log3 a³ b + 1 is equivalent to: O O 3log3(a)-log3(b + 1) O log3(a)-3log3(b + 1) O 3log3(a)-3log3(b) + 1 3log(a)-log3(b) - log3 (1)

Q: 6. For f(x, y) = x²exy Find fx (2,1) {needs product rule}

A:

Q: (a) Find a simplified form of the difference quotient and (b) complete the following table. f(x)=x²…

A: Given: f(x)=x2 We are required to: a. Find the simplified form of the difference quotient…

Q: 5. Evaluate 3x 4e³x -dx 3x e³x +1 S-

A: given integration ∫ 4e3xe3x+1dx

Q: Find the Taylor series at x = 0 for the function by calculating three derivatives and using the…

A:

Q: Michelle invests in a savings account that pays 8% interest compounded monthly. What is the APY for…

A:

Q: Use the graph of G shown to the right to find the limit. If necessary, state that the limit does not…

A:

Q: Suppose f(x, y) (a) ▼ f(x, y) = (b) ▼ f(-1.1, 6): = tan(x) + y and u is the unit vector in the…

A: f(x,y)=sqrt(tanx+y) , (x, y) = (-1.1,6) Unit vector in the direction <-1,1> Find the gradient…

Q: = x³ and What is the volume of the 3D region, whose base is the region between the curves y = y = √,…

A: We have,   Curves :- y = x3 and y =  √x  Cross section are squares.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: 3 For the differential equation: (), what is the slope at (0,2)? √2y² +1 O 9 O 1 O

A: The differential equation y'=f(x,y) represents the slope field of the curve y=g(x,y). at any point…

Q: convergent (a) Determine whether each in (b) 1 L.3-²4x¹ 3 - 4x dx

A:

Q: ate the me tegral, √ xy² xy² ds, C is the right half of the circle x² + y² = 4 oriented…

A:

Q: e(4²)* + e* (4²*) (4)* + 4° dx

A:

Q: Write the trigonometric expression in terms of sine and cosine, and then simplify. sin(u) tan(u) +…

A: NOTE: Refresh your page if you can't see any equations. . the given expression is, as we know,…

Q: Consider the following. ) = \, P(7, 1), u = i + j y 5 (a) Find the gradient of f. f(x, y) Vf(x, y) =…

A:

Q: Let f(x, y) = x+y+xy. d First, find g(x, y) = f(x,y). Then, calculate g(2, 3). (Enter the exact…

A:

Q: What are the rectangular coordinates of the polar coordinates (35√,−π8)? Enter your answer in the…

A: NOTE: Refresh your page if you can't see any equations. . the given polar coordinate is  . the…

Q: Find the partial derivatives gæ, gy and 9% for the function g(x, y, z) = xy + x² z − yz³

A: Given :- The function gx,y,z=xy+x2z-yz3 To find :- The Partial derivatives

Q: Part 1 Find the binomial coefficient. 7C5 20C15   Part 2 (Use the binomial theorem to expand…

A: Binomial Theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+......+Cnnbn. Binomial coefficient:…

Q: Find the work done in winding up a 300-ft cable that weighs 4.00 lb/ft. O 180,000 ft-lb O2400 ft-lb…

A: To find the work done in winding up a 300-ft cable that weighs 4 lb/ft.

Q: Match each of the following vectors with its magnitude. t = (-7, 1) u = -2i-8j a vector with an…

A:

Q: 4. y=sin(3x) • cos(2x), y'=?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: 3. Differentiate the following exponential function without simplifying f(x)=√(e*)(2x)

A:

Q: x7-9

A: We know that the integral of x^n dx= x^(n+1)/(n+1)

Q: Sketch an example of a nonconstant function f(x) such that ·Sª. f(x) dx = 8

A: ∫xndx=xn+1n+1+c

Q: Let f(x)= - (2.-17). a. Use the following definition of the slope of the tangent line at x = a to…

A:

Q: Find the derivative of the function. f(x) = 2e³x-1

A: We have,      f(x)  = 2e8x-1

Q: What is the domain and range of the following function? 34. y

A:

Q: Find the parametric and symmetric equations for the line passing through the point P(1,-3,6) and it…

A: Equation of the line passing through the one  point and parallel to the given line

Q: The function H(t) = −16t2 + 48t + 12 shows the height H(t), in feet, of a cannon ball after t…

A:

Q: For the region bounded by the graphs of the equations, find the volume of the solid generated by…

A: The region bounded by y=sinx ,y=0,x=0,x=π Graph

Q: Use power series to solve the differential equation (1+2x²)y"+6xy'+2y=0

A:

Q: ƒ(x) = x + 1 X

A: By the answering guidelines of Bartleby, We can answer only first three subparts, please post other…

Q: 4. Show that det(AB) = det(A)det(B) for A ===[₂]

A:

Q: ƒ ( 1 ) = 1 ² 0 1²) find f' (2) (2 decimal places) Using the Product r

A:

Q: What is the component form of resultant of 46 - 5ā? a = (1, -3) 6=(-1,2) Enter your answer by…

A: a=<1,-3>, b=<-1,2> Find 4b-5a

Q: For the function, evaluate the given expression. y) = \n(x² + y²), find g(0, e) g(x, y) g(0, e): =

A:

Q: 2x 4. If x = (1, -2, 7), ³ = (0, 5, 1), and z = (1, 1, -2), then what is the value of a. 6 12 b. 7…

A:

Q: Evaluate the integral: cos² (2x) sin (2x) dx Туре U U'

A: ∫01cos22xsin2xdx

Q: Graph the function and then find the specified limits. When necessary, state that the limit does not…

A: A piecewise function is given and here we need to find out that limit exists or not at x=1 and also…

Q: Given the function f and the point Q, find all points P on the graph of f such that the line tangent…

A: Given : f(x)=1x+2 ; Q(2,-2)   To find : All points P such that the line is tangent to f & passes…

Q: Determine whether the following sequence is convergent or divergent. If it is convergent, evaluate…

A:

Q: 5. The velocity function (in meters per second) is given for a particle moving along a line. Find a)…

A:

Q: Calculate the volume of the parallelepiped spanned by u = (1, 1, 9), v = (5, 0, 3), and w = : (0,…

A: To calculate the volume of the parallelepiped spanned by  u=1, 1, 9, v=5, 0, 3, and w=0, -3, 0.

Q: Evaluate the integral. π/2 [" os⁹(x) sin5(x) dx

A: NOTE: Refresh your page if you can't see any equations. . use the formula  ................(1)…

Q: Provide an appropriate response. If cos x is replaced by 1-- O JE] < 0.000014222 OE < 0.000085333 O…

A:

Q: The marginal profit is given by MP= P'x = x(90x+2x^2). Find the total profit function.

A: To find the total profit function, we need to integrate the marginal profit function with respect to…

Q: 4. Evaluate √xe-²x² d

A: ∫xe-2x2dx

Q: 1. Solve the following DE using Variation of Parameters: (D2 + 1) y = secx tanx

A: given that (D2+1)y=secx tanx solve it by using method of variation of parameters

Q: How many petals does the graph of the rose curve r=4sin(3θ) have? Enter your answer in the box

A: For the function, r=asinnθ    or    r=acosnθ If n is odd then there are n number of petals. If n is…