A-[:]

Q: All boxes with a square​ base, an open​ top, and a volume of 200ft^3 have a surface area given by ​S...

A: We differentiate S(x) with respect to x. S(x)=x2+800xS(x)=x2+800x-1S(x)=2x-800x-2S'(x)=2x-800x2

Q: Please solve all parts very soon

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for yo...

Q: Find or approximate all points at which the given function equals its average value on the given int...

A: Average function:favg=1b-a∫ba fx dxGiven:a=-1, b=2Fx=1-x

Q: The volume of a cube is increasing atthe rate of 1200 cm3/min at the instant its edges are 20 cm lon...

A: Given : The volume of a cube is increasing at rate of 1200 cm3/min. To find: The rate at which lengt...

Q: Evaluate the integrals ∫4 cosh (3x - ln 2) dx

A: Given: I=∫4cosh3x-ln2dx here, 4cosh is constant, so it will come out from integral

Q: Find the area of the region bounded by y = 1, y= cos x, 2n and x= 0. 3

A: Given: The region bounded by y=1, y=cos x, x=-2π3, and x=0 To find: The area of the region. Formula ...

Q: Find the direction angle of the vector u=−6i+8j. That is, find the angle between 0° and 360° that u ...

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Q: What is r' (x) when r(x) = In (x³ + 2x2 + 3x + 1)? Select the correct answer below: O In (3z² + 4æ +...

A: Given, rx=lnx3+2x2+3x+1

Q: Rewrite sin(x+5π4)sin(x+5π4) in terms of sin(x)sin(x) and cos(x)cos(x) using one of the following su...

A: Given trigonometric expression is sinx+5π4. Above expression is the sum identity if sine function. s...

Q: Please how me how to do section b.

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Q: Using the definition of derivative, calculate f'(4) for 1 f (x) = 2x + 1 (Hint: First find f'(x) and...

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Q: Given y = V4x + 5, find the differential dy when a = 7 and dæ = 0.3. %3| Round your answer to three ...

A: Given data:   The expression for the given function is y=(4x+5)1/2. The given value of x is x=7. The...

Q: A particle moves along the curve *= 21² , y = t² – 4t and = = 31 – 5 where t is the time . Find the ...

A: Given: Position vector is given as, r→=2t2i^+(t2-4t)j^+(3t-5)k^ The objective is to find the velocit...

Q: f(x)=2x^2-7x+2 Compute f '(2) =?   Then Use this to find the equation of the tangent line to the par...

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Q: al.1.a solve the initjal condition problem dA - 0.07A, A (0)- 1000

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Q: Use the exponential function f(x) = 42.2(1.56)x to find the average amount spent, to the nearest dol...

A: Consider the following exponential function: fx=42.2×1.56x where, fx=Average amount spent in x hours...

Q: Please show work on how to get answers for c-e

A: ∫01ft dt=3 c). ∫132f3-2t dt Put  3-2t=u⇒-2=dudt⇒dt=-du2 Now when, t=1, u=3-21=1 when t=32, u=3-232=0...

Q: Solve the equation sin (40) + sin (60) = 0 on the interval 0<0<2x.

A: Given, sin4θ+sin6θ=0

Q: lim xsin(5/x) x→∞

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Q: Suppose f(x,y,z) = and W is V² +y² +z? the bottom half of a sphere of radius 5. Enter p as rho, o as...

A: For conversion of rectangular coordinate system to spherical coordinate system: x=ρ· sin ϕ ·cos θ  y...

Q: Calculus Question

A: Consider the given function, fx=2xx+6x2x According to the product rule of exponents when we multiply...

Q: Use the graph to determine a. intervals on which the function is increasing, if any. b. intervals on...

A: Given:

Q: The path of a satellite orbiting the earth causes it to pass directly over two tracking stations A a...

A: Let h be the height from the ground at the point P on the ground from figure,  tan86.8=hPAPA=htan86....

Q: Geometric means A quantity grows exponentially according to y(t) = Yoe". What is the relationship am...

A: Concept: The calculus helps in understanding the changes between values that are related by a functi...

Q: Problem 3: a) If F(x) = f(g(x)) where f(- 2) = 8, f(-2) = 4, f(5) = 3, g(5) = -2 and g'(5) = 6, find...

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Q: Identify the type of conic section whose equation is given. 2x2 = y2 + 2 O hyperbola parabola ellips...

A: Given: The equation 2x2=y2+2, To determine: The type of conics.

Q: Evaluate the definite integral using the given values

A: Given: verify that ∫26x3dx=320 for verifying given integral we solve left hand side

Q: The integral from 0 to 27 of 3/(x^(1/3))

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Q: Find the degree 2 Taylor polynomial of f(x) = In(x + 1) %3D at a = 1

A: The Taylor polynomial about 1 of degree 2 is given by: T2(x)=f(1)+f'(1)(x-1)+f"(1)2!(x-1)2  

Q: sum & difference identities, condense each of t 1. cos25 cos15° – sin25°sin 15° 3. sin140°cos50° - c...

A: Solution :-  

Q: Use properties of logarithms to expand the logarithmic expression log4(64/y)  as much as possible. W...

A: Given logarithm expression is log464y . Properties of logarithm are: 1). logmn=logm-logn 2). logam=m...

Q: Find the orthogonal trajectories for the family of curves y2 = Cx3 . Use a graphing utility to graph...

A: Given curve is y2=Cx3.

Q: Use the order of operations to simplify expression. 6(-4) - 5(-3) / 9 - 10

A: Given- 6-4-5-39-10 To find- the value of the simplified expression. Concept used- BODMAS ( bracket, ...

Q: Use the guidelines of this section to sketch the curve   y =2 sqrt x - x

A:  Given              y=2x-x

Q: Evaluate (-31-2/3 – 4) dt. Enter your answer as an exact fraction if necessary.

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Q: Find a cubic function f(x) = ax3 + bx2 + cx + d that has a local maximum value of 4 at x = −4 and a ...

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Q: Find the number c that satisfies the conclusion of the Mean Value Theorem on the given interval. (En...

A: Given function is fx=x. The function f is satisfies the conclusion of the mean value theorem over th...

Q: Given xy + cos(xy) – 4x 5, answer the following: Write the equation of the normal line to the curve ...

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Q: A lamp with a parabolic reflector is shown in the figure. The bulb is placed at the focus, and the l...

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Q: Find the exact value of each expression. tan -1  (1/ sqrt 3)

A: Given expression is tan-113. We have to find value of given expression. Let θ=tan-113 tanθ=13tanθ=ta...

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(x) =  x x2...

A: Consider the equation

Q: What is the first derivative of f(x) = -9(e²)-². Select the correct answer below: O f'(z) = -9e 2= O...

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Q: setup dxdydz only

A: Given: ∭Bx2+y2+z2dV, whereB=x,y,z:0≤x≤4, 0≤y≤4, 0≤z≤4 To Setup: dxdydz