alculate the curvature of the vector function when t=0.1: 7(t) = (e", V2t, et)

Q: Find the domain and range of -4 < a<0, f(r) = 0 <r<4.

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

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

Q: Provide an appropriate response. If xy + x = 12 and dx/dt = -3, then what is dy/dt when x = 2 and y ...

A: We will find the value of dy/dt with the help of the given data x=2 ,y=5 and dX/dt=-3 as following.

Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: The solution of the exact differential equation (3x² + 4xy)dx + (2x² + 2y)dy = 0 is: None of the abo...

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Q: Which of the following is/are true of f(x) =(x+3)*at x = -3? A. Continuous at r=-3 B. Discontinuous ...

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Q: DO NOT include spaces in between characters. * Given F(x)= f(x)g(x) and f(2) = -3, f'(2) = 4, g(2) =...

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Q: Find  dy du,  du dx, and  dy dx. y = 2   u,     u = 5x + 3

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

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Q: Evaluate f'(-2) if f(x) = x* – 5+ x-2 + 4x-4.

A: The detailed solution is given below Thank you 

Q: for power substitution method, next step is For S dx xp: 4u³dx 4u³dx 1+ u* 1+ (u*)ã Option 1 Option ...

A: Find your answer below 

Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Q1. Fill in the blank with a suitable mathematical expression. 1. The function f(x) is symmetric abo...

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Q: Given that y, (x) = x-1 and y, (x) = x3/2 are solutions of the differential equation 2x2y" + xy'-3y ...

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Q: A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount o...

A: Question- A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, th...

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

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Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: dy e. dr + 4y = x² dy = sin(x + y) dx f.

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Q: -1 For f dx

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Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the t...

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Q: Evaluate: / sin yeos'ydy. sin A) +C none of the given choices siny +C siny +C 8 (D siny siny E +C 8 ...

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Q: Question 8 of 8 Use the fact that the volume of a tetrahedron with adjacent edges given by the vecto...

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Q: -1 to be continuous at s 1. -1 Define f(1) in a way that extends f(s) (1)=(Type an integer or a simp...

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Q: At which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 42 ...

A: Differentiable

Q: Find the compos Ite functions (f g) and (gn. What is the domain of each composite function? (Simplif...

A: We can answer all parts as below.

Q: (1- y*)dx + (x° + e*)dy where C is the boundary of the region between the circles x² + y² = 4 and x²...

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Q: dr Let A be the area of a circle with radius r. If dt dA when r = 3. dt 5, find

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Q: nt Use A = P(1+– where: n A = the amortized amount (total loan/investment amount over the life of th...

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Q: A pharmaceutical company is testing a new drug. After a person takes Ao mg of the drug, the amount o...

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

A:

Q: sin(4-y)sin(3-y)dy

A: Use the formula sin(A) sin(B)=12(cos(A-B)-cos(A+B))Consider ∫sin(4-y)sin(3-y)dy=∫12(cos(4-y-3+y)-cos...

Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: ng in such a way that its radius is decreasing at a rate of 0.3 cm/min. At wi wball decreasing when ...

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Q: Write a rational function that has x=-2 as its only vertical asymptote, a hole on the line x=2 and a...

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Q: Determine if the lines intersect, or are skew, or are parallel. L1: x = 4+ 2t, y = -5+ 4t, z =1+3t L...

A: We will find whether the lines intersect, or are skew ,or are parallel as following.

Q: Use integration by parts to evaluate the integral:

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Q: a2 - 3x + 1, r 3 Evaluate the following limits for h(x) = and Justify your answer. (i) lim h(x) I +...

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Q: Use a linear approximation to estimate the following quantity. Choose a value of a to produce a smal...

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: nsider the parallelepiped with adjacent edges u = 6i + 7j +k v = i+j+5k w = i+ 7j + 9k d the volume.

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Q: Rewrite the following integral using substitution: " s in3xdx

A: We can rewrite the integral using substitution as below.

Q: Q2 a. Solve the nonhomogeneous differential equation: y" -5y" -6y' = 3e2*

A: The given differential equation is : y"'-5y''-6y'=3e2x. Repost the next part. 

Q: Use the formula for the binomial series: m(m–1) ,2 + (1 + x)" = 1+ mx + 2! m(m–1)..-(m-k+1), k! %3D ...

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Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: Using an appropriate substitution, eXsec²(e*) the integral S dx equals: e-tan(e*) - Inle – tan(e*)I+...

A: This question is based on indefinite integral.

Q: 1. Below is the graph of f(x) = |x]. Using the right side of the function with the equation y =x, co...

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Q: Solve the problem. A company knows that the unit cost C and the unit revenue R from the production a...

A: To find the rate of change of unit revenue, We will differentiate the given relation formula with re...

Q: Differentiate y - V3x² – 4 using the Chain Rule. 6. What is the outer function of the given problem?...

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Q: 4 Find the value of f'(-1) if ƒ (x) =. (3xr² – 2x +1)

A: we have : f(x) = 4(3x2-2x+1)3 To find :f'(-1)

Q: The given point P is loc the angle e, also sine, V3 1) P Quad: sin 0: cos e: tan 0:

A: