dx ex te

Q: Nemerical Response 2 Consider the graph of the quadratic function f(x)=x+9x+15. The value of the y-i...

A: Given: f(x)=x2+9x+15To find the value of y-intercept ?

Q: Can you solve it by explaining? thank you for your effort

A: Area and volume

Q: lim

A: We have to prove if: y=limx→01x-1+1x+1x, then y=-2.

Q: Q4. Expand tan 0 in powers of [0 – ).

A: Given: tanθ in the power of θ-π4   Taylor series, fx=fa+x-af'a+x-a22!f''a+x-a33!f'''a+...+x-ann!fna

Q: Quèstion 12 If y = ux ; u = u(x) then %3D None of These. O a. dy dx Ob. %D dy du %3D OC. dx dy d. dx...

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Q: 8. The first two terms of a geometric sequence are u = 1.4 and uz = 4.48. a. Find the value of r. b....

A: We have used the following formula

Q: Find the distance of point A(23.2) from the line that passes through the origin and parallel to the ...

A: given point A 23 ,2 and line passes through orgin and parallel to the vector v =<1,3>  

Q: Quèstion 3 Which one of the following is a 2nd order Ordinary Differential Equation, 3 d'y =0 o l dx...

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Q: Find the equation of the surface in spherical coordinates. x^2+y^2+z^2=2z

A:

Q: F. dr for the curve. Discuss the orientation of the curve and its effect on the value of the integra...

A: Here we have to evaluate ∫cF.dr for the curve.

Q: dy Y %3D Which one of the functions given below is a solution of the DE xy = c None of These In y + ...

A: We will solve the following. 

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...

A: if the limit  as n approach infinity  equal  to   a constant number, like 0, 1, pi, or -3. However, ...

Q: How do I solve this? Is my f(n) correct?

A:

Q: Solve the homogeneous equation  dy/dx=3y/x +(y/x)^2 Pls I need a step by step explanation

A:

Q: Maximum printable area A rectangular page in a text (with width x and length y) has an area of 98 in...

A: We will solve the following. 

Q: Determine the convergence or divergence of the series. (If you need to use oo or -00, en 5(-1)"(8n –...

A: We have to choose the correct answer from the given option 

Q: 1. (a) Show that the following function is continuous at x = 1 for all values of p. spx + 1, if x >1...

A: A function f is said to be continuous at a point x=a if limx→af(x)=f(a).  The left hand derivative o...

Q: Please explain the solution in detail and write it legibly. Thank you so much!

A: Let I=∫012xsincos-1xdx

Q: Sketch the graph of the function and use it to determine the values of a for which lim f(x) exists.x...

A:

Q: Use differentials to approximate the value of the expression. Compare your answer with that of a cal...

A:

Q: (−e^(x)sin(y)+2y)dx+(2x−e^(x)cos(y))dy=0 Find F(x,y)

A: We have to find the general solution from the given differential equation

Q: dy 1-n + p(x) y = q(x) y" dx Given any Bernoulli DE If we substitution y = u the Bernoulli DE become...

A:

Q: 1+x V1-x sin-1(x) [3] limx-0

A: To evaluate: lim[x→01+x-1-xsin-1(x)] Solution: lim[x→01+x-1-xsin-1(x)] On simplifying further we get...

Q: True or false?

A: Given, sec-1x=cos-11x   Check it is True or False:

Q: Use the given information to find the unknown value.   y varies directly as the cube of x. When x=2,...

A: Given : y varies directly as the cube of x When x=2 then y=7

Q: A scientist has a beaker containing 20 mL of a solution containing 20% acid. To dilute the acid, she...

A: Given: A beaker contain 20 mL of solution containing 20% acid. The equation for concentration after...

Q: What is the parametric equation of line through the point (1,2,-1) and perpendicular to the plane x-...

A:

Q: What is the value?

A: Find the derivative of f(x) using  fundamental theorem of calculus

Q: Adrianna runs a business that designs custom sneakers. If she sells x sneakers, Adrianna can expect ...

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If an answer...

A:

Q: find the line of intersection (if any) of the given planes. x +3y + 2z – 6 = 0, 2x – y + z +2= 0 - O...

A: Line of intersection.

Q: A partial differential equation has an equal number of dependent and independent variables one indep...

A: The definition of partial differential equation

Q: What is the solution of the partial differential equation Da :=xe O d. := cos(x- y) 2=sin(cos(xy))

A: Let's check for z=xeyx ∂z∂x=xeyx-yx2+eyx=-yxeyx+eyx And, ∂z∂y=xeyx1x=eyx  

Q: 2z + yz? + 2ry - = 0 ve z = f (r, y) ise =? f(0,1) what is the at O a. 1 O b. 2 O C. -2 O d. -1 O e....

A: From the given problem:   x2z+yz2+2xy2-z3=0.....(1)   Now partially differentiate the function with ...

Q: Evaluate the following integral in spherical coordinates. This integral calculates the volume of the...

A: Given,

Q: Q4. Expand tan 0 in powers of [0 – ).

A: we have to expand tanθ in powers of θ-π4

Q: Please explain the solution in detail and write it legibly. Thank you so much

A:

Q: What is the angle between the lines 무 x-2 y+4_ :-3 x-2 y-5 _ : -3 and 1 1 2 1

A: To find the angle between any two lines of the form x-x1a1=y-y1b1=z-z1c1 and x-x2a2=y-y2b2=z-z2c2, t...

Q: only need help with questions b) and d)

A: Part b,Given,          y'x-3yx=e-32 , y0=-12

Q: p(x) = 0 and q(x) = 0 as x tends to a point " a " and let %3D %3D L(x) = [p(x)]^q(x), then limt of L...

A: px=0  &  qx=0 as x tends to a point "a".  

Q: dx 1)y /sec(3x) 2) y = Vu + 2u , x= u? - 3u

A:    Definition used -            Chain rule of derivative -                             ddx(f(g(x))= ...

Q: Please explain all steps

A: Given curves are y=x2-2x+1 & y=-x2+2x+7 To find the area bounded by them, first of all let us fi...

Q: Find the smallest positive root for the given function by using secant method. f(x) = 3 In(x')-x² +5...

A: givenfx=3lnx3-x2+5  

Q: Solve the following Bernoulli equation y - y = (2t - 3)y

A:

Q: 0<x<1 Q.2 Consider the function f(x) = !x´ -1, . Find and | 1-x, 1sxs 2 sketch the odd and even exte...

A:

Q: Please explain the solution in detail and write it legibly. Thank you so much!

A:

Q: Evaluate the limit below by plotting the graph of the function and choose the correct answer. lim si...

A: Here we have to evaluate the limit by plotting the graph of the given function.

Q: Please can you explain all details ? Thank you :))

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Q: Shows: Vu² +a? u? du = In| Vu* + a° +u] - + a? + C (11) и

A: We use integrate by parts formula.

Q: Find the smallest positive root for the given function by using secant method. S(x) = 4 In(x') – x² ...

A: