5 (lx-21-4) dx

Q: of Fx) = 5x²-x-2, find the following. f(1) = F-1) = f(a) = f(-a) = fa+1)= 2f(a) = f(2)= R(₂²)= [K]²…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. B. e3x-3x² 3…

A: Given differential is of the form M+Ndydx=0

Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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Q: Find the equation of the tangent line to the curve y = 8 sin æ at the point (7,4). The equation of…

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Q: 7. Prove that d dx [cos ¹ x] = = 1 √1-x² x2

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Q: (7) sin √x dx. (First substitution, then by parts)

A: The solution for the given integral is as follow.

Q: Which of the following equations is NOT a variable separable differential equation? OA 2xydx + (x² +…

A: NOTE: Refresh your page if you can't see any equations. . check the first DE now all x variables…

Q: Given that Vf(10, −8) = 13i – 9j, find the directional derivative of the function f at the point…

A: Given query is to find the directional derivative.

Q: indi the derivative  y=arctan² (x³)

A: Given,   y=arctan² (x³)    Find derivative of y

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. -√³x 5 y…

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Q: Evaluate

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Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A: Given data:- y3+kxy4-2xdx+(3xy2+20x2y3)dy=0

Q: Ulus 1 Graphs > Name: Jardan Schiffer Date: 9/27 Teacher: Mrs. Coon ce a table. Write the domain,…

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Q: what is rational function ?

A: Relational number Our connection is number three. As you'll see that number is specific to our…

Q: instant 10. When air expands adiabatically (without gaining or losing heat), its pressure P and…

A: Rate of increase of volume is =35.71 cm3/min

Q: Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is…

A:

Q: Determine whether the statement is true or false. If the statement is false, make the necessary…

A: Given: a+bn = ∑r=0nnran-rbr Formula used: The Binomial expansion is: ∑i=0nXi =…

Q: Show that:

A: Given, nr+nr+1=n+1r+1

Q: Given the vectors a = (2,-1,3), b = PQ where P(1, 1, 1) and Q (5, 1, -1) and Ĉ = 1 + 1 + 3k. Find a)…

A: Given vectors are as  a→=2i-j+3kb→=(5-1)i+(1-1)j+(-1-1)k     = 4i-2k c→=i+j+3k    c) Projection of…

Q: Let z=xy/(5x^2+4y^2). Then:     ∂z/∂x =     ∂z/∂y =

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Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given expression, y=x3-3x2+4 P (2,0)

Q: Find a polar equation for the curve represented by the given Cartesian equation. x + y = 4 2√2 sin…

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Q: 9. For what value of a is the following function continuous at every x? a x+6a, x22 8, x<2 Select…

A: Given query is to find the value of "a" that makes function continuous everywhere.

Q: Use the definition of the derivative to find the derivative of the function f(x) = 6√/10x tangent…

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Q: What is a suitable integrating factor that can be used to solve the equation dy dx O A. e B. 3 ex C.…

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Q: Find the general solution of y" =2x+ sinx + e*

A: Topic- Differential equations We are given that, y''=2x+sin x+ex We know that,…

Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x −y)dy = 0? None…

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Q: 1. Given that lim f(x) = −1 and lim g(x) = 8, find the following limits. x-3 (a) lim (2g(x)-4f(x))…

A: This question can be solved using the concept of limits.

Q: Which of the equations below is a second order nonlinear differential equation? A. "x²y-(1-2)² = ²x…

A: (A) Here by the square of the term (1-dy/dx)² we get the term (dy/dx)² which makes this differential…

Q: t is the object's velocity when t=6? far has the object traveled in 6 hours? n is the object…

A: Topic:- application of derivatives and algebra

Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

A: To find the equation is not variable separable.

Q: The rate of change of the variable y in terms of another variable t is equal to the expression 5t4 -…

A:

Q: cost function for Joanne's T-shirt production. hirts must she produce and sell in order to break…

A: we will find the required.

Q: Question Use the formula to evaluate 4e4x 16+e4x dx. Include +C in your answer. Provide your answer…

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Q: -6 1 1 9 d. f(-4)= = -2 T Consider the graph of y = f(x) above. State the value of each of the…

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Q: 3 x dx + 5x² (4²5) ³ - dy4 Determine the order and degree of the differential equation, 3x - xy = 0.

A: Determine the Order and Degree of the Differential equation.

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1 A. 1/4 B. 1/2 C. 3/4 D.…

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Q: Eliminate the arbitrary constants of y=c₁e*+cx*— sin3x

A: We use differentiation to Eliminate the arbitrary constant, we differentiate the given equation as…

Q: Find the explicit solution of dy/dx=2xy² + 3x²y², y ( 1) = − 1 O 1/y=3-x²-x3 Oy=x²/2+x²³/3-3…

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Q: The partial fraction decomposition of f(x) X - 5 + g(x) x + 5' where 56 x² - 25 can be written in…

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Q: Find the present value of $4000 payable at the end of 4 years, if money may be invested at 8% with…

A: The amount $4000 payable at the end of 4 years, the money invested at 8% with interest compounded…

Q: . Consider the point (x, y) lying on the graph of y = sqrt(x - 3). LetL be the distance between the…

A: Given data:- The given equation is, y=x-3

Q: The integrating factor (IF) of the equation y' - 2ycot2x OA sin2x OB cot2x OC.Lnsin2x D.csc2x OE…

A:

Q: Hint: Use the half-angle identity cos² solution X - 1 (1 + cos2x) + C

A: Given query is to find the value of the integral.

Q: g(x) = 3x + 6 x 10

A: We need to evaluate the limit.

Q: Question 1; Part A,B,C Determine whether the following statement is true or false. True False If…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: ion-Solution-Final Answer-Conclusion forma erate solution of the first-order differential ec ent…

A: Topic:- application of integration and solution of differential equations

Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x.

A: Obtain the differential equation whose general solution is y= C1 + C2 e^3x

Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy…

A: