1. Find the derivative for the following function. Simplify and leave answers with positive integer exponents. f(x) = 6x4 – 7x + 10 3 + Vx x4

Q: Activity 1: Determine the number at which the function 1 is not satisfied. x2+x-6 if x # -3 1. f(x) ...

A: See the details solution in below

Q: Activity 4: Show necessary solutions in your answer sheet. A. Find the intervals on which each funct...

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Q: ce the first five terms of the sequence: ? + 2n – n}+ ermine whether the sequence converges, and if ...

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Q: Find the projection of ū = (2, -3, 1) onto v = = (-3, 0, 1) %3D 3 0, А. B. (3.0. -1) В.

A: u→ =2, -3, 1v→ =-3, 0, 1v→ =(-3)2+02 +12       =9+1|v→| =10    u→  · v→ =2, -3, 1·-3, 0, 1u→  · v→ =...

Q: sin³ydy 1+cosy

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Q: Question 15 Evaluate: J(3x +1)<dx = Blank 1 (use small letter, no space) Blank 1 Add your answer

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Q: Determine the Laplace Transform of the given integral equation. A. f (t) = S sin(t - 7) cos(7)dr

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Q: Obtain a differential equation by eliminating the arbitrary constant m of: y=m A (V)² + xy' +y = 0 B...

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Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

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Q: Given vector function: 7(t) = (sin t, cos t, t) Find the following: (show complete solution). a. Com...

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Q: B. LIMITS Evaluate the following limits: EI 191 lim g (y) y+-2 y° +5 if y < -2 3 – 3y if y 2 -2 wher...

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Q: Classify the differential equation: h_p +sec x V dæ4 O Fourth order, third degree, linear ordinary d...

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Q: Find dy/dx of sin(x + y) = xy^2 − 2x^3

A: Differentiating using chain rule of differentiation

Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+5y+7z=46. Roun...

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Q: х — 2 x2 Find the following limits. lim f(x) =L I-2- lim f(x) = 1-2+ lim f(x) =

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Q: Use the difference an+1 – an to show that the sequence - {n – 7"}, +00 is strictly increasing or str...

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Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: y"-7y'=(2x-1)sin 2x

A: Differential equation 

Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

A: A detailed solution is given below.

Q: ( E)i+(G + log(vF –1 – 1) + (5ť² +1 – log t)k |3 – V7 – t2| t2 – t – 1 T(t) =

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Q: y'-5y= x'e* – xe* ito

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Q: Eliminate the arbitrary constant in the equatio y = cz +c +1 Oy= ry'+ (y') +1 O y =y'+(y')² +1 O'y=y...

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Q: J(1+ sin x) °cos x de A x+ sin x + (sin x)4 +C (1+ sin x)*+C B C sin x + ( sin x)4 -+C D 1+ sin x)*+...

A: Given that,

Q: 9. 1+x

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Q: |(3x + 1)2dx = Blank 1 (use small letter, no space) Evaluate: Blank 1 Add your answer

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Q: 2 5. lim x→3 \x – 1 х2 — 1, 2 |

A: Follow the procedure given below. 

Q: Determine the solution of an initial value problem; 2e cos2x dx + (e'sin2x+3y sec?y2) dy=0 y =0 2e's...

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Q: (Inºx– 3lnx) +dx (A Inx B Inºx © Intx D In x- 3lnx E In x- 3 (F) None

A: The integral is  ∫ln6x-3lnx4xdx

Q: I Eliminate the arbitrary constants y = C,e -2x COs 2x + ce <-2% SIn 3X

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Q: What is the value of (3+2i)³ + (3- 2i)6

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Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: (x +2x+3)(5-x) 10. g(x)= 3x+2

A: We will use u/v formula for derivative to find the required result.

Q: 5. Find the maximum area of an isosceles triangle whose perimeter is 18 inches.

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Q: A. f (t) = So sin(t - T) cos(7)dT

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

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Q: Solve using variation of parameters or reduction of order (D² – 3D + 2)y = (1+e²x)¯2

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Q: Evaluate the following integrals. sin" r 0. cos a kle

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Q: The coefficient of sec(x) when (tan(x) – sec(x))²dx was evaluated is Blank 1 (use number, no space)

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Q: Find the equation of the tangent f (x) = 4x – 8a at a = 16.

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Q: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

A: Jack buys calculators for $6.00 each, envelopes for $.50 each and pens for $1.50 each. He spends a t...

Q: In 3 [te' i + e'j + In tk] dt 1

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Q: Mesin(2x) dx = e$in(2X) + C then the M is equal to Blank 1 If

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Q: To evaluate / (3x2+ 1) In x dx using integration by parts, it is best to let A u= 3x2; dv= In x dx B...

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Q: Let f (x) = V. Find the smallest number 6 such that if |a- 8| <8 then |f(x) - 2| < 0.1. Round answer...

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Q: Use the definition of the derivative (long method/ increment method) to find the derivative of the f...

A: We will find the derivatives. 

Q: 4. If x - xy + y = 1, find y' 3x2 a.): b.) 1-3y? c.) x-3y2 d.) +3y?

A: Using chain rule of differentiation

Q: 1. d'y_dy - 42 + y =r²-2t +3 dr dt 2. y"-7y'=(2x-1)sin 2x 3. y'-5y=xe" – xe*

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Q: Names: Verify Green's theorem for the vector field F(x, y, z) = xy +x'y J, where D is the reeion in ...

A: Use the statement of green's theorem for a simple closed curve.

Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Here we have to find the true or false statements

Q: 1. Find the first derivative of y with respect to x (y') of the given functi 1. x³y-xy² +x² +y? = 0 ...

A: To find the first derivative of y using the given equation.