Using an appropriate substitution, cos x-sin x the integral Jo cosx+sin x dx equals: 0 cosx+sinx 1 -1 none of them

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Q: (y-Vx² +y² )dx – xdy = 0 Solve When: x= 0, y =1

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Q: The derivative of the function y = cot¬1(cscx) is: is: cSc X cot x y' csc x cot x y' csc²x+1 csc?x+1...

A: Find the derivative of the function

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Q: Find the derivative of the trigonometric function. g(x) = 8 tan(9x) g'(x) =

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Q: 1. Evaluate the integral |// cos (-) dV, where G is the solid defined by the G inequalities <y< , y ...

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Q: Use the following theorem to evaluate the integral / le - 2|dx. -1 Theorem: If f is integrable on a ...

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Q: 1. To set up wastewater plants and connect the trailer and low-income households to the nation's sew...

A: in this question have to find formula for cost-benefits analysis formula for this we have to substra...

Q: / Va? – 4 dx, х > 2

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Q: Find all possible functions with the given derivative. 7) y' = 5x2 + 1 %3D

A: solution = y' = 5x2 + 1  y' = dy/dx dy/dx = 5x2 + 1 ∫dy = ∫(5x2 + 1 ) dx + c  [ yn dy = yn+1 ] y =5x...

Q: Find || (x, y) dA where f(x,y)=y and Ris the region bounded by y = x² and y = x. (A) (c) (B) 12 15 r...

A: Given: I=∫∫Rfx,ydA ; fx,y=y And y=x2 &amp; y=x   As we know that; The Power rule: ∫xndx=xn+1n+1+C ; ...

Q: Let the region R be the area enclosed by the function f (x) = 2/x, the x-axis and = 5. Find the volu...

A: Find your answer below 

Q: dx 4) S JaNx - 6) dx 5) N-x2, 4x + 5 6) S tan x dx Vsec2 x - 4

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Q: | (о + 1) In (») da

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Q: for power substitution method, next step is * 2+E dz 6 – 5(u²)2 + u² , -(2udu) 4 – u² r6 – 5u² + u² ...

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Q: e) lim e¬x²x3

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Q: Evaluate the definite integral two ways: first by a r-substitution in the definite integral and then...

A: The given integral,       ∫08x1+xdx

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Q: 6n Determine if the sequence an 4(-1) converges or diverges. If it converges, compute its limit. If ...

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Q: Use the eigenvalue-eigenvector method to solve the initial value problem (2 -7 0\ X = (5 10 4 x, X(0...

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Q: Question 18 d?y If y = x In x, find dx2 A) -1/x B -1/x? © 1/x2 D) 1/x

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Q: . A pharmaceutical company is testing a new drug. After a person takes A0 mg of the drug, the amount...

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Q: 2x if x 2

A: This is a problem of limit and continuity. Function is called as continues if it's left and right li...

Q: Using the method of substitution, b. I : x2 /9x + 7 dx f(u) du %3| a where u = du dx a = and f(u) = ...

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Q: Evaluate the integral by first modifying the form of the integrand and then making an appropriate su...

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Q: dx 19. J 16+9x² A.ta *() + B. tan-" () + c ccot- () + c D. - cot () +c 12 16

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Q: EXERCISE 1.3 EXPLAIN ON HOW YOU WILL SOLVE FOR THE LIMITS OF TRANSCENDENTAL FUNCTIONS USING TABLE OF...

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Q: Question 7 Find dy/dx. y = x$ sec (–) (A x3 sin 5x cos x + x² sin² 5x () B -x3 sec + 5x4 tan sec (c)...

A: here problem of differentiation we use d(u*v)/dx rule d(u*v)/dx = u*dv/dx + v*du/dx so answer is giv...

Q: 17. If y = tx, where t is the parameter, what are the parametric equations of the curve x' + y' = 8?...

A: solution:-y=txx3+y3=8x3+tx3=8x31+t3=8x3=81+t3x=21+t33

Q: B. Use the figure at the right. 1. [- 5, - 3) 2. [- 4, - 2] 3. [-1, 2] 4. (3, 5] 5. [1, 4] 4. 3- 2- ...

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Q: for power substitution method, next step is * For S - S 4u²du 4u²du u* + u u² + u* O Option 1 Option...

A: Given: I=∫dyy+y4  ...1

Q: Trace the curve of the following equations by giving the a. Intercepts done b. Symmetry done c. Vert...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: Q1. This question asks to find the average value of a function (see Lecture 10). (i) Find the averag...

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Q: 5. If s = t – 5t + 12t², find the velocity of the moving object when its accel- eration is zero.

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Q: Determine the value of c such that the function is a probability mass function. g= {(11,0.12), (13,0...

A: For the probability mass function: ∑xPx(x)=1

Q: Calculus: In a certain city, the probability density function for x minutes to be the length of a te...

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Q: sin n(4-y)sin(3 – y)dy

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Q: 2xt - Evaluate detaited Soution

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Q: Let the region R be the area enclosed by the function f (x) = x² – 2 and g(x) = 2x – 2.Find the volu...

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Q: Question 8 Find dy/dx of y= sin-!x+ cos-!x dy/dx is Blank 1.

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Q: Evaluate the integral, if it exists: +z sinx dx z-

A: We will evaluate the integral if it exists in the following step.

Q: nsider the parallelepiped with adjacent edges u = 6i + 7j +k v = i+j+5k w = i+ 7j + 9k d the volume.

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Q: 3-VE For dz, z = 2+vz

A: Given,             ∫3-z2+zdz

Q: If the vector field F = (sinx + (7 + c)xy, (c + 1)x² – e') is conservative, then c=

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Q: Find the area of the parallelogram that has u = 2i – j+ 2k and = 2j + 3k as adjacent sides. NOTE: En...

A: We will find the area of the given parallelogram in the following step.

Q: dx To evaluate the most appropriate substitution is A z=x/12 B © z= x/3 D z= x1/4

A: We need to choose appropriate substitution.

Q: [1 2 a-lf A = 0 1 -1 lo o 4 prove that (A - AT) is askew-symmetric 2 matrix

A: simple sunstract A minus transpose A and see that property of skew symmertic matrix is follows.

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 11) y = In 1-x (x +4)3

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Q: In exercises 1-23 solve the given differential equations: dy 1. = sin 5x %3D dx 2. etdy dx = 2x dy 3...

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Q: dx Evaluate the integral V1 + 9x² 1) Which substitution will change the integral into one of the for...

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