2. By integration, show that the area of a circle of radius r is A = rr?

Q: Use linear approximation to approximate e.03 О 1.03

A:

Q: Solve for x: log(x) + log(x + 3) = 2

A:

Q: dz Determine whether the integral converge (and evaluate to what it converged) or diverge: Jo 5-z A.…

A: The given integral is: I=∫05dx5-x If its value is finite then it converges to that value otherwise…

Q: Supply the missing integrand and the limits of integration sinx dy dx _dx| 1– y² dx (x=1) dx

A: This question can be solved using the concept of double integration.

Q: sin(n) is conditionally converger 4. Determine whether the series E-1 absolutely convergent, or…

A: We have to find the series test

Q: 11. Given the functions: g(x) = tn(4 – x) and h(x) = 4 – x² find and simplify the following: (a) h(x…

A:

Q: Use the specified substitution to find or evaluate the Integral. 3. dx Vx(1 + x) = Vx

A:

Q: Find the standard equation of an ELLIPSE with FOCI (3, ±2)and MAJOR axis with length 8. A. + = 1…

A:

Q: y = e from x=0 to x=1

A:

Q: Convert to a rectangular coon 12. (3,*)

A:

Q: lim X→1 X-1 Inx

A:

Q: 1 3c+6+2 J +3z+2 Evaluate:

A:

Q: Evaluate the given integrals. 1. ſ cos v2x dx 2. fx a*dx

A: Please see the answer below.

Q: 11.. Compute the area of the shaded region in the graph below. The region is the area of overlap…

A: Given two curves; r(theta)  = cos(3theta) and r(theta) = sin(3theta).

Q: Solve the following equations system 0.17 – j0.2V, =1 - j0.2V, +(0.2+ j0.3)V, = j0.5 V,= 3.3333 +…

A:

Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its…

A:

Q: dy 3. If y=u 3 and u = 4x2 - 2x + 5, give dx dy 4. If y=u? and u = x3 + 4 determine dx

A:

Q: Use calculus to sketch the graph of the given function. (c) f(x) = 3 – (x +1)³ |

A: The given function,     fx=3-x+13

Q: The general solution of (D²+2D+1)(D²+4)y=0 @ -+Ceª A y=(C,+Cx)e*+C;e B none of the given choices ©…

A: We have to find out the solutions

Q: A spring has a natural length of 15 inches. A force of 10 Ibs. is required to keep it stretched 5…

A: for F = 10 , x = 5

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: topic- slope of the tangent line at given value of x

Q: 14. Re-write the equation f (x) = x² – 10x + 16 in vertex form. Note: the author of your textbook…

A: Given:      fx=x2-10x+16   Set the polynomial equal to y to find the properties of parabola.…

Q: Evaluate: sin 6x sin 3a da A. 0 в. - В. 2 C. - :- С. 2 D.

A: SOLUTION-

Q: Consider the following limt. lim - (x + 5) Find the Iimit L. (a) Find 8 > O such that |fx) - L| O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Cors ider the function. tx) - x-2 (a) Find the Imverse function of. (b) Graph f and on the same set…

A:

Q: find area between line y=-2+x and y=x^(1/2) and x-axis 26/4 O 23/6 O 36/2 O

A: Question- Find the area between the line y= -2+x and y=√x  and x axis.

Q: rcos(x) V1- t2dt d (32) Find the derivative: dx 1

A:

Q: ... Supply the missing integrand and the limits of integration -2 csinx dy dx _dx| %3D V1- y? 2 (x-…

A:

Q: Find the linearization L(x) of the function at a.

A: Use the derivative for finding the linearization of function

Q: What is the range of the tangent function y=tan(x)? A R B [- 1, 1 [0, + ) D (- 00, 1]U[1,+ ∞)

A: Tanx is the ratio of sinx and Cosx

Q: What is the exact value of cos(2u) if cot (u) = where sin(u) <0? 12 (A 37 35 B 37 12 37 35 37

A:

Q: In point P(-6,-8,8), express that vector that extends from P to Q(8, 6, -1) in: a. rectangular…

A:

Q: Let f(x)=x+2 A Find the linear approximation of f at =7 In other words, find the tangent line to the…

A: This question can be solved using the concept of linear approximation of a function about a point.

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: 1. Find the area bounded by: y=x³+1 and y=x+1.

A:

Q: 2. a“y dx2 dy + 42+ 3y = sin(x) + 2 cos(x) dx

A:

Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

A:

Q: (29) Evaluate the integral: csc² rdx. r/4

A:

Q: +2D+2)y = e csc x

A: Solution: (D2 +2D +2)y = e-xcsc(x)

Q: D9/2.c

A:

Q: 16. If r'(t) is the rate at which a water tank is filled, in liters per minute, what does the…

A: topic- derivative and integral

Q: Q5: Solve the following differential eauation using Laplace transform 2. y' = y1 + 3y2, y = 4y, –…

A: answer is in next step . please give a like.

Q: VIUEU EXBipie To llustrate the Mean Value Theorem with a specific function, let's consider f(x) = x3…

A:

Q: Converting 1530 degrees to radians will correspond to which value? 19n 3 201 B 3 29Tt

A: The value of θ° to radians is given by        ∅ = θ×π180  radians

Q: 2tan 'x -x lim,0 2x - sin'x

A:

Q: B. Directions: Compute the definite integral of the following functions using the Substitution Rule.…

A:

Q: (x-1)" Find the radius and interval of convergence:

A:

Q: Find dy/dx by Implicit differentiation. x = 7 In(y-24), (0, 5) dy %3D dx Find the slope of the graph…

A:

Q: ind the maximum product of two positive numbers given that the sum of the umber and twice the second…

A: Please refer to the image below

Q: 4. S cot?x csc x dx

A: Note: As per company policy we are supposed to solve only 1 question. So, kindly repost other…