Find the directional derivative of f at the point P in the direction of a. a=i-j NOTE: Enter the exact answer. Duf f(x, y) = 3x³ - 3y³; P(2,0); =

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Q: Find the derivative of: — 2 sin² (9x5). Hint: sin²(x) = [sin(x)]²...so use the chain rule (twice!).

A: To find out the derivative of the function. as per the company rules we can answer only the first…

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Q: 2. Find the critical values of f(x) = x² +2 Find the open intervals on which f(x) = x¹ +8x³ is…

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Q: Indicate the degree and determine the solution of the following equations. Homogeneous DE 1. 2(2x²…

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Q: 2y X in the direction of (1, 2). Then, Suppose f(x, y) (b) ▼ ƒ(6, π) = sin 2y (a) ▼ ƒ (x, y) = cos(…

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Q: Consider the following. y² – x² = 384; (8, 8√√7) Find the slope m of the line tangent to the graph…

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Q: FIND F'(x) for F(x) = -7 w/out USING the √5x³-20x quotient TULE

A: Given query is to find the derivative of the function.

Q: If f(x)=−1x^3+6e^x then f′(x)=  and f′(3)=  If f(x)=−1ln(x)+2/x then f′(x)= and f′(5)=

A: Topic- derivative of a function We are given, Iff(x)=−1x3+6exf(x)=−ln(x)+2xwe know…

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Q: Evaluate the limit lim x →∞ 5x² + 3x 7x4 + 2x² + 10

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Q: PLOT THE GRAPH FOR THE GIVEN CURVES AND CONDITIONS BELOW Need to find out the differential equation…

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Q: Find the area of the shaded region. f(x) = x² - 4x³ + 12x². g(x) = - 3x +90 The area is (Type an…

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Q: If f(x) = f'(x) = ƒ' (3) = 6x + 7 2x+6' find:

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Q: Use the Fundamental Counting Principle to solve:An ice cream store sells two drinks sodas or milk…

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Q: 5. Bernoulli's Equations b. 2x³y' = y(y² + 3x²)

A: 2x3y' =yy2+3x2

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Q: Suppose that f1x2 = 4x - 1 and g1x2 = - 2x + 5.(a) Solve f1x2 = 0. (b) Solve f1x2 7 0.(c) Solve f1x2…

A: Note:- Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the…

Q: Sorry forgot to specify, find the zeros

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Q: If the slope m of the graph of a linear function is ,the function is increasing over its domain.

A: If the slope m of the graph of a linear function is _______, the function is increasing over its…

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Q: Use the Fundamental Counting Principle to solve:How many different four-letter radio station call…

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Q: f(x) = b сos(x) - 2 3x² - ax + b 2x - 4a { x ≤ 1 ax+b 1 2

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Q: 18. Find the limit. lim X-8 lim X→8 6 X-8 X-8 (Simplify your answer.)

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Q: Evaluate the expression.

A: Given: The given expression is: C15·C27C312 Formula Used: Crn = n!r!(n-r)!

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Q: If f(x) = 4x² – 5x – 2, find f(x + h) – f(x) ,h + 0 h and simplify.

A: Given expression:- f(x)=4x2-5x-2

Q: (Question-Solution-Final Answer-Conclusion format) B. Generate differential equation by elimination…

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Q: Please have a systematic way of solution (Question-Solution-Final Answer-Conclusion format) E.…

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Q: Write a word problem that can be solved by evaluating 7P3.

A: Given: 7P3. Formula Used: Prn = n!(n-r)!

Q: Phone Charges The monthly cost C, in dollars, for callsfrom the United States to Japan on a certain…

A: Since you have posted a question with multiple sub_parts ,we will solve first three sub parts for…

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Q: Use the formula for nCr to evaluate the expression 7C7.

A: Given: The given expression: 7C7. Formula Used: Crn = n!r!(n-1)!

Q: For the equation 3x2 - 4y = 12, find the intercepts andcheck for symmetry.

A: Given data:- The given equation,   3x2-4y=12

Q: dx xinx 6. S

A: Given integral ∫dxx ln x Formula ∫1xdx= ln x + C

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