dy Given the equation below, find 21x + 2x¹¹y+y³ 24 dy da Now, find the equation of the tangent line to the curve at (1, 1). Write your answer in ma + b format y =

Q: ∫ sinx √cosx dx

A:

Q: d Calculate[r₁(t) · r₂(t)] and [r₁(t) × r₂(t)] first by differentiating dt dt the product directly…

A:

Q: Use the given derivative to find all critical points off, and at each critical point determine…

A: Follow the procedure given below.

Q: Determine whether each of the following series converges. (Make sure to state which test you are…

A:

Q: Consider the following matrix. -2 0 1 A = 1 -1 0 -1 -21 Choose the correct description of A. -1 Find…

A: Given matrix is  A=-2011-10-1-21 A matrix is non singular if determinant of the matrix is  non zero…

Q: Consider a triangle ABC like the one below. Suppose that A = 65°, B=55°, and c=40. (The figure is…

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. 10 S™ ||ti + 1²i|| dt

A:

Q: 1.) lim √5-x 2.) lim √5-x 1-5 3.) lim√√5-x

A: We have to find the limit.

Q: 3. The Bernoulli's form of the differential equation x³ydx+(3x¹-y³dy=0 is

A:

Q: PS. Evaluate fff(3x + 2y)dV, where S is the solid bounded above by the plane z=4, below by plane z=0…

A: Solving

Q: Find the volume of the solid generated when the area bounded by the curve y^2 = x, the x-axis and…

A:

Q: The outer diameter of a spherical tank measures 6 feet. If the tank is made with a material % inches…

A: Given problem:- The outer diameter of a spherical tank measures 6 feet. If the tank is made with a…

Q: Solve (5 + x²) Y 1 dy dx = x, and verify your solution. *+C Preview

A: Derivative

Q: 3. In evaluating the integral S x² dx (x-1)²(x²+1) you will decompose x² dx (x-1)²(x²+1) into…

A: No Partial fraction formula is incorrect. Actually it is, x2x-12x2+1=Ax-1+Bx-12+Cx+Dx2+1Multiply…

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: Given problem:- Use the method of cylindrical shells to find the volume V of the solid obtained by…

Q: Scos2x (2 cos2x-1) dx

A:

Q: Evaluate the line integral [39a²³yzds with respect to s along the 2 curve C: x = t, y t, y = t²,₁…

A:

Q: = √(2-x)². Use the local linear approximation of f(x) at xo = 1 to estimate 2. Let f(x) √0.99 (1.01)…

A: Let's find.

Q: dx 6x + x² V

A: To integrate by using the trigonometric substitution.

Q: Find the area of the region bounded by the given curves. Decide whether integrate with respect to x…

A: Given curves: y=ex, y=xex We have to find the intersection points of both curves Therefore, ex=xex…

Q: "alse 1. The absolute extrema for a function f(x) will occur wherever f'(x) = 0 2. The rectangle…

A: Topic:- function

Q: x²+4x+10 x3+2x²+5x dx

A:

Q: 3 5) S² x ² + 1 dx X+1

A:

Q: State the coordinates of the intercepts, stationary points, and the inflection point of p(x) = 2x³ -…

A: Here we have to use the concept of derivatives

Q: Jo (2x - y) dx + (x + 5y) dy. C: x-axis from (0, 0) to (0, -5) and (0, -5) to (3,-5) X Evaluate -30

A: Here we have to evaluate        ∫c(2x-y)dx+(x+5y)dy    C: x-axis from (0,0) to (0,-5) and (0,-5) to…

Q: Let m(x) be the slope of the tangent line to the curve y=x² x³ 2x² + x at the point (x, y). Find the…

A:

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. If it…

A:

Q: 2.S x² -4 X -dx

A: Note: Asper company guidelines, we are supposed to answer the first question only. Kindly ask the…

Q: Let S be the solid obtained by rotating the region shown in the figure about the y-axis. a=8 b = 4 y…

A:

Q: Find the equation for the tangent and normal lines for f(x) at the specified points. Show your…

A:

Q: Step 2 1 To find the integral S H x cos 8x dx by the parts formula, use u = x and v = Apply the rule…

A: This is a problem related to integration. Based on the general formula of integral by parts we will…

Q: An oil slick on a lake is surrounded by a floating circular containment boom. As the boom is pulled…

A:

Q: Consider the following. C: line segments from (0, 1) to (0, 16) and (0, 16) to (15, 15) (a) Find a…

A:

Q: A. Find the first partial derivatives of the given functions. 1. z = x³ xy² + 3y² 2. Find nd of if…

A:

Q: 4. Scot³ 2x csc4 2x dx = f cot² 2x csc¹ 2x cot 2x dx = f(csc² 2x - 1) csc4 2x cot 2x dx Let u = csc²…

A:

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: [ sin³(2x) dx

A:

Q: Evaluate the definite integral. NOTE: Enter the exact answer. S||ti + 1²j|| dt = |

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve C'is oriented counterclockwise.…

A: This is a problem related to vector calculus. Based on the general formula of green's theorem we…

Q: [in (w)² ]] 4 W dw

A:

Q: Show that the integral is independent of the path, and use the Fundamental Theorem of Line Integrals…

A:

Q: (3x+4)2dx Evaluate indefinite anti-differentiation

A: The given integral is (3x+4)2.

Q: Solve the differential equation with complete solution.

A:

Q: Explain Newton Raphson method of finding root of the polynomial.  (will leave a like)

A:

Q: ∫(4x3−12x)(x4−6x2)−3 dx Evaluate the following integral using substitution rule or integration by…

A:

Q: A company producing jigsaw puzzles has fixed costs of $7000 and variable costs of $4 per puzzle. The…

A:

Q: Find the interval of convergence for xn 5n 8 n=0

A: The given series,     ∑n=0∞xn5n

Q: Evaluate S (2x - y) dx + (x + 3y) dy. C: arc on y = x5/2 from (0, 0) to (4, 32)

A:

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…

A: Teddy got 87% in his Quarterly Assessment for Physical Education and Health. If there are 65…