2 y = | (x 3. 4x + 5) dx

Q: 5. Let f(x) be the function f(x) = {* T*<7 What is the value of c that makes the function f(x) conti...

A: As per our guideline we are supposed to be answer only one question you can repost other questions i...

Q: : / ain(tun3x)dx cos²3x tan( tan3x) dx Evaluate: A -in|sec(tan3x)| + c 3 B 3 -In|cos( tan3x)|+C O In...

A: On solving this we will get

Q: Find r'(t)⋅r''(t)forr(t)=−3t^5i+5tj+2t^2k

A:

Q: Determine whether each of the following functions is (a) continuos (b) differentiable. Show complete...

A:

Q: 20. Let h be the function defined by h(x) : L, sin²t dt. Which of the following is an equation for t...

A: First we find h(x) , using 2sin2x=1-cos2x Then equation of tangent is y-y0 =m(x-x0 ) 

Q: cosh In(x) y%3= VII. xp: If u is a function of x then what is u? u-f(x) A.In(x) du is equal to? A.2x...

A:

Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

Q: Research five'examples of the use of extreme value theorem in real life. Write your answers on a sep...

A:

Q: What is the equation of the family of parabolas with vertex and focus on the y-axis? A (x- h)? = + 4...

A: The equation of the family of parabolas with vertex and focus on y axis

Q: - ydx + (x++ xy )dy = 0

A:

Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

Q: cose Evaluate the integral: de. 4- sin?e A None of the given choices -sn(글sne)+c В © sin (ano)-c sin...

A:

Q: What is the relative minimum value of the the function f(x, y) = e+v ? Note: If the answer is a nega...

A:

Q: In integrating the function fx cos(3x) dx using integration by parts, what would you choose for your...

A: Let ,I=∫ xcos3xdxSubstitute  u=3xdifferentiate du=3dx⇒du3=dxI=∫ u3cosudu3I=∫ucosu9duTake the constan...

Q: +1)*eV¯dr A) B (c)

A: We will find the integral. 

Q: The population of Amoeba Proteus is known to grow at a rate proportional to the amount present in a ...

A: Given problem:- The population of Amoeba Proteus is known to grow at a rate proportional to the amou...

Q: Lesson 1.7 12. In each graph, a parent function has undergone a transformation of the form f(kx). De...

A:

Q: オーe-2r 12+e-2r x²+e-2r -2(x-e2) -dx x-+e de -2y, None

A: The given integral is; (x-e-2x)/(x2+e-2x).

Q: 32. Solve the differential equation y" + 5y + 6y = 0 when y (0) = -1, y (1) = 3 O y = 3e - 5e*r O y ...

A:

Q: Solve using method of undetermined coefficients d³x d²x dx + 6 dt2 + 12 dt dx 0, x = 1, dt d²x 2, dt...

A:

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

A:

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: [1+sin x) 'cos x dx (sin x)4 +C A ) x+ sin x + B -(1+ sin x)*+C (sin x)4 -+C 4 sin x +

A: Substitute, 1 + sin(x) = t

Q: rrect. Canvas uses right minus wrong scheme in checking multiple Question 6 What is the integrating ...

A:

Q: Find the particular solution to the differential equation y' = (6xy)2 that passes through 1, − 1 ...

A:

Q: sin In 4+tan cos-dx 4+tan-Icos- 2 1+ cos 2sin In4 4+ tan cos- dx A 1+cos 4+ tan-cos- 2sin-In 4+ tan-...

A: To rewrite the given integral so that the integral can be evaluated easily. ∫sin x2ln24+tan-1cosx2dx...

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

A:

Q: Given that lim f(x) = 2, lim g(x) = – 4, lim h(x) = 7 find the limits. Enter the exact answers. (a) ...

A: As per our guidelines we are supposed to answer only first three parts.kindly repost others parts as...

Q: Which of the following integral will give the volume of a solid generated when the area bounded by y...

A: This question is related to definite integration, we will solve it using given information .

Q: 7. x=

A:

Q: 3. If y = (sin 4x)², find y' %3D a.) 4 sin4x cos 4x b.) -4 sin4x cos 4x c.) -8 sin 4x cos 4x d.) 8 s...

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

Q: c) Solve the following differential equations using the "exponential shift" defined by equation 4.1....

A:

Q: Express the following sum in closed form. 6 +4. n k=1 k Hint: Start by multiplying out 6+4. n Note: ...

A:

Q: Set-up the integral to calculate the area of a region bounded by x-y=3 and y=x2 -6x+9 ?

A: Given x-y=3 and y=x2-6x+9 To find area of region between these two curves:

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: 16. Evaluate S x² cos(x³) dx a.) -sin(x³) + C b.) sin(x') + C c.) - sin(x³) + C d.) sin(x') + C

A:

Q: 7. xD

A:

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

A:

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...

A:

Q: A steady wind blows a kite due west. The kite's height above ground from horizontal position x = 0 t...

A: We want to find the distance travelled by the kite. 

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

A: To identify which statement is true or which is not1st:ydx+xdy=0 is the DE of family of lines passin...

Q: 1. In this problem you will prove that the shortest distance between two points is a line using the ...

A:

Q: Nightclub Management You have just opened a new nightclub, Russ' Techno Pitstop, but are unsure of h...

A: Let's find. 

Q: Question 16 Evaluate: SVX+ sin/x dx. A) None of the given choices 2x+ cos/x + C B 2 x+2cosx +C Ox-2c...

A:

Q: Match the function on the left to its appropriate antiderivative on the right. Prompts Submitted Ans...

A: 1) I=∫14-x2dx Let, u=x2, Then, x=2u  and   dx=2du now, the intergal becomes: I=∫14-(2u)22du I=2∫14-4...

Q: Which of the following differential equations can be solved by separation of variables? A (x²y² + x)...

A:

Q: 5. If 3x? +2xy + y? = 1, then y' %3D 1-3x-y c.) d.) - 3x 3x+y y? 3x+y a.) b.) x+y x+y 1+y 6. Evaluat...

A:

Q: Consider the initial value problem and find the solution: a. y" – 3y" +y' + 5y = 0, b. y" + 2ay' + (...

A:

Q: eV dr S- + 2ev +1 A -2 dr D) None B.

A: To write the equivalent integral.