3sin4t dt 2. 5(1- 3cos21)

Q: Question Evaluate the following limit using L'Hospital's rule. lim (e + 2a)() 6x Provide your answer...

A:

Q: Find a vector function that represents the curve of intersection of the paraboloid z=7x^2+5y^2 and t...

A:

Q: Question 14 Which of the following is an equation of the parabola with the following properties: ver...

A:

Q: (In(x))? 3

A: We have to apply rules of integration to solve the problem

Q: Solve the triangle below. Re 6. 37 R

A:

Q: Write the exponential equation in logarithmic form. For example, the logarithmic form of 23 = 8 is l...

A: We can convert to logarithmic form as below

Q: Q2: z = cos3xsin4y+2x²y az az azz a²z a2z Find : дх' ду' дх ду 'дхду

A: Given  z=cos3x sin4y+2x2y Differentiating partially with respect to x and y , we get ∂z∂x=(-3sin 3x)...

Q: Question Evaluate the following limit using L'Hospital's rule. 1 lim 4x cos 6x4 Provide an exact ans...

A:

Q: 2. Evaluate the following functions using the given relations. f(1) = 4 ; f(2)=-1; f(3) =-3 Given: R...

A: (2). Given:f(1)=4 ;        f(2)=-1 ;        f(3)=-3f(n+1)=5·f(n)2-2f(n-1)

Q: 1. Graph y = -cos Ex) and y = -(x – 4)² + 1 accurately on the graph provided below. Provide the nece...

A:

Q: 7/2 sec*(t/2) dt

A: Here we will solve the given definite integral,

Q: 1) appropriate (inverse) substitution, i.e. a correctly labeled right triangle: Reduce the following...

A: Since you have asked multiple questions, we will solve the first question for you. If you want any s...

Q: Find 34. tan?x sec x dx

A: Given that: ∫tan2x.secx.dx

Q: f (x, y) = –3x²y + y³ satisfies Laplace's equation fex + fyy = 0

A:

Q: For h(t)=-6t+7, determine h-1 (4). Show all steps pf your calculation please

A:

Q: A population of bacteria grows at a rate proportional to the number of bacteria at the time. There w...

A: Given that:                      Bacteria growth rate is proportional to the number of bacteria at t...

Q: Determine the solution to the initial value differential equation y' = 0.0012 y (2900 - y) y(0) = 13...

A: We have to find equation , Y max and x value for 90% Ymax

Q: dx Evaluate – 12x - 12x dx 12x - 12x

A:

Q: 2. Let f(x) ax+b cx+d° %3D (a) Show that if ƒ is one-to-one, then ad – bc # 0. (Ъ) Show that if ad –...

A: Given that: f(x)=ax+bcx+d

Q: Scscx cotx sin (csc x )dx

A:

Q: kf (x) dx =k ] f(x)dx Jas(a))dx=f (x) +C D

A:

Q: Question 15 Find the standard equation of the parabola with focus at (0, – 21) and directrix y = 21....

A:

Q: Suppose the cost of producing bananas is given by the differntial equation: dC/dx = 26/x + 45x whe...

A: The cost of producing bananas,dCdx=26x+45x

Q: For the function f(x) = 3* find fx-2)

A: Given that: f(x)=3x.   NOTE: As per our answering guidelines, we can only answer 1 question or 3 sub...

Q: 17. Find the volume of the solid generated by revolving about the x-axis the region bounded by the u...

A:

Q: QUESTION 1 d²y Find dx² for each of the following equations. a) y = 3x² + cos(3x) b) y = e** + (x + ...

A: Given that: (a)y=3x2+cos(3x)(b)y=e4x+(x+1)4

Q: Find an equation of the plane containing the points (0,0, 2), (2, 4, 1) and (–2, 3, 3).

A: Equation of a plane containing 3 points is x-x1y-y1z-z1x2-x1y2-y1z2-z1x3-x1y3-y1z3-z1=0  

Q: what is the differential coefficient of x.

A: To find differential coefficient of x we need to differentiate x with respect to x.

Q: write the given expression in the form of u^2 - a^2: x^2 - 6x + 5 is equal to. SUBMIT YOUR SOLUTION ...

A: Here we have to use the completing square method

Q: x3(75 − 14x4)5 dx

A:

Q: Which of the following is not in the domain of tan(x)? Select all correct answers.

A:

Q: Use the Pythagoraen Identities to fill in the blanks. 1= 1= :

A: NOTE: Refresh your page if you can't see any equations. . from the right angle triangle, we can wri...

Q: 2. Let R be the region bounded by y = 4x – 2x²,y = x. Provide an accurațe graph of the functions abo...

A: Given query is to find the draw the graph and then find intersection points and area of the region b...

Q: Write the function g(x) (in blue) in terms of the function f(x) (in red). 2 -3 -2 6. -1 5.

A:

Q: Find two sets of symmetric equations of the line through the points (1,2,1) and (5, –1,1).

A:

Q: Find the following limit. Enter dne if the limit does not exist and fractions should be entered in t...

A:

Q: find S z (Inz)? dz

A: Given,            ∫zlnz2dz

Q: Solve the following second-order differential equation: y" + 4y/ + 5y = 8x sin x

A:

Q: For the given position vectors r(t), compute the (tangent) velocity vector r′(t) for the given value...

A: Part A,             rt=cos5t,sin5tTo find : r'π4  

Q: Linear Differential Equations (20) 3xy' – y = In(x + 1)

A:

Q: Determine whether the sequence is divergent or convergent. If it is convergent, evaluate its limit. ...

A: Given that: limn→∞nne-8n

Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

A:

Q: 1. Prove that lim (10z – 7) = 3 using epsilon-delta definition of a limit.

A:

Q: Prove that the line x +1 = 글(-6) - lies in the plane 3x + y – 2 = 3.

A:

Q: Find the distance between the point (3,-3,6) and the line X= 2+4t y=-4t z=-1+5t

A:

Q: Use the formula to calculate the balance A of an investment (in dollars) when P = $2,000, r = 4%, an...

A: Given:   A = 2000    r = 4% = 4/100 = 0.04     t = 10

Q: Find the following limit. If the limit is an integer, record the value of the integer (fractions sho...

A: Use the basic of continuous function. 

Q: 1. Using tables of values, determine the limits of the following. (a) lim (a) (b) lim)2x) (c) lim (-...

A: This question is based on Limits .

Q: Find dy/dx, if y=(x^2−2)^3 (2x+3)^4 dy/dx = _____

A:

Q: 1. Let A, B and C be the vertices of a right triangle in R with hypotenuse BC. Let D be the point on...

A: