dz %3D

Q: A company plans to manufacture a rectangular box with a square base, an open top, and a volume of 45...

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Q: 4 8. 1 Evaluate the determinant 7 -6 0 3 1 4 8 1 6 0 =-1 %3D - 3 2 1

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Q: Let F(x) = ƒ(x) + g(x), G(x) = ƒ(x) - g(x), and H(x) =3ƒ(x) + 2g(x), where the graphs of ƒ and g are...

A: From the given graph: The line y=f(x) passes through the points (9,0) and (0,9). So, The equation o...

Q: Draining a tank Water is drained from a 3000-gal tank at a rate that starts at 100 gal/hr and decrea...

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

Q: Find the area of the region bounded by the graphs of the equations y = e, z = 0, z= 5, y = 0

A: To find the region bounded by the following graphs of equations,  y = ex  x = 0 x = 5 y = 0

Q: Evaluate this definite integral using the limit definition

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Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =...

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Q: please answer the following questions thank you

A: Given function is fx=-2x3+27x2-108x+6

Q: f(x) = 3 In(5x^2 + 5x + 4) Find F'(3)  round answer to 4 decimal places

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Q: If z=xe^y,x=u^3+v^3,y=u^3−v^3, find ∂z/∂u and ∂z/∂v.   ∂z/∂u= ∂z/∂v=

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Q: Use the chain rule to find ∂z/∂s and ∂z/∂t, where z=x^2+xy+y^2,x=6s+5t,y=5s+4t First the pieces:∂z/∂...

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Q: Perform the indicated operation and write the answer in decimal notation : (3 * 103)(1.3 * 102)

A: Given: 3×1031.3×102

Q: Find local extrema using the second derivative test for the following function: f(x) = x In x

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Q: How do we graph a polar equation?

A: To draw the graph of a polar equation, find the symmetry of the given equation. Test the symmetry ab...

Q: Find the critical points of the function f(x, y) =x³+y³+3x²-3y²-8 (0,0), (0,2), (-2,0), (-2,2) a. Ob...

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Q: pls help

A: Given,            

Q: #18) Find the indicated derivative for each function

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Q: Solve the following linear Differential Equation

A: Dut to guidelines we can solve one question at a time .if you want others solution too.you can just ...

Q: Cusp and Corner The graph of f(x) has a cusp at (a, f (a)) if f(x) is continuous at 'a' and if the f...

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Q: Exponential growth and decay    One question- needs 2 answers. Look at whole problem please.  During...

A: Given, A patient circulatory system requires at least 50 mg of anesthetic. The amount of anesthetic ...

Q: Use properties of logarithms to evaluate without using a calculator. 6log[4](2) + (log[4](64)/3log[4...

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Q: Evaluate the following definite integrals. 1. ∫02 (x/(√1+2x2)) dx 2. ∫π/12π/4 csc(2x)cot(2x) dx

A: Since you have asked multiple questions in a single request, we would be answering only the first qu...

Q: Find the area of the region (draw graph) bounded by the graphs of y = x ^ 3 + x , x = 4, y = 0

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Q: Find an equation of the normal line to the parabola y = x 2 - 5 x + 4 that is parallel to the line  ...

A: Given:       y=x2-5x+4 is parallel to the line x-3y=5.

Q: Let f(x,y) = 3x 2 y + e x+2xy . Determine the line integral of f (x,y) with respect to arc length ov...

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Q: Differentiate with respect to x. Y=sin5x

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Q: 9x2 - 18x + 4y +8y = 23 defines an ellipse with center ( 1 -1 ). The major axis has length and the m...

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Q: Please show steps on how to solve

A: Given :           ∫191-9t7dt

Q: Find the limits in Exercises 36-40  Are the functions continuous at the point being approached?

A: We’ll answer the first three questions since we answer only one question at a time. Please submit a ...

Q: A construction company has adjoined a 4900 ft22 rectangular enclosure to its office building. Three ...

A: For the given question, Let us find (a) Find a formula for L in terms of x and y. L(x,y)= (b) Find a...

Q: #40) find the intervals on which f(x) is increasing, intervals where f(x) are decreasing, and the lo...

A: Given that: The equation is f ( x) = - x 3 + 3x + 7 .  

Q: f'(x)=12x3+1/x,    x>0,  f(1)=10   find f

A: Integrate both sides of f'x with respect to x as shown below: ∫f'xdx=∫12x3+1xdxfx=12×x44+lnx+Cfx=3x4...

Q: Let f be an invertible differentiable function satisfying 1 f(a) =b, f'(@)=+² 1+a²° 1 Then (f-1)'(a)...

A: Given: f be an invertible differentiable function satisfyingf(a)=b, f'(a)=11+a2 To Find: f-1'a Conce...

Q: This exercise uses the normal probability density function and requires the use of either technology...

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Q: please answer the following question thank you

A: Given the graph of the function f(x),

Q: pls help

A: Given: Given:fx=-5x3+15x+6 To Find: a. Find the critical number of f.b. Find the open interval on wh...

Q: Differentiate the function.  S(R) = 4 pie R2

A: S(R)=4πR2To do:Differentiate

Q: sec 9.2

A: Given that, sin(3θ)=3sinθ-4sin3θ We have to prove that sin(3θ)=3sinθ-4sin3θ is an identity. First, c...

Q: A company finds that quantity demanded changes with respect to price at a rate of D '(p)= -3000/p^2....

A: A. Consider the given quantity demand function, D'p=-3000p2 solve the given differential equation us...

Q: Solve the triangle using the Law of Sines. (Assume b and c = 26, and ∠C = 69°. Round the length to t...

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Q: In Morse code, symbols are represented by variable-length sequences of dots and dashes. (For example...

A: With a sequences of length 1 we can represent 2 symbols. With a sequence of length 2 we can represen...