercept(s) of a rational function are determined by finding the zeros of the denominator.…

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Q: 4. Evaluate and x² + y² ≤ 2. dA where R is the region in the xy-plane for which x 21 (x² + 3²)² R

A: The given integral is: ∫∫R1x2+y22dAwhere R is the region in xy plane for which x≥1 and x2+y2≤2.

Q: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

A: Calculate the area of the region bounded by the curve y = 2√1 − x^2 and the lines x = −1, x = 1, y =…

Q: Evaluate using integration by parts or substitution. Check by differentiating. In (x+11) dx

A: Consider

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20…

A: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 20…

Q: Use the graph of the function f to decide whether the value of the given quantity exists. If it…

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Q: Show whether or not the vector field F(x, y) = (ex² + y², 2xy - siny) is conservative.

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Q: The general term of the sequence -1 1 -1 1 3 4'5 is Select one: O True O False 1, An 2 = (-1)" n "…

A: We have to find the sequence by using the general term. The general term is given by…

Q: Use the indicated method of solution for the following. ㅠ 1. Solve: sin x cos² y dx + cos² x dy = 0,…

A: *Note – As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Evaluate √a²-x² -√√a²-x² { 2xy dx dy

A: The given integral ∫0a∫-a2-x2a2-x22xy dx dy.

Q: Solve the problem. 43) A rescue cable attached to a helicopter weighs 2 lb/ft. A 180-lb man grabs…

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Q: derivative

A: To find the derivative of the given function.

Q: Find the general integral of the given differential equation. Give the answer in the form ψ(x;y)=C.…

A: Given DE is,

Q: Use an addition or subtraction formula to find the exact value of cos 15° A B = = √A√B+1) 4

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Q: This is for calc 1. Please find the area of the region. The two equations given were [2x+y^2=8] and…

A: The given equation of curves are 2x+y2=8 and x=y

Q: Evaluate the integral. 12 F(X). f(x) dx where f(x) if -2 ≤ x ≤ 0 (6x² if 0 < x < 2 = {2-x²

A: Given: f(x)= 2 for [-2,0] and f(x)=6-x2 for (0,2]  We have to find the value of integration of f(x)…

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Q: Solve the right triangle shown in the figure for all unknown sides and angles. Round your answers to…

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Q: #3 Find the horizontal and vertical components of the vector. Hint: Use trigonometry to find each…

A: Given: We are required to find: The horizontal and vertical components of vector.

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Q: Let f(x) = 2e²+1 +e6. ƒ'(0) =

A: Given that:   f(x) = 2e(x^2+1) + e6.   We find differentiate of f(x) and again we find f'(0).

Q: Use the Divergence Theorem to compute the net outward flux of the following field across the given…

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Q: Find the area of a spherical triangle with three right angles on a sphere with a radius of 1880 mi.…

A: We are required to find: Area of a spherical triangle with three right angles on a sphere with a…

Q: Y=x2ex-4  dy/dx= 2xex-4+x2ex-4 find the evaluation of the normal to the curve at the point where…

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Q: Find the maximum for the profit function, P = 15x + 25y subject to the following constraints. 3x +…

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Q: 13. DETAILS LARTRIG11 3.1.502.XP. Use the Law of Sines to solve the triangle. Round your answers to…

A: C=94.35∘a=35c=50

Q: Determine the equation of the tangent to f(x): 1 tan²x (7›1). at the point

A: Determine the equation of tangent to f(x) = 1/tan2x  at the point( π/4,1).

Q: The volume of the solid of revolution obtained by rotating the area enclosed by the curves: y = −2x²…

A: The region bounded by the curves, y = -2x2 and  y =x2-3 around the x-axis.

Q: The rate of expenditures on public elementary and secondary schools, in billions of dollars per…

A: st=4.08·e0.074t from 1990 to 2010 , therefore total 20 years

Q: The integral that represents the length of th curve y = cos x, where 0 ≤ x ≤, is the < following:…

A: The integral that represents the length of the curve y= cosx, where 0≤x≤π2,is the following…

Q: Evaluate the first partial derivatives of the function at the given point. f(x, y) = 9e* In(y); (0,…

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Q: The area of a circle, A=², changes as its radius changes. If the radius changes with respect to…

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Q: Find all the first order partial derivatives for the following function. f(x, y) = 9x - 5y²-3

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Q: Set up the definite integral that gives the area of the region. Y₁ = (x - 1)³ Y1 1 S Y₂ = x - 1 Y2…

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Q: Given the function: f(x) f(x) = 25 True False = 25x 0.45x - 0.4x² the relative rate of change is

A: The given function is F(x)=25x-0.4x2.