Determine if y = ex is a solution to y′′′- 12y′′ + 48y′- 64y=0

Q: y'dx +e* dy = 0 e* +y =c Ans.

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Q: For /- (x+x³) (x Tan-lx+1) dx = In[F(x)]+C• What is f(/3) if C = 0? -1 3 -1 + + + -15-15-15

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Q: 9. cosr - e sinxe sinx +x The integral dr may be written as me"sinx + px + qe™+C, where m, n, P, q, ...

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Q: dr = b(cos Odr +r sin Ode) Ans. r = c(1-bcos 0)

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Q: Find all critical points of the function f(x) = x-15 – x-16. (Use symbolic notation and fractions wh...

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Q: dx -= In[F(x)]+C. What is F(/3) For (x+x³) (x Tan-lx+ 1) 3. B.

A: We have to choose the correct option according to the given information

Q: Find the derivative of the function. %3D y = /x(x – 3)² y' =

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Q: 1. Given: y = 2x - Find: a.) dy/dx b.) y"

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Q: b -"+xP +C. What is the value of the sum a+b+d+m+n+p? a d The general antiderivative of (3,2–4)2,2 c...

A: We know that power rule of integration is given as-  Integration of xn is xn+1/n+1.     Here i attac...

Q: cos2x – sin2x cos2x x=-F(x)+c•What is F(x)? For = - sinr

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: The general antiderivative of (3x2-4)2x2 can be written as What is the value of the sum of a+b+d+m +...

A: Given :   (3x2-4)2x2

Q: 10. a d The general antiderivative of (3x2 – 4) 2x2 can be written as -x" -x" + x" + C. What is the ...

A: On solving this we will get

Q: A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 96 fp...

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Q: Question 5 d?y dr 2 =6- 9x and which passes through the points (0, -1) and (2, 3). Find the equation...

A: We have to find the curve

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Th...

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Q: Given Cost and Revenue functions C(q)=q3−8q2+52q+5000 and R(q)=−3q2+2500q​, what quantity minimizes ...

A: Minimize marginal cost

Q: In the city of Los Angeles, California, it is now to be said that it is the city with the most mosqu...

A: We have givenP(t) =33t3+15t2+6

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: diverges, Determine if whether the converges sequence it's limit it Converges state a), 5 (I +

A: 1)an=1+1n9limn→∞1+1n9limn→∞1+1n9limn→∞1+limn→∞1n9(1+0)9 =1limn→∞ {an} exists and is finite.Hence, t...

Q: 10* -dx may be written as AlnlsecR* tanB*+ C, where A, B, and C are constants not equal to zero. Eva...

A: Solution:

Q: For [ Ccos(2x) – sin(2r)cos(2x)) cos(x) – sin(x) -dx=-F(x)+C. What is F (x)? 3 (cse(x) – sec(x))³ ® ...

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Q: 0. Reliability of Computer Chips The percentage of a certain brand of computer chips that will fail ...

A: We have an expression: P(t)= 100(1-e-0.1t)

Q: Consider the following vector field F (x, y, z) = yz cos (xy) i+ xz cos (xy) j+ sin (xy)k (a) Use th...

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Q: The antiderivative of fx0, denoted by Fix), exhibits an odd symmetry ie., it satisfies the property ...

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Q: 2. Find the volume of the solid formed by the region inside the sphere x? + y? + z? = 16 and outside...

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Q: Given a production company is planning to increase its production. It is governed by an model equati...

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Q: cos2r – sin2x cos2x F(x) +C• What is Fx)? For dx= 3 cosx - sinx

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Q: Find the derivative of the function. y = Vx(x – 9)² y' = Need Help? Read It Master It

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Q: Given a curve Determine the unit tangent vector, T, the principal unit normal vector, N and the bino...

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Q: If y = u² + 6u - 2 and u = 4x² + 8x + 1. Find dy/dx.

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Q: dx -In[F(x)]+ C. What is F( 3) if c = 0? For (x+x³)(x Tan-!x + 1)

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Q: The resulting integral of sin- -cos-sin do has the form -F(e) +C. What should be the value of e to m...

A: To evaluate the value of theta such that  F(theta)=0  And F(theta) is obtained by integrating the gi...

Q: What is the integrable form of sin-cos-sine de? 2 2 (A) - - B -2 sinu du (D cosu du

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Q: dx For (x+x³) (x Tan-'+1) =»[F(x)]+C. What is F(/3) if C = 0?

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Q: The antiderivative of fix), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: O Use the divergence theorem to evaluate F-dS, where F (x, y, z) = zxi – e"j+ 4zk and S is the surfa...

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Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the eract answers using the provide...

A: (a) The vector v→=9i→-12j→ as v=(9,-12). Let a vector in opposite direction of v=(9,-12) be u→. Fin...

Q: 10* -dx may be written as Aln secB*+ tanB*| +C. where A, B, and C are constants not equal to zero. E...

A: ∫10xcos 10xdx Substitute 10x=u⇒10xln 10 dx=du⇒10xdx=1ln 10du =∫1ln 10ducos u=1ln 10∫sec u du=1ln 10l...

Q: Consider the points A(1, -1,4), B(2,-3, 2), C(-1, -2, 2), and D(4, 3, –6). (a) Find the volume of th...

A: The answer is shown in step 2.

Q: dx Evaluate 3x – 12 O - 00 + 00 1

A: Let's find. 

Q: 17. A stone is thrown vertically upward from the top of a house 112 feet high. If it was thrown at 9...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square ...

A: Given problem is :

Q: 4-z4 Find dz where I is a circle z-2=5. (z-4) 4 - 96 Tti - 32 T 32 Ti 96 Ti A Moving to another ques...

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Q: 2 Find the area of the region bounded by the curve y2 =4x and the lines x = 1 and x = 4. A. 24 squar...

A: Given y2=4x X=1 and x=4

Q: dx Evaluate 3x – 12 + 00 00 O 1 8 8

A: On solving this we will get

Q: What is the integrable form of sin-cos-sin0 de? 2 2

A: A detailed solution is given below.

Q: The antiderivative of ƒ (x), which is F (x), exhibits an odd symmetry, i.e., it satisfies the proper...

A: Given Problem is solved in attachment.

Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

A: Follow step 2nd . 

Q: 21 Which of the following integrals is equal to the integral | s(3x - 5) dx? (A zp (2)/ 7/3 (B) s(:)...

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