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Q: At a certain time of day, the angle of elevation of the Sun is 40°. To the nearest foot, find the he...

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Q: Write an equation for the function illustrated in the graph below.

A: The given function is a piecewise function. It has different functions in different domains. The do...

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...

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A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv Cha...

Q: Find an equation of the tangent line to the curve at the point (1, 1). y=ln(xe^x^9) (e is raised to...

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Q: Consider the two surfaces z=x +y°, x+y+ l0z = 175. Find the cosine of the angle between the gradient...

A: Given surfaces are f(x,y,z)=x2+y2-zg(x,y,z)=x+y+10z-175 The gradient vectors to the surface are ∇f...

Q: A kite 100ft above the ground moves horizontally at a speed of 8ft/s. At what rate is the angle betw...

A: Given Kite flies at the height of 100ft horizontal speed of kite is 8ft/s To find the rate of angle...

Q: Use Newton's method to approximate 9. Use x, =1.5 as the initial value and correct the approximated ...

A: let say x is a root of 95 , hencex = 95x5 = 9x5 - 9 = f(x)f(x) will approach zero, When x = 95

Q: Calculus Question

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

Q: Find the area of the unbounded shaded region given below. 4 x2 + 1 -10 -5 5 10 2.

A: To Determine: find the area of the unbounded shaded region given below. Given: we have y=4x2+1 Expla...

Q: How much money should you put in asavings account now that earns 3.0% a year compoundedweekly if you...

A: Given: Final amount= $80,000. time period t= 15 years. Interest applied weekly.(n=52)

Q: (a)(2e−1,2e) (b)(e−1,2e−1) (c)((e−1)/2,e−1) (d)(0,(e−1)/2)

A: Given: f:12,1→R It is a differentiable function such that ...

Q: How to solve this question?

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Q: The admission fee at an amusement park is $1.50 for children and $4.00 for adults. On a certain day,...

A: Consider x and y as the number of children and adults who entered the park. On a certain day 2200 pe...

Q: A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.1 m/s. Find the rate a...

A: Given Data: The height of the man is: h=1.9 m The height of the lamppost is: H=5 m The increasing ra...

Q: dy/dx-y=x

A: dy/dx-y=x We need to find the general solution of the given differential equation.

Q: find the volumes of the solids generated byrevolving the regions about the given axes. If you think ...

A: Consider the following graph:

Q: Find the general solutions to the differential equations: y" + 5y' - 6y = 0 y" + 6y' - 9y = 0 ...

A: We have to find general solution and particular solution of given differential equation according to...

Q: Evaluate the iterated integral

A: Given, ∫12∫02z∫0ln x xe-y dy dx dz

Q: Describe how to find the inverse of a one-to-one function.

A: we have to describe how to find the inverse of a one-to-one function. let a function be y=f(x),then ...

Q: A 5-m ladder leans against a wall. Assume the bottom slides away from the wall at a rate of 0.6 m/s....

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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: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the...

A: Given: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached...

Q: ng to his calculations reds of dollars) t yea Ets 8)

A: Here P(t)=t3-16t2+25t+50 , (0≤t≤8) The inflection point is the point where F''(t)=0 Then at ...

Q: Find the slope of the tangent line to the curve - 6y3 – 42?y? = 2 at the point (1, – 1)

A: We have to find slope of the tangent line to the curve -6y3-4x2y2=2 at the point 1,-1

Q: I need help with 9

A: We write the integral using two parts ∫04f(x)dx=∫02f(x)dx+∫24f(x)dx

Q: A hot air balloon rising vertically is tracked by an observer located 3 miles from the lift-off poin...

A: dθdt=0.1 rad/min In ∆ABC tanθ=h3⇒h=3tanθ⇒dhdt=3sec2θ·dθdt⇒dhdt=31+tan2θ·dθdt⇒dhdt=31+h32·dθdt⇒dhdt=3...

Q: Find the points on the curve where the tangent is horizontal or vertical. If you have a graphing dev...

A: Given, x =10-t2 y = t3-27t

Q: Find the dimensions that give the largest area for the rectangle shown in the figure. Its base is on...

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Q: For each sequence given below, find a closed formula for an, the nth term of the sequence (assume th...

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Q: The set of all points in a plane that are equidistant from a fixed point is a/an_______ . The fixed ...

A: we know that the set of all points in a plane that are equidistant from a fixed point is a circumfer...

Q: Sketch the graph of a function having the following properties: 1) The domain is all real numbers. 2...

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Q: the left and right page of an open bookare two consecutive intergers whose sum is 253?

A: let the page numbers are left page n and right page is (n+1)

Q: Find the distance between the two points (2, 0.5), (7, 1.2) in polar coordinates.

A: Here, we have given two points in the cartesian coordinate system (x, y). So, r1=x2+y2=22+0.52=4+14...

Q: Find the inverse of f(x) = x3 + 1.

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Q: Use the rules of differentiation to find the derivative of the function y=x18

A: Given Data : Function y=x18 To Find : Derivative of y=x18 Apply the Power rule of Differentiat...

Q: The following limit represents the derivative of a function, f, at some number a: lim h->0 sin(1...

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Q: 3. Evaluate derivatives of following. Tell me WHICH RULE vou are using and CLEARLY SHOW your use of ...

A: a). Given function y=30x9-20tan(x)+x5+10ex+ln(4000) Simplify the function y, y=30x-9-20tan(x)+x5+10e...

Q: 1) Find the derivative of the function. Simplify if possible.? = sin ? cot ? 2) Evaluate the limit...

A: 1) We have to find derivative of y=sinxcotx It can simplify it as: y=sinx·cosxsinxy=cosx Differentia...

Q: Find derivative of function. y= sin square root of 1+x^2

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Q: Find the equation of the line that is tangent to this cardioid at the point (–112, 15) answer in slo...

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Q: The function f(x) = x3 + 2 is one-to-one. For the function,a. Find an equation for f -1(x), the inve...

A: given: the function f(x)=x3+2 is one-to-one function as we know that if we have a function y=f(x) t...