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Q: Use f(x) = 2x − 4 and g(x) = 5 − x2 to evaluate the expression. a) (f ∘ f)(x) b) (g ∘ g)...

A: Given fx=2x-4 and gx=5-x2 Now, af∘fx=ffx =f2x-4 =22x-4-4 =4x-16-4 ...

Q: Give the center and radius of the circle described by the equation (x + 2)2 + (y + 2)2 = 4 and graph...

A: the given equation of the circle is x+22+y+22=4 the equation of the circle can be written as: x+22+y...

Q: Find dy/dx for y =x − 1/ex√(1-2x)

A: given: y=x-1ex1-2x it can be written as: y=e-xx-11-2x we have to calculate the value of dydx.

Q: On a certain route, an airline carries 7000 passengers per month, each paying $90. A market survey i...

A: Given 7000 passengers per month paying $90. Each $1 decrease in the ticket price. The airline will g...

Q: Determine whether the statement makes sense or does not make sense, and explain your reasoning.

A: From the given statement, y=-cotx+π4.

Q: 5. Evaluate the following derivatives. (a) y" where y = x7 + 3 ln(x). %3D

A: a) find y''' where y=x7+3ln(x) First we need to find first derivative with respect to x use power ...

Q: X dy/dx =y

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Q: Evaluate the iterated integral

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: ***The answer is NOT (5√2, 10) Identify the open intervals on which the function is decreasing. (En...

A: Let f(x)=y. Differentiate the function with respect to x, to find f'(x). fx=y=x100-x2f'x=x12100-x212...

Q: 13.5 #7 Question 7 please explain every steps , even the simple steps . I get confused

A: Click to see the answer

Q: In Exercises 1–10, assume that T is a linear transformation. Find the standard matrix of T.

A: Given that T:ℝ2→ℝ2 is linear transformation such that T rotates the points about the origin through ...

Q: A parabola has the equation -5x + 9 = 5y – 3y – 136. Find the equation of the line that is tangent t...

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Q: Use Simpson's Rule to determine the average temperature in a museum over a 3-hour period if the temp...

A: By Simpson's Rule the average value of a function fx over the given interval a,b is calculated by us...

Q: Evaluate the surface integral. xz ds S is the boundary of the region enclosed by the cylinder y² + z...

A: Click to see the answer

Q: How would you multiply this equation

A: We have to multiply 2x-ix+ix+5 2x-ix+ix+5=2x-ixx+5+ix+5=2x-ix2+5x+xi+5i=2x-ix2+5x+x+5i=2xx2+5x+x+5i-...

Q: Solve the linear programming Problem:Minimize Subject to C=-7x+yx+5y less than or equal to 206x+5y ...

A: Draw the given inequalities to obtain the feasible region as shown below. From above figure, the co...

Q: Show the solution on how to compute for the point of inflection and concavity of y= sin2(x)-2cos(x) ...

A: Consider the following equation: y=sin2x-2cosx Differentiate y with respect to x: y'=2sinxcosx+2sinx...

Q: Describe all solutions of Ax= 0 in parametric vector form, where A is row equivalent to the given ma...

A: The solutions are x1=3x4, x2=8+x4, x3=2-5x4 and x4 is free. Write the solution as a column vector. X...

Q: The supermarket's cola products cost $16.20 per case of 24 bottles. They sell 3 for $13.00. What i...

A: Given, The supermarket's cola products cost $16.20 per case of 24 bottles. Therefore, the cost of pe...

Q: Determine the coefficients a, b, c and d so that the curve y = ax³ + bx² + cx + d be tangent to the ...

A:

Q: Find a formula for the nth term of the sequence:

A: We have to find the formula for nth term of the sequence: 51,82,116,1424,17120...... Here we have to...

Q: Calculate the eight approximation to the volume of a solid obtained by rotating the graph around the...

A: Given that, the function is y=cosx and the interval is 0,π8. It is known that, the volume of the sol...

Q: A rectangle is bounded by the x-axis and a parabola defined by y= 4-x. Refer to the figure below. No...

A: Given, a rectangle is bounded by the x-axis and a parabola defined by y=4-x2and area of the rectangl...

Q: Find the points on the graph of the function that are closest to the given point. f(x) = x ^ 2 - 9 (...

A: Given function fx=x2-9 The given point is (0,-1) ,To find the closest point on the graph First consi...

Q: In(t) Let y = %3D (a) ( Find y' using the quotient rule. (b) Rewrite y as a product, then find y' us...

A: Given that y=lntt3. (a) Compute the derivative using quotient rule. y'=lntt3'=t3lnt'-lntt3't32=t3t-3...

Q: Sketch the space curve r(t) = −ti + 4tj + 3tk and find its length over the given interval [0, 1] .

A: Given space curve is rt=-ti+4tj+3tk. Sketch the above space curve as shown below.

Q: A potato is launched vertically upward with an initial velocity of 116 feet per second from a potato...

A: Your question has 6 subpart we will solve first three subpart. Please resubmit question with subpart...

Q: Prove that the second equality is true and find the values of C and δ depending on A, B, ω*.

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Q: Find the curvature K of the curve at the point P. r(t) = 1/2t2i + tj + 1/3t3k, P (1/2, 1, 1/3)

A: The curvature is given by kt=r't×r''tr't3. Given that rt=12t2i+t j+13t3k. Obtain r't as follows. r't...

Q: Match the equation 4x2 + y2 = 4 with its graph. [The graphs are labeled (a), (b), (c), (d), (e), and...

A: Click to see the answer

Q: Assume that f is a one-to-one function. (a) If f(4) = 14, find f −1(14). f −1(14) = (b) If f −1(46)...

A: Suppose a function y=fx is defined on its domain. Then we always can find y such that x=f-1y. If f i...

Q: In problems 11 and 12 determine by inspection at least two solutions of the given initial-value prob...

A: (11) Given differential equation is y'=3y23 and y0=0. Given differential equation can be written as:...

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the pa...

A: x=et , y=t-lnt2, t=1 Differentiating with respect to t, we get dxdt=detdt & dydt=dt-lnt2dt⇒dx...

Q: Prove that the vector T′(t) is 0 for an object moving in a straight line.

A: Here an object moving in a straight line. The path of the object can be given as follows. rt=xti+yti...

Q: Write the equation for a cosecant function satisfying the given conditions period: 3π; range: (- ∞, ...

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Q: How to solve this question?

A: Given that the water flow from the bottom of a storage tank at a rate, rt=350-5t, 0≤t≤80

Q: Unit tangent vectors Find the unit tangent vectors for the following parameterized curves.a. r(t) = ...

A: a. Given vector is rt=t2,4t,4lnt. Compute the derivative. r't=t2,4t,4lnt'=2t,4,4tr't=2t2+42+4t2=4t2+...

Q: Given the function f and point a below, complete parts (a)-(c). f(x) = 5x, x20, a = 3 %3D

A: fx=5x2, x≥0, a=3 First let us find the inverse function: Let us consider, y=5x2 Now to find invers...

Q: Find the area of the surface generated by revolving the curve x = 2 cos θ, y = 2 sin θ, 0 ≤ ...

A: If x=f(t), y=f(t) then surface area is, About x axis: S=2π∫abydxdt2+dydt2dt About y axis: S=2π∫abxdx...

Q: dy/dx=x3cosy

A: Click to see the answer

Q: Consider the function given by ?(?) = 18x^2 ...

A: f(x)=18x2(2x-9)2The x- intercept of f(x) is for which value of x , f(x) will be zero.