Let f(x) = 6x²(x – 1) + 10.

Q: 5. f(x) = [(x+ 5)5 – 1]ª 6. f(x) = cot (6x³ + 5) 7. f(x) = sin(e³*)

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Q: For the graph shown, identify a) the point(s) of inflection and b) the intervals where the function ...

A: Given query is to find inflection point and interval where concave up and down.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

A: line passing through a point (-3, 3, 3)and parallel tox-12=y+1-4=z-51vector v→=(2, -4, 1)x=x1+atx=-3...

Q: S tan-1(bx) dx

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Q: Question 4 Find the points on the curve y = tan æ, where the 2 2 tangent is parallel to the line y 7...

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Q: 1. Integrating factors found by inspection: (xy' +xy }dx+ (x²y² – 2dy = 0

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Q: 4. In the differential equation (y -x -4x-1)dy + 2y(x+ y+2)dx = 0, MN

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Q: A heguard needs to rope off a rectangular swimming area in front of Long Lake Beach, using 800 yd of...

A: Question- A lifeguard needs to rope off a rectangular swimming area in front of Long Lake Beach, usi...

Q: What is the largest possible product you can form from two non-negative numbers whose sum is 56? The...

A: To find: largest possible product you can form from two non-negative numbers whose sum is 56

Q: (-5t -21 (i) Find the domain of f (t). (ii) Find the values of A and B if the function is continuous...

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Q: (а) 1- cos 4x lim x? x-0 5-х (b) lim- 45 Vx-1-/2x-6 312 -t- 2 lim 1² -1 (с)

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Q: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2), А-і-7...

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Q: п — 3 - an

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Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with ...

A: This question is based on vectors.

Q: find dy/dx for the function

A: Given,            yx=x232x-x2To find : dydx for the function.

Q: n!x" For what value of x the infinite series converges? n" n=1 O A. x>e. O B. None of the choices in...

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Q: Given vector u = (3, 1) and v (1,3) , determine the value of 2u – 3v in component form.

A: Use component wise addition and multiplication for required answer. 

Q: State the trigonometric substitution you would use to find the indefinite integral. Do not integrate...

A: We can solve this as follows:

Q: FIND THE INTEGRAL USING U-SUBSHI TUTION Hcochx cothtx dx Slebeh 2

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Q: Find the absolute maximum and minimum values of each function over the indicated interval, and indic...

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

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Q: The graph of the polynomial function K(x) is shown below. a) Write a possible equation for K(x) in f...

A: Given: The graph of the polynomial K(x) is shown as:

Q: A. Evaluate the following integrals. (sec2 0 dx A. tan 0

A: The integration of the integral is sec2(theta) /tan(theta).

Q: 1. The exact differential d(xy)= xdy+ ydx, what is the d( = 4x' y'dy+2xyʻdx. 2. The exact differenti...

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Q: tan (x), cos(x), or sin (x) input atan (x), acos (x) or asin (x). DO NOT convert answers to decimal ...

A: find integration

Q: Consider the following. u = (1, -9, -7), v = (6, -2, 0) (a) Find the projection of u onto v. (b) Fin...

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Q: 6. Compute f '(x) if Ax) = , 1 1 A) 3x*/³ (x – 1)*/ 4/3 1 B) 3x2/ (x – 1)*/3 1 C) *(r – 1)*/3 1 D) 3...

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Q: 3. 5 (xº - + 2ex) dx 2ех

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Q: 3. Consider the function f(r, y) = 'y - 4y at the point P(2,-1). (a) Find the directional derivative...

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Q: (b) Find an exponential model, B(t), for the population of Berry t years after 2000. Show your work ...

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Q: Set up a double integral to find the volume of the solid region bounded by the graphs of the equatio...

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Q: Sx sinh 2x dx

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Q: 6. Use the cashier algorithm to solve these subtraction problems: a. 47- 29 8+7947 75-34-34+34ニ75 c....

A: "Since you have asked multiple questions, we will solve the 1st question for you. If you want any sp...

Q: The correct value of -dr is equal to 3-x O A. О В. - 23 O C. Since the integral converges to 2/3, no...

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Q: 2 S- /x² +y? and z= /x? +y? volume V = | T Enter an integer or a fully reduced fraction such as 1 , ...

A: Volume , V = ∫∫∫dV = ∫∫∫R dz dy dx

Q: 2. Show that, in the region D: 0 < x<1, 0 <y< x², the following double integral 1 dA =- In(2) x5 + 1...

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Q: Let R(x), C(x), and P(x) be, respectively, the revenue, cost, and profit, in dollars, from the produ...

A: To Find: R(x), C(x), P(x)

Q: Suppose the product of x and y is 49 and both x and y are positive. What is the minimum possible sum...

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Q: 5. f(x) = [(x + 5)5 – 1]* %3D

A: Questiopn 5,Given,           fx=x+55-14To find : The derivative using the chain rule.

Q: A cylindrical can is to be made to hold 1.5 liters of oil. Find the dimensions that will minimize th...

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Q: (a) lim f(x) X-2" (b) lim f (x) (c) lim f (x)

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Q: Determine the intervals on which f is increasing or decreasing, assuming that given figure is the gr...

A: Given query is to find the interval of increasing and decreasing.

Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

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Q: 8. Simplify. Show your work. (V27 + V12 – V32 - V18)(V12 + v3 – V50 – V32)

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Q: 8. lim xcot3x

A: Given; limx→0xcot3x So, We can also write as; limx→0xcot3x=limx→0x1cot3x=limx→0xtan3x   ...We know: ...

Q: Given that a 512 · x2 . sin(8 · x) dx = r – 2, - calculate the value of a. a = (No answer given) +

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Q: The height (in feet) of a stone thrown upward on another planet is given by the function f (t) = -4t...

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Q: 4. Find the equation of the tangent plane at the point (-2, 1, -3) to the ellipsoid 22 + y? + = 3 4

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Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 22j as ...

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Q: (c) Determine the definiteness of the quadratic form q(x) = x} + 2V6x,Xz + 2x3

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