Choose the correct answer by using the Product rule of derivative. d dx - (x4.x7) is equal to Derivative (Hint: Look at the note of section 2.4, Example 1 in page 4 and use product rule) O 11 x 10 O 7x10 O 10x¹¹ O 4x7

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A: We can solve the answer as below.

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A: Taylor series ;             In the more compact sigma notation, this can be written as…

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A: Given curves are y=3x2 and y=x2+4.

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Q: 5) Evaluate the given expression without the aid of a calculator tan[arcsin( +1 x+ 6 --)]

A: We have to evaluate the given expression without the aid of a calculator.

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Q: a. Which of the following are functions? Justify your answer. f(x) 5+ 4- 3- -4-3-2-1 O -2- -3+ -4-…

A: Let's find function or not.

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Q: t².edt J (P)

A: Solve the following

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A: We have to write the polynomial in factor form from the given graph of polynomial

Q: 11) Find the first derivative of y = (lnx) 4

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Q: 8. Find the local maximum and minimum values and saddle points of the function f(x,y)=2x + 4y +3x²…

A: This is a problem related to maxima and minima. Please follow the procedure given below.

Q: Solve the initial-value problem for x as a function of t . (2t³ − 2t² + t − 1) 12, x(2) = 0 dx dt =

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Q: Find the gradient of the function at the given point. g(x, y) = 9xex/x, (17, 0) Vg(17, 0) = (No…

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A: Let hx=x+5To find the value of the function given below.h4n+9=?where n≥-72

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A: Given f(x, y) = 5x3 − 14xy + y3 Fomulae: ddx(xn)=nxn-1 and ddx(x)=1 By differentiating it with…

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A: Given: The radioactive substance cesium-137 has a half-life of 30 years. The amount A(t) (in grams)…

Q: - y Sinx + Cosh zy=0 -Coshzy di Sinx = - dx ·coshzy dx dy Sinx+ coshzy dx =0 ليه Sinx = -co + dx…

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A: If 0<x-8<δ, then -4x+32<ε

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Q: H.W Graph the functions: ا رسم الدوال 1- y = Sin = X 2- y = 3 tanX 3- y = 3 + Sinx 4- y = cot 3 X 5…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: (c) (i) Show that the equation (3x²y²-10xy²)dx + (2x³y-10x²y)dy = 0 is an exact equation. (ii) Then,…

A: We need to show that the given differential equation is exact and also we need to find out the…

Q: Evaluate using Reduction Formula 1. [ cos7x dx cos" x dx dx = = cos"-¹x sinx + -"-1 [cos"-²x 12 1…

A: ∫cos7x dx

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A: Expand the given summation

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A: We know that the directional derivative of a function f(x, y) at a point P in the direction of a…

Q: 2. Solve the DE: -+secx(y-2sec³x+2 sec² x tan x) + y cotx=0 dx

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A: Let's solve given differential equation.

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A: Here we have to find the function.

Q: (b) 3x + 11 S 2 -dr x²-x-6

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