Find g'(4) given that ƒ(4) = 7, ƒ'(4) = −1, and g(x) = √xƒ(x). Answer:

Q: Graph the solution of the following system. x-3y 2-9 2x+y s 4 C Use the graphing tool to graph the…

A: We can solve the given system of  inequalities by using the graphical method.

Q: 5. Graph a function that has the following properties. lim X→-1+ a. C. lim X→→∞ f(x) = ∞0 f(x) = 0…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Let f(t) = (t² + 6t + 6) (2t² + 3). Find ƒ'(t). 0 fi(t) Find f¹(5). ƒ' (5) =

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Q: Mary Stahley invested $4500 in a 24-month certificate of deposit (CD) that earned 9.5% annual simple…

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Q: Find the specified Higher-Order Derivatives d'y 46) y = 2t³ -3t³ +5t+12 find dt³ 47) f(x) =tan(2x)…

A: 46) y=2t5-3t3+5t+12 47) f(x)=tan(2x) 48) y=(2x-3) /(x+4). Repost the next question.

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Q: Find af ax and Əf ay for the following

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Q: If y = -1e2t, evaluate y" - 3y' - 4y then simplify. -3e2t e2t -e2t 3e2t

A: y=-12e2td dt(eat)=eat×a

Q: Find the volume of the solid generated by revolving the region bounded by y=3x^2, y=0, and x=3 about…

A: Here we have to find the volume.

Q: Evaluate the following integral using trigonometric substitution. 2 36-x² X dx

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Q: Solve the given equation or inequality graphically. (a) 8x²-x²-x2 + 3x + 6 (Enter you

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Q: Find g'(3) given that f(3) = -4, f'(3) = 5, and g(x) = f(x). X Answer:

A: Given query is to find indicated.

Q: An investor has $80,000 to invest in a CD and a mutual fund. The CD yields 7% and the mutual fund…

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Q: A company estimates that it will sell N(X) units of a product after spending $x thousand on…

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Q: Show with induction that 8n-3n is dividable by 5 for all n ≥ 0

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Q: Set up, but do not evaluate, an integral y- 8x-x2, y = x; about x - 11 7) dx

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Q: Let f(x) = (3x − 4) (x² – 5). Find all the values of x for which f'(x) = 0. X Present your answer as…

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Q: Question 12 Assume that oil spilled from a ruptured tanker spreads in a circular pattern whose…

A: We will find the required.

Q: Two chemicals A and B are combined to form a chemical C. The rate, or velocity, of the reaction is…

A: Given that there are 100g of A and 50 g of B. And to for each gram of C 2 g of A and 1 g of B is…

Q: write the equation for a natural exponential function that has been reflected and stretched…

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Q: Use the Product Rule to compute the derivative: d & ((t² + 1) (t + 9)) |t=-: dt -2= ←

A: Please see the below picture for detailed solution.

Q: Let f(x) be the function 8x² – 11x + 7. Then the difference quotient - can be simplified to ah + b…

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Q: Let f(x) = √2x. Find ƒ'(x). ƒ'(x) Find f¹(3). ƒ' (3) = =

A: Given: f(x) = √(2x)

Q: If f(x) = x²/5 g(x), where g(1) = 5 and g'(1) = 6, find f(1).

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Q: Let f and g be functions that satisfy f'(2) = -8 and g'(2) = 13. Find h' (2) for each function /…

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Q: Determine the area, in square units, bounded above by f(x)=x2+2x+1and g(x)=x+3 and bounded below by…

A: Given query is to find the area bounded by the curve.

Q: Let f(x) = 5x8 5x5 - 7x³ + 4x, find f'(x). Answer: Find f'(2). Answer:

A: Given query is to find indicated derivative.

Q: Fifty percent of a company's total output consists of baseballs, 20% consists of softballs, and 5%…

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Q: Suppose f(x) = 5x² + C, where C is any real number. Then the expression can be written in the form…

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Q: State the quadrant in which lies if sec 0 > 0 and csc 0 < 0. O Quadrant II O Quadrant IV O Quadrant…

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Q: ) Consider the following limit 70 - 7x - x² - 10x| | lim x →7 |x² 100 - 51 We can simplify this…

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Q: 7. Find d²y dx² from y = √√x- =√x-²/2

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Q: Find lim x→a+ 0 ½ O-1 01 0 0 1- cos²x sec x

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Q: Find the derivative of the function f(z), below. It may be to your advantage to simplify first. 27…

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Q: How many centimeters are contained in 12.5 inches?.

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Q: x³+2x²23x - 60; (x + 4)

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

Q: d dx 4 X 5t sin t dt:

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Q: For winning first prize in an essay contest, you are offered a choice of prizes: A. a single…

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Q: Using the trigonometric substitution technique, the integral tan¹0d0 sece S f sin sin 40d0 cose…

A: F=∫x4dx(1+x2)321+tan2x=sec2xd dx(tanx)=sec2x

Q: Let f(x, y) =. Use the Linear Approximation at an appropriate point (a, b) to estimate ƒ (4.04,…

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Q: Question 20 The point where the curve changes its concavity is called O critical point point of…

A: The point where the curve changes its concavity is called _____

Q: Differentiate: Y'(u) = Y(u) = (u ? tu 3 thuy +

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Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: 2√2 S 0 2 2 |16-x² dx

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Q: 37. x² - y² + z² - 4x = 2z = 0

A: To reduce the equation to one of the standard forms, we will complete the square for the terms in x…

Q: Evaluate lim (x,y) →(0,0) x³ +35x² + 7y²2 5x² + y² 11

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Q: Solve the linear programming problem. Maximize and minimize z = 2x+3y Subject to 2x+y ≥ 30 x + 2y 2…

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Q: Let Find: f'(x) = f'(8π): - f(x) = 9 tan(x) +7 sec(x)

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Q: The following table records some values of the differentiable functions f and g, as well as their…

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Q: Så ta de dx X ) n = 10

A: We have to find out the area of using the trapezoidal rule.