y = 10t² 10 S3 5+²

Q: Evaluate the given integral as indicated: Use Integration by Trigonometric Substitution x³ dx 5 (4x²…

A:

Q: Using Rationalizing Substitution · √ √x + 10 x+2√x +In(√√x-1)² +C °√x (√x + 4) + In (√x - 1)² +C…

A:

Q: Find the indefinite integral. 1 dx 3 (x²+9) 2 a. b. C. d. x² 9√x²+9 +C +C 9√√x² +9 x 9√√x² +9 x² +C…

A:

Q: Find the point of intersection of the terminal side of the angle 11 with the unit circl 6 Ⓒ (-1/2/3…

A: Solution:

Q: What is the slope of the tangent line to the graph of x^2-4y^2 + 2x + 4y = 8 at (4, -2)?

A: According to our guidelines In case of multiple questions we are supposed to answer the first…

Q: Compute the total area A of the (infinitely many) triangles in the figure, if the height h of each…

A:

Q: 5. Find the partial derivatives with respect to x of the function: xy² - 5y +6 a. y²-5 b. y² C. xy -…

A: We have to solve partial derivative with respect to x As per Bartleby  guidelines we have to 1…

Q: 3. Let R(t) = (t²,1 — t², t) and r(t) = cost. Determine the parametric equations of the line tangent…

A: Given

Q: √x+1 - dx = y² + 4y+ 4in(y-1) + C, express the final answer in terms of x- √x-1 Using Rationalizing…

A:

Q: The equation N (t) 600 models the number of people in a town who have heard a rumor 1+49e-0.7t after…

A:

Q: The volume of y = (3x+1)+,x=0, x=8,y=0 O (28/9) TL O (26/3) T O (1372/9) O (248/9) m 6 and x = = 2y

A:

Q: A producer has determined that the revenue generated from the production and sale of x units of a…

A:

Q: 5. Given the Standard Equation the DE, Identify the roots * d²y d³ y dx³ dx² + dx - 2- m: 1+ √2,0…

A:

Q: x²-16 Given a proper rational expression (x-2)²(x+2) (a) Decompose the proper rational expression…

A: a.

Q: Find the area bounded by each of the following curves. Draw a graph and show complete solutions.…

A:

Q: The graph of y = f(x) is given. 6- 5 4 3 2 6-5-4-3 -2 -1 -3 -4 -6- 1 2 3 4 5 6 a

A:

Q: Set-up the integral using horizontal element for the volume of the solid obtained by rotating the…

A: We have to find volume about y=-1

Q: Tim X+0¯¯ [(x² - In (x + 1)) cotx]

A: We have to solve useing L’Hôpital’s Rule

Q: 0# 7' 7P VE 1-₂72 +67

A: topic - indefinite integral

Q: -1 33x So 43x dx 0 O 0.6698 0.6670 O 0.6699 0.6671

A: Solving the definite integral by using substitution.

Q: Suppose csc(x)= = √43 A 5 34 B 5 43 - 5 -√34 5 √34 and cos(x) <0. What is the value of sec(x)?

A: This question is related to trigonometric ratios, we will solve it using given information.

Q: The area in the first quadrant bounded by y = x², the circle x² + y² = 2, and the x-axis is equal to…

A: We have to find the value of a and b.

Q: Evaluate the integral:: 1. § 4+0²³²- dz e² · cos³x + 8 sin x cos²x + 6 sin²x dx ; cos x ‡ 0 2.5.…

A: We have to find value of given Integral.

Q: 9) (x - 2)² 16 9 (x+5)² ¸ (v+3)² _ 1 = + 25 16 +(y-1)² = 1 11) 2 x² X 13) 121

A:

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

A: Volume of solid.

Q: d'y day + dx5 dx4 y = (C₁+C₂ + С3) ex +C4e²x+C5e-3x y = Cıe2* +Czxe-3x +C3е* + С4е* + С5е* OA) Ō d³…

A:

Q: THE AREA BETWEEN THE CURVES 2 4y = x² AND Y²³ = 4X 15 REVOLED ABOUT THE LINE X= -1. SOLVE FOR THE…

A:

Q: Assume the acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+1 y=0, and x=2 24π C.U.…

A: Answer is 9π c. u.

Q: Use substitution to find the indefinite integral. 16t-8t² dt (1-1) e 16t- ... Describe the most…

A: Solve the following

Q: In Exercises 1-3, find the solution of the given IVP. 1. d²y dy +4 dt² dt 5y = 0 2. y(0) = 11, y'(0)…

A: Please re-upload the other two questions.

Q: Set-up the integral for the area of the plane region bounded by y=x+4 and y=x²-2x S^(-x²+3x+4) dx -1…

A: We have to find integral

Q: -1 33x 0 43x dx

A:

Q: termine the derivative of the following implicit function on a separate sheet paper, assuming that…

A:

Q: Evaluate the integral and check your answer by differentiating. NOTE: Enter the exact answer. 8 [+][…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y=x+ 1 y=0, and x = 2 9π…

A:

Q: ch among the equation represents the coefficent + 2 = (A + B + C)x² + (−A + B − 2C)x + -A+B-2C = 3…

A: We have to choose the correct option from the given options according to the given information

Q: Evaluate the given integrals. Please Show the complete solution. Then identify the u, du, and other…

A:

Q: a point of intersection on the unit circle whose x coordinate (3/3₁-3) (-/-/-/-) 5'5 2√6)

A: Given query is to find the intersection point.

Q: Evaluate the integral: √ S - (9x²+7x) (x−1)(x+1)² dx = ← +C

A: Given; I=∫-9x2+7xx-1x+12dx   As we know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C And…

Q: Using Rationalizing Substitution 5y+5+ 5 y-1 6 6y+6+ y-1 6y²+6y+6+ 1 y²(y-1) 6 y-1 .729 dx 64 √x-3√x…

A: We can solve the given integral.

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A:

Q: The volume of a cylinder of height 12 inches and radius 7 inches is given by the formula V = 12π².…

A: We have to slove the derivative

Q: Find the derivative of: -5e-3 cos(5x). [Hint: use product rule and chain rule!] Use e^x for e. 4…

A:

Q: Let C(x) be the cost to produce x batches of widgets, and let R(x) be the revenue in thousands of…

A: Solve the following

Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x

A:

Q: The area between the curves f(x) = x², and g(x) = 1 O 1/2 sq units O 1/4 sq units 4/3 sq units 1/3…

A: Topic:- application of integration

Q: particle moves along a straight line with equation of motion s = f(t), where s is measured in meters…

A: Topic:- application of derivatives

Q: Set-up the integral using vertical element for the volume of the solid obtained by rotating the…

A:

Q: Determine the derivative of the following implicit function on a separate sheet of paper, assuming…

A: Given 2bxy=3ax2-4y3To find derivative dydx: