1. If f(x) = sinx, show that f(x + y)-f(x) = cos x siny - 2 sin x sin² 2 2Y-T

Q: 7. Given: (2x f(x) = (4x² if x > 11 if x ≤ 1 What could be the possible value of 1₂ f(x) dx |? a. 5…

A:

Q: Find the area of the region bounded above by y = -x² + 4 and below by y = x - + 54-324 2,345 ມາຜ່າ !

A: We are asked to find the area of the region

Q: A Ferris wheel is 57.85 m tall and has a diameter of 54.4 m. What are the dimensions of a scale…

A:

Q: What is the equation of the tangent line to the curve y = √2 +16when x = 3? V x-10y +47=0 3x-25y-116…

A: SOLUTION-

Q: d.w. Find the lengths for the - r = 1 + cosa

A: Given: r=1+cosθ

Q: Solve the given differential equation by separation of variables. dP = p - p² dt P ||

A:

Q: 32 Which one of the following is the general antiderivative G(a), for g(x) Note: CER Select one…

A:

Q: Assume and y are functions of a third variable t. If xy = 30 and 0-6 0-30/5/20 O-12 0- 10, find dt…

A:

Q: What is the lim, 0+ sin(y) In(y)?

A: limy→ 0+sinylny=limy→ 0+lny1sinyBy L'Hopital's rule,=limy→ 0+1y-cotycscy=limy→…

Q: Solve the following initial value problem using Laplace transforms. d² y dt² -9y=4e³¹; y (0) = 0,…

A: d2y/dt2 - 9y =4e3t; y(0)=0, y'(0)=-1.

Q: 30. Determine if the integral dx is convergent or divergent c. Neither a. Convergent b. Divergent d.…

A:

Q: Given the graph below, what can you say about the function at x = 1? 10 -10 Continuous Not…

A: The objective of the question is choose the given function is continuous or discontinues at "x=1".

Q: e2x (x²-4) Given: y = Determine the following: a. Symmetry b. Intercepts c. Vertical Asymptote/s d.…

A:

Q: 니 - ****** سر ** x² coscyldy dzdx

A:

Q: Evaluate the given limit. Show your complete solution. limo(-x ln(sin(4x² + x)))

A: The given limit is limx→0-xlnsin4x2+x. We have to solve the limit using L'Hpotial's rule.

Q: Consider the initial-value problem y' + exy = f(x), y(0) = 1. Express the solution of the IVP for…

A: Given:- y'+ex y =f(x) , y(0) =1  Find:- Express the solution of the IVF for x>0 as a non…

Q: 1-5th gaase rsino drdo

A:

Q: 24 The following limit gives the derivative of a function f(a) at a point zo: √8th-2 lim h 0 h

A:

Q: Find the integral. [col³ (x) csc ³¹ (x) dx (Use symbolic notation and fractions where needed. Use C…

A:

Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

A:

Q: Find y' y = 5x² + a4

A:

Q: 12. The graph of y=x² between x=1 and x=3 is rotated completely around the x-axis volume generated.

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: What limit law is used in the given below? lim (5x + 2) = lim (5x) + lim (2) x →1 x →1 x →1 Addition…

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

Q: A triangle is measured and two adjacent sides are found to be 3 inches and 4 inches long, with an…

A:

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3, 3] is sho below:…

A: Here, the function is continuous on: (-3,-1)∪(-1,3)

Q: What is the derivative of y = (3x + 1)? 21 dx dy = 6 (3x + 1)²¹ dx 6 (3x + 1)² dy dx = 7 (3x + 1)6…

A: To find the derivative of the given function

Q: Convert ₁(4-4x²-y2)dyda into a triple integral with dV = dydzdx.

A:

Q: The area bounded by the parabola y2 = 4ax, its axis, and its latus rectum revolves  about the x-

A: Given: y2= 4ax

Q: Find the exponential function f(x) = Cbx whose graph passes through the points (1, 6) and (3, 24).

A: To find the exponential function satisfying the given conditions.

Q: Given a function, Based on the function, 2s +3 F(s) = s² -2s+25 a) Determine f(t). b) Based on…

A:

Q: 24 The following limit gives the derivative of a function f(x) at a point zo: lim h→0 √8+h 2 h Which…

A:

Q: dx (x² - 64)² = 256 + x + 8 256 + x-8 2048 In (x+8) - -In (x-8) + C 2048

A: Follow the procedure given below.

Q: (i) f(t)= est+cos 4t

A: According to company's rules, I need to solve first question when multiple questions are posted...…

Q: Question 6c. Consider the region enclosed by the functions f(x) = √√x and g(x) =−x√x+2√x c) Find the…

A: Topic = Area

Q: y=xe

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: What is f 5√xdx? 3 f 5√√xdx = 5x² + C 2 3 f5√xdx = 10x² + C 3 f5√xdx = 5x² + C 3 [ 5vxdx= 5x? +C

A: Let's solve given integral.

Q: Question 5 What is the limx→ [(ln(2x - 4)) - (ln(x+3))]? If your answer is a Whole Number Fraction…

A: limx-infinity [ln(2x-4)-ln(x+3)].

Q: A solid has a base in the form of an ellipse with major axis 10 and minor axis 8. Find its volume if…

A: Given that, A solid has a base in the form of an ellipse with major axis 10 and minor axis.

Q: 10 Let u= (1, 2, -1) and v= (3,-1,2) be two vectors in Rª. Which of the following is a normal vector…

A:

Q: For the following exercises, draw the region bounded by the curves. Then, find the volume when the…

A:

Q: Instruction: Evaluate the following Integrals. Write your COMPLETE solutions neatly and organized.…

A:

Q: Find the indicated partial derivative. f(x, y, z)=euz²; fzyz fxyz(x, y, z) =

A:

Q: Give a general solution of the differential equation y"–9 y = −2t cos 3t

A:

Q: 2. 2y² SS dxdy 1 y

A: Disclaimer: Since you asked multiple question,we will solve the second question for you. if you want…

Q: dx What is , where dy' x³ + y³ = 3xyusing differentiation? implicit dx dy y-x² y² +x dx y-x y²-x dy…

A:

Q: Evaluate the line integral F(x, y, z) = (x,-z, y). Jo F. dr where C is given by r(t) = (2t, 3t,…

A: We will use concept of parameterization to solve this.

Q: X3-4X Which of the following graphs represents the function 1(x)=2x²+2x-4 -? 5 1 2 f(x) O O 4 7

A:

Q: Find the area under the graph y = x 3 on the interval [1, 8]. 1 2 3 4 5 6 7 8 9 -NW 01 5- 4 3 2 क्त…

A:

Q: Q1: Find the Fourier coefficients and Fourier series of the triangle function f(x) defined by

A:

Q: FIND y' ● 5x³3y5 = 4x²y + 10

A: