3cos3x - 1 To evaluate dx, the integrand can be transformed to 1- sin?x

Q: Find f(x) if f′′′(x)=3x such that f(3)=12, f(5)=25 and that at x=4, the point of inflection will be ...

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Q: Let M be the region in the first quadrant bounded by the graph of y = 2x + 3, the graph of y = x + 3...

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Q: coefficients type and homogeneity. State the independent variables ar 1. ý + P(x)y = Q(x), %3D 2. 44...

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Q: sin? x dx

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Q: y = cx + c2 + 1 y2 = 4ax 4ах %3D y = C1e* + C2e¬* -x %3D

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Q: Activity 4: Determine whether the left-hand side of the equation is equal to its right hand side. Wr...

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find the exact value of each expression. 1) cos (2) 3) cos 2. 5) sin¬1 –1 7) cos -1 11 9) sin1 11 11...

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Q: Find the angle of intersection of the plane 2x+3y+5z=−32x+3y+5z=−3 with the plane 3x+2y−1z=0

A: Given: - The plane is, 2x+3y+5x=-3, with the plane 3x+2y-z=0 To find: - The angle of intersection of...

Q: If the terminal side of a contains the point (-3,4) and the terminal side of B contains the point (1...

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Q: A. Determine if the following functions are continuous at x = c. (k) f(x): 22 – 4 ;c= 2 x - 2 (1) f(...

A: Note: As per our guidelines we are supposed to answer only the first 3 sub-parts if there are multip...

Q: Choose each improper integral from the options below. (No work is required to be su OA. J. ーx dX xe ...

A: NOTE: Refresh your page if you can't see any equations. . here upper and lower limits are finite an...

Q: A body of revolution is obtained by rotation about the line a = 0 of the region consisting of all po...

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Q: The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is inc...

A: We can find the rate of change of base wrt time as below

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y =x² , x= 2, and y = 0 a...

A: In this question we have to find the volume from rotation.

Q: 04 - +C 3ln® do : OP 2 2e A True B False

A: The given integral,∫2e3lnθ dθ=θ42+C

Q: Suppose P(t) represents the population of a certain mosquito colony, where t is measured in days. Th...

A: Given that p(t) represents the population of a certain mosquito colony The current population of the...

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 7 – 1 - x, and the line perpendic...

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Q: 5. In problems 1-5, by elimination the constant 'a' and 'b' obtain the DEs for which the following f...

A: Given Equation y=Asinx+Bcosx.......................................(i)

Q: Find the first devdivative 2. 2. u = x2+ 2 ut1 %1 ).

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Q: 3. Let f(x, y) = xy² + x°y². Find an equation for the tangent plane at (x, y) (-1,2). %3D

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Q: Evaluate Ln(-5.3- j2.4) O 4.3143+ j1.0541 O 1.7610 – j2.7164 O -1.2232+j1.9883 O -2.6170 - j3.5246

A: First express the given rectangular point into polar form then using following identities find the U...

Q: (1 1 1) \ Find the co-factor matrix of | 2 4 \5 8 9. Find the adjoint of matrix A if A = d)

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Q: 9. A lot has the form of a right triangle, with perpendicular sides, 90m and 120 m long. Find the le...

A: Given:       

Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: 2. A parabola whose focus is at the point (2,0), has a directrix whose equation is x = 6. For this p...

A: This question is based on property of perabola. With jelp of focus and directrix we find the equatio...

Q: 3. Newton's Law of Cooling states that the rate of cooling of an object is proportional to the tempe...

A: Solve these question by differentiation method. 

Q: 3x?-13х+14 dx 36х2-72х

A: Topic:- integration 

Q: 2. Evaluate the integral: (a) ſe -3x sin 5x dx

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post ...

Q: I = (4xy' + (y')²)dx

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Q: Consider the surface given by the equation z – y = x². Draw a total of at least 3 traces in at least...

A: It can be solved in 2nd part using simple geometry.

Q: of Find (7,- 2) if f(x,y) = 4x² + 7xy - 3y? + 6x - 5y - 2. of (7,- 2) = (Simplify your answer.)

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Q: 2. In problems 1-5 verify that the indicated function y Ø(x) is an explicit solution of the %3D give...

A: We have to find verify given indicated function is an explicit solution of differential equation.

Q: (3 (-6 7/ 3 3. If A = -2 2). B =G ) and C =(,"). Find AA™BC. 4 -2. 4 2 (2 3 4 4. Find the co-factor ...

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Q: Time left 1:45:41 Write the answer in your own handwriting, scan and then upload the pdf file) Find ...

A: Topic:- application of integration Note:- as per our guideline if more than one question uploaded th...

Q: . Evaluate ry² dA, where D = {(x, y) | sin r < y s 1/2,0 <S7/6}.

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Q: For mumbers 9- 10. Consider the probability distribution of the number of mangoes given below. R PIR...

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region...

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Q: 19. Why is it important to sample not more than 10% of the population when the sample is drawn witho...

A: Given questions : 19. Why is it implortant to sample not more than 10% of the population when the sa...

Q: A cross section of a parabolic mirror used in this type of parabolic solar collector can be modeled ...

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Q: Find u v. u = i - 9j v = -4i + j u v =

A: We can solve this as follows:

Q: Find the equation of the tangent line to the graph of f(x) = (4x – x2)(4 – x - x2) at x = 1. y =

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Q: y = Ceax cos(bx) + C2eax sin(bx); a and b are parameters y = Ce2x cos(3x) + Cze2* sin(3x)

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Q: Determine whether the lines L1:(x−22)/7=(y−17)/7=(z−19)/7 and L2:(x+15)/8=(y+22)/9=(z+22)/10 inter...

A: NOTE: Refresh your page if you can't see any equations. . the first line is  write the given line i...

Q: Evaluate the following (general) antiderivatives: a)[9x - 7x+8 dx dx b)[2 cos(x)+3sin(x)+4e* +5sec*(...

A: Evaluate the following antiderivatives.

Q: ×(×+5)=2

A: This question is based on quardetic equation.we have to find its roots with the help of formula . He...

Q: 5e*dx V9-12e3* +4e6x

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Q: Without using calculators, of the rational function, find the domain, all the x-and y- intercepts; t...

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Q: (c) S (d) S: xe* ;dx (1+x)2 ex dx V1-e2x

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Q: Find an equation of the normal line to the parabola y = x – 9x + 5 that is parallel to the line x - ...

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Q: y' = *+y2 ху

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