3x³-28x² +40x-42 3x² - 4x+5 dx

Q: Let f(x) = 2log₁(x) f'(x)= ƒ' (6) =

A: We have to solve above question

Q: The regions A, B, C, and D in the figure below are bounded by the graph of the function f and the…

A:

Q: Compute the given integral. fcos¹ a a sin ædx = +C

A: Our Aim is to evaluate the integral given below:-∫cos7 (x) sin (x) dx -(i)

Q: The slope at any point on a curve is given by 6x-2. Determine the equation of the curve it passes…

A: Slope of the curve is given by dy/dx

Q: Evaluate the integral by making the given substitution. [sec (3x)tan (3x)da, u = 3x +C

A:

Q: Evaluate (² + y2) ds, C is the top half of the circle with radius 2 centered at (0,0) and is…

A:

Q: 2. Let f(x, y) = |x − 1| · yś. (a) Compute, if they exist, the partial derivatives få and fy at the…

A:

Q: Find the point at which the line y(t) z(t) = 2 + 4t -6-8t intersects the yz plane. 6-7t

A: The line x(t)=2+4t, y(t)=-6-8t, z(t)=6-7t intersect yz plane Note:    Multiple questions are given,…

Q: Find SS₁² 6x d.A over the region R = {(x, y) | 0≤x≤ 2,0 ≤ y ≤ 5} by identifying it as the volume of…

A:

Q: S √x²-a² X dx

A: To solve the given integral.

Q: Find a vector with initial point (-4,-2, 1) and terminal point (-12, 5, -8). Then find a unit vector…

A: Given problem:- Find a vector v→with initial point -4,-2,1 and terminal point -12,5,-8.Then find a…

Q: Let f be a continuous function such that -6 [', f(x) dx = 9. What is the value of -3 f(x) dx = -10…

A:

Q: Enter the exact answer. tan B FREE B 55 Figure 1 4

A: Please refer attached file for solution below

Q: xy - Y lim(x,y)→(1,0) (x − 1)² + y²

A: Please see the below picture for detailed solution.

Q: Q4. Find the values of the constants a, b, c so that - - F = (axy + bz³)i + (3x² − cz)j + (3xz² –…

A:

Q: Suppose that f(x, y) = 5, and D = {(x, y) | x² + y² ≤ 1}. Then the double integral of f(x, y) over D…

A:

Q: Solve (2y³ – x³) dx + 3xy² dy=0; y (1) = 1 O a. x² (5y³ x ³) = 4 b. ? (5y® — g - 23) x³) = 0 ○ c. x²…

A:

Q: find the area of the region enclosed by the curve defined by y=x^(2) -2x-15 and the x-axis. Please…

A:

Q: Let W be the subspace spanned by u, and u₂, and write y as the sum of a vector in W and a vector…

A:

Q: (b) Consider the complex vector space C² (with complex scalars). Find the real number a, if it…

A: The objective of the question is determine the value of "a" for which given vectors are linear…

Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

A: We have to find partial derivatives and new values of x and y .

Q: Find foda + C

A:

Q: Two cars leave from the same position at the same time. One travels due North at 30 mph, while the…

A:

Q: For the function f(x)= −2sin(x−3π/2), determine its amplitude and period, and then graph it for two…

A:

Q: IN 10 MINUTES PLEASE JUST WRITE THE ANSERS NO DETAILSSSSS!!!!! Let f(x,y) = xsiny + ysinx +xy be…

A:

Q: Solve the differential equation (2x + y) dx - O a. 5x+10y + In |10x O b. O c. 5x O d. 5x (4x + 2y -…

A:

Q: (2x+5)³(52²-2x) 4. Use logarithmic differentiation to find the derivative of the function y = √2x+5

A:

Q: Find the limit. x²y lim (x,y) → (0,0) x² + 8y²

A: limx, y→0, 0x2yx2+8y2

Q: Please do question 5b. I can't see the question being written clearly before the working out

A: Let's find velocity,speed and acceleration of given plane.

Q: Find the area bounded by the curve xy=2 and the line x+y=3 O 0.11 O 0.17 O 0.22 0.05

A:

Q: Solve the differential equation dy dx y+√√x²+y² X O a. y² = 2x-1 O b. x2 = 2y-1 O c. √x² + y² O d.…

A: To solve the given differential equation.

Q: 1 Given the differential equation dy = y³xex² уз хеха dx a. find the general solution

A: The objective of the question is evaluate the differential equation.

Q: Find the partial sum S, of the geometric sequence that satisfies the given conditions. 2 a=²₁r = ₁ n…

A: Please see the below picture for detailed solution.

Q: Evaluate [(e²/² - x)(e²/² + x) dx. Show your work.

A:

Q: In the below series find the missing noumber  2 , 3, 6, 11, 20, 37, 68, 125, 230, __ , 778,1431

A: Given data:- The below series is given, 2 , 3, 6, 11, 20, 37, 68, 125, 230, __ , 778,1431

Q: In the figure, the regions A, B, C and D bounded by the x-axis and the graph of f have the following…

A: Here we will find the definite integral,

Q: Find the domain of the vector function r(t) = Domain: {t |} ≤t≤

A:

Q: A firm produces two types of calculators each week, x of type A and y of type B. The weekly revenue…

A: we need to find out the partial derivatives of profit function with respect to x and y.

Q: 5. (a) Suppose a particle moves along a trajectory given by the vvf r(t). If its veloc- ity and…

A:

Q: 4. An oil rig lies 20 km off the coast of Newfoundland. A town lies 80 km along the coast from the…

A:

Q: When completing the square, a quadratic trinomial is turned into which one of the following? A…

A: Given.

Q: Use cylindrical coordinates to integrate f(x, y, z) = z over the intersection (i.e. all the volume…

A:

Q: Evaluate the integral: (A) Which trig substitution is correct for this integral? 1 0x = -sec (0) 10…

A: The given integral is: ∫dx64-10x232 (B) To find: Which integral do you obtain after substituting for…

Q: 1261 (2x+1 dz 4-3x -x² 1 (((x+) dx (3) 28 (2x-3 dx √(x²-1) (2x+3) 31 32 33 dx √(x²+1) (2x+1) alx…

A:

Q: Use calculus to find the open intervals on which the function f (x) = x +4√1 − x is increasing or…

A:

Q: . A rectangle has a perimeter of 6x + 9x² - 10x +5 and a length of x. Find the width of the…

A: Given: Perimeter of the rectangle is 6x3+9x2-10x+5 and length is x.we need to find the width when…

Q: Find the Taylor Series generated F(x) = ११० (7-X)12 {'(x) = (2x)10 9 (7-X)10 90 {"(x) = (7-x)" by…

A: To find the Taylor series generated by fx=17-x9 at x=6.

Q: x Cothx Y = (Sink x) 4 Find dry" dx [ Sin'x]

A: Given: y=sin hxx cot hx

Q: Use reference angles to evaluate sec : (17T). Enter the exact answers. For the number 7, either…

A:

Q: 37. Problem Using polar coordinates, a point is at (7, 38). Find its rectangular coordinates. a)…

A: As per bertleby guideline I  have to solve only problem 37. For answer to others resubmit the…