() limに)→(0.0)

Q: What values of a and b maximize the value of (x-x²) dx.

A: Find your answer below 

Q: (use Loug division) | 2x'.3x² +Yx+5 +2 2X-3X +Y x +5

A: Given query is to perform long division.

Q: If f(x) =x² +1 and g(x) = 2x + 3, find all values of x where the derivative of fAg(x)) is equal to t...

A:

Q: Find the radius of convergence and the interval of convergence. k (x + 8)* k=0 Radius of convergence...

A: We can find the radius of convergence and interval of convergence of the series by using the ratio t...

Q: Consider the surface defined by f (, y) = ln(5y – 7x). Find the equation of the tangent plane to f(x...

A: (x0 , y0 ) = (2,3) tangent plane formula  f(x,y) = (x-x0 )f'x(x0 , y0 ) + (y-y0 )f'y(x0 , y0 )  here...

Q: Let be the function with first derivative g'(x) = Vx3 + x for x > 0. If g(2) = -7, what is the value...

A:

Q: 1 4 0, 9. %3D

A: Topic:- sequence and series

Q: Consider the two-dimensional vectors a and b. a = ,  b = Find the measure of the angle ? between a ...

A:

Q: 1. Find the general solution of (y? – 1) = 4xy? dy %3D dx

A: Topic:- differential equations

Q: 6. f(x)=cot(x+180)+2 f(x) Period Vertical Shift: Horizontal Shift_ Start End Increments

A:

Q: Convert each degree measure into radians. 13) -780° 14) 345° 15) 150° 16) -250°

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask th...

Q: f(x+h)-f(x) determine the derivative/ slope of tangent for = lim h→0 h -1 2x 5a) Using the formula M...

A:

Q: A train moves at a velocity of v(t) 3t 32007 km/sec where tin seconds is the time passed since the t...

A: We have a given velocity in term of time . We know , acceleration=dv/dt.

Q: 2 f(x)=-2cot(x-45)+2 Period f(x) Vertical Shift Horizontal Shift Start End: Increments

A: According to question,Given function,fx = -2cotx- 45o + 2

Q: QUESTION 3 What is the graph of the equation x2 + z2 = 1? Circle Cylinder Plane Sphere

A: ⊙The standard equation of circle in x-z plane with centre (h,k) and radius r is given by:           ...

Q: b. Si x-2ª 3 1

A: ∫13dxx-2    =  [ lnx-2 ]13   =  ln|3 - 2| - ln|1 - 2| =  ln |1| - ln |-1|   =  0 - 0  = 0 

Q: Find the equation of the tangent line to the curve y = x(2 - x)² at (1, 1). O a.x - y = 0 O b.x - y ...

A: The curve y=x2-x2 at (1,1)

Q: Find the length of the curve defined by the following function for 0 <t < 2n. 7(t) = (– cos 2t)i + (...

A:

Q: Using double integration, find the volume of the solid bounded below by the plane z = 0and above by ...

A: Given that a solid is bounded by the xy plane i.e. z = 0 and above by the Paraboloid z = 25 - x² - y...

Q: b) E = 25,000 101.5M %3D

A:

Q: Solve using alternating series

A:

Q: Solve the initial-value problem with the initial condition y0 = 0. dy dt = y − 2 y =     Graph the s...

A:  

Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

A:

Q: A farmer finds that if she plants 40 trees per acre, each tree will yield 60 bushels of fruit. She e...

A:

Q: QI: Draw the projections of the points: A (8, 3), B (-5, 4.5), C(0,-3). D (6, -3), E (-5.5, -1), F (...

A: Solution is given below:

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural nu...

A: 9. y =cosx nth derivative and n is divisble by 4  it means n is even number 4,8,12...ny so lets chec...

Q: use rules of differentiation, find the derivative

A: Given y=4log3x2

Q: sec°xtanxdx

A: We need to evaluate :

Q: Q.3\ The Maclaurin series for cos(2x) for every x is:

A: In this question we have to find the Maclaurin series for cos(2x).

Q: Differentiate the function. t(t? + 1)4 V2t – 1 g(t) = In 5

A: Given  g(t) = lntt2+142t-15g'(t) = dlntt2+142t-15dtg'(t) = 1tt2+142t-15×dtt2+142t-15dt              ...

Q: If a and B, are two angles in standard position in Quadrant II, find sin(a - B) for the given fun 5 ...

A:

Q: - 3x + y = 6 ax + 2y = 4 In the system of equations above, a is a constant. For which of the followi...

A: Given :-3x+y=6ax+2y=4

Q: A dilation has center​ (0,0). Find the image of the point ​L(−3​,0​) for the scale factor 2. L'=

A:

Q: h(x) = x2 – 4. Is h1 a function and why/why not? %3D No, the inverse function does not pass the vert...

A:

Q: Using differentials, determine the appropriate increase in the volume of a sphere if the radius incr...

A: topic- differentials

Q: Let 8 be a twice-differentiable function with g'(x) > 0 and g"(x) > 0 for all real numbers x, such t...

A: We have to find g(6) 

Q: Honey is pouring out of a funnel at a rate of 3cm3/s. The funnel is in the shape of an inverted cone...

A: Given query is to find the rate of change of height when honey is at the level of 5 cm.

Q: Find differential of the function ? = (x^2+2)^3 dy = ____ dx. When x = 4 and dx = 0.05, compute th...

A: We will differentiate the function Y=(x^2+2)^3 as follows 

Q: Differentiate the function. 1 f(x) = In .4 %3D f'(x) = %3D

A:

Q: 0 sin x

A:

Q: Compute the curl and divergence of the vector field F(x, y, z) = (T 2², 2yz) . Is F conservative? If...

A:

Q: Find the velocity and position vectors of a particle, given its acceleration and initial conditions ...

A:

Q: 14 2

A: Note:- As per our company guidelines we are supposed to answer only first three sub-parts. Kindly re...

Q: What values of a and b maximize the value of ["(x – x²)

A:

Q: tanwdw The is equal to 1- tan?w

A:

Q: Find the differential dx for the function: y=V4+5x at x 0 and dx 0.04. 0 5 O 0.08 O 0.05 O 0.8

A:

Q: х+ 3 f(x) %3D x2 - 9

A:

Q: Section 3.4 p. 308/310 # 192 Express the rational function as a sum or difference of two simpler rat...

A:

Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx I=2∫(x2-3x+54)dxI=2∫(x2-232x+322-322+54)dxI=2∫x-...

Q: A gardener wants to enclose the area outside of his house for his plants and flowers. One side will ...

A: Given that Area =150 m2Solution:Area =xy xy=150y=150xperimeter=2x+yp=2x+150xfor maximum perimeter dp...