Match the integral expression on the left to an equal expression on the right. Ssin(3x)sin(4x)dx - S(cos(x) + cos(7x)ax Ssin(3x)cos(4x)dx - Ssin(x) - sin(7x)dx Scos(3x)cos(4x)dx -S(cos(x) - cos(7x)ax]

Q: Determine the limit of the sequence or show that the sequence diverges by using the appropriate…

A: an=7n2+n+24n2-3limn→∞an=limn→∞7n2+n+24n2-3           =∞∞(indeterminate form)…

Q: The coefficient of Sin(x) in the antiderivative of F(x is 15/32 (use fraction form not decimal no…

A: Given,            The coefficient of sinx in the antiderivative of Fx=cosx26 is 1532.To find : Show…

Q: 1+ cos(t) 1 – sin(t) 2t) (n) y(t): (o) y(t) = In(5tª + 3t2 + 1) (p) y(t) = t° + T' + e™

A:

Q: How many numbers are there between 500 and 1000 which have exactly one of their digits as 8? a.153…

A: Let's find.

Q: 8) Find the cross product a x b and verify that it is orthogonal to both a and b. a = (1, 1, -1),…

A:

Q: What is the equation of the vertical asymptote of f(x) = tan x where 0 < x < T А. х — 2 B. f(x) has…

A:

Q: Write the given expression in terms of x and y only. sin(sin-(x) + cos-1(y))

A:

Q: Determine the value of the arbitrary constant of the antriderivative of F(X) = x-In(x) given the…

A:

Q: A pencil cup with a capacity of 32 in. is to be constructed in the shape of a rectangular box with a…

A: Optimization of cost

Q: xydy - (y – 3x²) dx = 0

A:

Q: 2. (2х- Зу +1)dx - (3x+2y-4)dy 3D 0

A:

Q: Write the partial fraction form of the following expression: 4 x²+15x+56 Note: You are not asked to…

A:

Q: Determine whether the planes are parallel, orthogonal, or neither. 7x - 3y + z = 8 x + 4y + 5z = 1 O…

A: Given query is to find the angel between the plane.

Q: Given the following matrices, perform the indicated matrix operation. 1 7 8 [5 1 2 -2 -4 A = 3 -6 -9…

A: To perform the indicated operation for the given matrices.

Q: Fór the functión f whósé graph is given, state the following. (a) lim f(x) X - 00 1 (b) lim f(x) X →…

A: consider the figure given below :

Q: 7. What region R in the ry-plane minimizes the value of r + y? - 9dA? 8. Calculate the average value…

A:

Q: 9. The radius of a circle is increasing at a rate of 3 centimeters per second. At a certain instant,…

A: We want to find the rate of change of area of the circle when r= 8 cm and the radius of the circle…

Q: d 4) (1+ x)* = (Logarithmic differentiation) %3D

A: Given, d/dx (x+1)x We can find it by substitution method

Q: If f(x, y) = 7xe5y + + 7y lnx, then is given by: 35e5y + 5/x 49e5y + 7/x 25e5y + 7/x 5లోbw + 7/a

A:

Q: Evaluate: /sin(/x)dx A 2/x sin(x)-2cos(/x)+C B2/xsin(/x)+2cos(/x)+C 2sin(/x)+2/xcos(/x)+ C D…

A:

Q: Let x = 0.46 and y = 4.74. Determine the value of C when you ev |tan-(2x)dx.(Use 2 decimal digit)

A:

Q: 2. Which of the following is an example of a partial differential equation? SHOW YOUR COMPLETE AND…

A:

Q: -3a 36)-216 3- 2 3p x²-e3x. 時le). ex² =e12

A:

Q: 0. -10 0 -101 -5 0 B = -2 10 2 6. 4 -5 -4 -2

A:

Q: dy dæ3 +7 - 7y = 0 dx O 1st order, 1st degree O 1st order, 3rd degree O 3rd order, 1st degree None…

A: To determine the order and degree of the following differential equation.xd3ydx3+7dydx-7y=0

Q: HwE valuete xg JA ,Rvis ,enclosed between y= JA , R xis 8 Xig=/X 2 » X= 2 and X= 49 11 12 し

A:

Q: A body at a temperature 0 degrees Fahrenheit is placed in a room temperature is kept at 100 degrees…

A: Given query is to find the time required to reach the temp to 50° Fahrenheit.

Q: 3-4 3. - find A-! L i As

A: Given query is to find the inverse matrix.

Q: dy dr * = 1+ ev-z+5 e + e®+y

A: Option -3:C=x e-5-ex-ydifferentiating w.r.t. x;0=x (0) + e-5(1) +exe-ydydx                -ex-y0…

Q: Find the absolute maximum and minimum values for the given function over the specified domain. f(x)…

A:

Q: 15 loyy o4=x 16 og 2 243: 2x+l 64=7

A:

Q: The coefficient of Sin(x) in the antiderivative of F(x) =| cos is 17/16

A:

Q: Prompts Ssin(3x)sin(4x)dx

A:

Q: Of all rectangles with a perimeter of 32, which one has the maximum area? (Give the dimensions.) The…

A: To find the length and width of the rectangle that has perimeter of 32 with maximum possible area.…

Q: y(x) =x' (2x – r²)

A:

Q: Determine the diameter of a closed cylindrical tank having a volume of 11.3 m topbtain a minimum…

A: We will use the concept of critical points to get the diameter

Q: For numbers 13-14. Consider the graph of the function. 13. Which of the ff. points does the function…

A:

Q: Let F(x)= f(x) + g(x)e* + h(x)e2x+C be the antiderivative of G(x) = (x+ e*)", Determine the value of…

A: Explanation of the answer is as follows

Q: Condene each exprossion to a sngle logaritim 5 layz 4+ 109ga 2+ layaw+logz* 3. 2. + log qfu + loy ab…

A:

Q: Suppose that you have a task of measuring the lengths of a bridge and a rivet and come up with 9999…

A: Let's find.

Q: Ex filnd divergenceof f when yj at (o1). 2 e ( + 9 J

A: See the answer below

Q: The relative error in an approximate solution is 0.004%. The number of significant digits in the…

A:

Q: x3-1 D. Is the function k(x) = {x²-1* * 1 continuous at x = 1? 2,x = 1

A:

Q: I. Find the first derivative of the given function. 3 5. v = (1+ sin*y)

A: We can solve this as follows:

Q: (1+ ye* + xye")dx + (xeª +2)dy = 0 C = xye + 2y + x C = xye" + 2y – x O Option 3 Option 2 C = xye –…

A:

Q: 2.) W = In In (I+e)*

A:

Q: sin x e" dx Cos x

A: Given:       ∫sinxcosxex dx       =∫tanx exdx Integration by parts Formula:       ∫u dv=uv-∫v du

Q: 1. y = 8x5 - 2021, 5th derivative 2. y = x5 - 3x4 + 6x³ - 9x² + 12x - 15, 4th derivative 3. y = 2x2…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: Why 3^(x+2)-10×3^(x)+1=0 is -2 or 0?

A: Put x=-2 or x=0 and check which 'x' satisfy the equation .