Calculus Question

Q: For x E [-13, 11] the function f is defined by = x°(x+1)² On which two intervals is the function inc...

A: We find the critical points by solving f'(x)=0f(x)=x3(x+1)2 f'(x)=3x2(x+1)2+2x3(x+1)0=3x2(x+1)2+2x3(...

Q: How am I wrong?

A: Jackson earn 2% /year compounded monthly. Here we have to find the deposit in his saving account at ...

Q: What is the value of tan theta, if sec theta = -3/2, and pi/6<theta<pi?

A: Here given  sec θ = -3/2 where π/6 <  θ < π 1/cos θ  = -3/2 cosθ = -2/3 Cos θ is negative in s...

Q: I dont understand how to solve this Part A) Use an Addition or Subtraction Formula to simplify the e...

A: (a) Given: The trigonometric equation is, sinθcos3θ+cosθsin3θ=0

Q: Express the given model in terms of the base e. (Round your answers to three decimal places.) (a) f(...

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Q: Calculus Question

A: ∫10x·sec(5x2)tan(5x2)dxlet u=sec(5x2)du=sec(5x2)tan(5x2)·10x  dxdx=dusec(5x2)tan(5x2)·10x Replace dx...

Q: a) the student has made multiple errors. Find at least three errors the student has made B) write do...

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Q: Consider the function f(x) = 2 – 2x2, - 3 < x < 1. %3D The absolute maximum value is and this occurs...

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Q: Question attached to image

A: Given :           cosx1x25x+14

Q: 1. fxv2x+ ldx ans : 능(2x +1)-1(2x + 1) +c 2. Cilt- 4dt

A: Since you have asked multiple questions in single request  so we  will be answering only first quest...

Q: Given the function g(x) = 8x – 84x? + 240x, find the first derivative, g'(x). = (x),6 Notice that g'...

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Q: Let d1 and d2 be the distances from the point (x, y) to the points (−1, 0) and (1, 0), respectively,...

A: The distance between two points x1,y1 and x2,y2 is defined by the formula d=x2-x12+y2-y12. Given tha...

Q: Estimate the area under the graph of f(x)=ln(x) over the interval [1,2] using five approximating rec...

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Q: Please help, answer is wrong.

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Q: Solve the following equations for a value of 0 in the first quadrant (if possible) (а) 5sin@ (b) 6сo...

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Q: Consider the solid obtained by rotating the region bounded by the given curves about the x-axis.y = ...

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Q: Only answer 7a please

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Q: What is the supremum of the set consisting the following real numbers: 0.1222…,0.2122…,0.22122…,0.22...

A: we know that supremum of A is the least upper bound of the set A, all other upper bounds are larger ...

Q: v(t) = 3 sin(t) – 4 cos(t); s(0) = ( - s(t) =

A: to find the value of s(t)

Q: Let y= fcx)=3x^+ax. Deternmine the follouwing: %3D a) Ail critical valus of x b) All relative maxima...

A: The function is y=f(x)=3x2+2x3. (a) The critical points of the function f(x) are the points where th...

Q: Please help me with #6

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Q: I got stuck in this problem. Can you show me how you work it ? Find the general solution of the diff...

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Q: need help

A: here the given , ζ4=∑n=1∞1n4= π490      .............................(1) now we have to find part (a...

Q: A box (with no top) is to be constructed from a piece of cardboard with sides of length A and B by c...

A: If the given figure, 'h' is the height of the box The length of the box is A-2h Width of the box is ...

Q: A jar contains 100 mL of a certain substance which, when heated to tt degrees Celsius contains E(t) ...

A: Given: Et=2.3t2-4.5δt=0.2t=60 To determine: The value of dEdt and the possible error in the calculat...

Q: If  m∠1=119m∠1=119 , what is the value of x?

A: Consider the provided graph, If  ∠1=119 , what is the value of x.

Q: Suppose you deposit $6000 at 9% interest compounded continuously. Find the average value of your acc...

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Q: i need the answer and the steps as well please. i would like to know how you got the answer you got....

A: The given expression is sin11π15cosπ60+cos11π15sinπ60   Identity used: sina+b=sinacosb+cosasinb  

Q: Find the slope of the curve at the given point x? + y? = 1; (6, 2)

A: Differentiate both sides of the given equation with respect to x as shown below: ddxx2+y2=ddx1ddxx2+...

Q: Below is the graph of y = f(x).

A: The integral ∫08f(x)dx represents the area of the region under the graph of f(x) from 0 to 8. To fin...

Q: The angle below has a measure of 5.3 radians. 2 5.3 rad, A-3-2-1 -2 -3 (x,y) Determine the exact coo...

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Q: Calculus Question

A: Given graph of function is

Q: Use the power rule to expand the logarithmic expression: log5 74

A: Given that log5 74 We need to expand the logarithmic expression using power rule.

Q: Find the area bounded by the graphs of the indicated equations. Compute answers to three decimal pla...

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Q: CLX)= 300 + lox + 0.03x Deter mine the following: ) The expression tor the arerage cost per unit cx)...

A: we have the cost function C(x)=300+10x+0.03x2

Q: If a cup of coffee has temperature 89°C in a room where the ambient air temperature is 25°C, then, a...

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Q: dy = -4y + 2e* ,y(0) = 0 dx differential What is the special solution to the equation? A) y =e* +e-*...

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Q: Square cuts of the same size are cut from a flat rectangular piece of cardboard. The remaining cardb...

A: the figure formed after cutting the square from the rectangle we get 

Q: Find the general solution of the differential equation ? y" - xy' + y = 0

A: Consider the given equation. y''-xy'+y=0 Let's the solution of the equation is y=∑n=0∞anx-an. Find t...

Q: Evaluate the following

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Q: Consider the angle shown below that has a radian measure of 0. A circle with a radius of 2.7 cm is c...

A: The terminal point horizontal distance,x  = 1.68cmThe radius of the circle,r                        ...

Q: let y= fix)= 3x3–6.2x* +2.8x-4.3 (Use grapning Calculator and appropriate wndaw

A: Given that  f(x)=3x3-6.2x2+2.8x-4.3 To find the critical points Find the derivative of f(x) f'(x)=9x...