33. (a) L²₁ let - 11 dx r3

Q: Using integration by parts, Then k is? (a) - 1.5136 ²x³ cos x³ cos(x²) dx = k - [*x sin(x²) dx 0…

A: Solve it

Q: II. Find d Do not simplify your answers. 1. log,(√2x² + y) + tan(z* — x") = sin−¹(x² − 1) + ½

A: This question can be solved using the concept of differentiation of implicit function.

Q: d d Calculateri(t) r2(t)] and 77[r1(t) × r²(t)] first by differentiating the product directly and…

A: We need to find derivative.

Q: d. Find an equation of the normal line to the graph of y = √x + 1 at the point (3, 2).

A:

Q: Evaluate the definite integral. Joe²¹i+ i+e¹j+t kdt kat O © 2²² ² x i 2 © (e²-1) e² O e²-1 2 O e²…

A:

Q: Given the function C(a) = (x-4) (x + 6) (x - 1) its C-intercept is its x-intercepts are

A: Solution is given below:

Q: 2.4 x cos x² dx

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

Q: Suppose that $2000 is placed in a savings account at an annual rate of 4.2%, compounded monthly.…

A:

Q: 15x²x³43x - 19 The integral (x + 1)²(x² - 6x + 13) Ax + B What is the value of dx ? ax²+bx+c 31 -…

A: Given integral ∫15x2-x3-43x-19(x+1)2(x2-6x+13)

Q: Write 20 terms of the Fibonacci sequence

A:

Q: The equation 2k² - 3k 10 = 0 has solutions of the form k N± √D M (A) Solve this equation and find…

A: The given equation,    2k2-3k-10=0

Q: Identify the surface that corresponds to the equation 100y^2 - 25x^2- 4z^2 = 1. O elliptic…

A:

Q: 7. f(x) = 3√x; [1,4] 8. f(x) = x-2/3; [1,27]

A: We can solve this as follows:

Q: Find the exact arc length of the curvex = 1 3(1² Enter the exact answer. L = + 2)² from y = 1 to y =…

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Q: b Sx³sin(2x)dx= [x²s(2x) dx = 27x²³ - 24 W 64 Given : Find bif s sbst

A:

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

A:

Q: Describe the long run behavior of f(x) AS I→ ∞, f(x) → ? v As → ∞o, f(x) → ? ✓ || H 2³

A:

Q: x²+x+1 Sa 2x²+2+3+x A B cb dx g(x) - dx = [Aƒ (x) − B ln(g(x)] + D fb da, and if A = ‚B <0, then dx…

A:

Q: . Consider the integral f sin ¹x dx. If we let u = sin-¹x and dv = dx, the integral can be written…

A: answer is in next step

Q: the graph of y = x³ - 6x² + 9x - 2 where the t

A:

Q: Find the integral of ∫(sin2x - cos2x)2dx. Use trigonometric transformation or integration by parts.

A:

Q: Find the area of region bounded by the graphs of the equations. a. X b. y = x + sin x y + 3 2 1+ -R…

A:

Q: Determine the number and type of solutions for the equation - 3x² + 14z 15 0 =

A:

Q: Describe the long run behavior of f(t) = As too, f(t) → ? v As t→→∞o, f(t)→→ ? - 4tº + 2t6-3t5+1

A:

Q: The IBP formula fudv-uv- - fvdu can also be written as fudv + ſ vdu = uv Which of the following…

A: Given that the four options  To find choose the correct option which is satisfi IBP formula

Q: o evaluate (In x)² +3 dx,

A: answer is in next step  option C is correct

Q: dy/dx of sec^2 (x^pi - pi^y)

A: To find the derivative of given function.

Q: Question 9 y Determine the domain of the function f(y) = (5y-4)²-81 Domain - [yy + } Write your…

A: For domain, we will check for what values function is not defined.

Q: Calculate the first, second, and third derivatives of 9 y(x) = 48 + x (Use symbolic notation and…

A:

Q: du du

A:

Q: A box with a square base and no top is to be made from a square piece of carboard by cutting 6 in.…

A: A box with a square base and no top is to be made from a square piece of cardboard by cutting 6 in.…

Q: = Consider the integral f sin-¹x dx. If we let u = sin¯¹x and dv dx, the integral. can be written as…

A: Explained below

Q: Consider the integral f sin-¹x dx. If we let u = sin ¹x and dv = dx, the integral can be written as…

A: The given integral,  ∫sin-1x dx

Q: Question 4 15x²x³43x - 19 The integral (x + 1)²(x² - 6x +13) Ax + B What is the value of ax²+bx+c²…

A:

Q: S 1 x√x²-4x-1 =dx = -Arcsin x √5

A: Topic:- integration

Q: 3. Using trigonometric substitution, what is 1 sec-²¹ ( 137 ) + √x²-9 2x² + C A. 1 300² (2) √²-90…

A:

Q: Find the arc length of the parametric curve. L x = 4 cos(t), y = 4 sin(t), z = 3t; 0≤t≤ T

A: Given problem:- Find the arc length of the parametric curve.   x = 4cos(t), y = 4sin(t) , z = 3t ; 0…

Q: 20 x³ dx (x²+4)5/2 (Use trigonometric substitution)

A:

Q: Find all real solutions of the equation 8m² -18-374. Write your answers as a list, using a comma to…

A: A detailed solution is given below

Q: Question 16 A line through (-1, -2) with a slope of -10 has a y-intercept at

A:

Q: Find the antiderivative F(x) that satisfies the given condition. F'(x) = 4ex - 5x²; F(0) = 10

A:

Q: f(x, y) = 3x² - y x4 x² + 2y ² 1 (x, y) = (0,0) 2 D (X,Y)= (0,0) 1 Determine if f is continuous at…

A:

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

A:

Q: Given The boundary of C: 0 ≤ x ≤ π,0 ≤ y ≤ sinx With Green's Theorem, Evaluate this line integral. $…

A:

Q: Determine the values of r for which the given differential equation has solutions of the form y =…

A:

Q: π/4 x² dx (x²+4)5/2 ST/4 (Use trigonometric substitution)

A:

Q: Using trigonometric substitution, what is f √x²_9 x3 A sec-¹(²) + √x²-9 2x² + C sec (-)- √x²-9 6x² +…

A:

Q: A= and B = . Find a vector perpendicular to both A and 2A - BO O O none of the above

A: A vector perpendicular to A and B is :  C = A x B

Q: Find f'(1) given that f(x) ax+b cx+d' where a, b, c, d are constant.

A: we have to find derivative.

Q: Find the inverse function of f(z)-1+.

A: