If S x²+x-2 (x2-1)(2x-x²) dx AS + Bf f(x) dx + D f g(x) dx, then x dx can be resolved into A ...

Q: (b) the curve x = = y²-y-6 and the line x = = 2y + 4;

A: Given; x=y^2-y-6, x=2y+4

Q: Sketch the graph of f(x)=x² /x²-1

A: Graph

Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Given, f(x)=x24(1-x)

Q: • Find the sum of the following convergent series. lim lim lim tan ¹ (2n+ 1) - 346 11 11 11 [tan…

A: Given problem:-

Q: Which of the following is not true? (A) None of the given choices 3 dx dx Ⓒ = S B S³ = In(x²) lim c→…

A: All Option are  correct So we have to choose Option 'A'

Q: 3. Given that 2 = 6²¹ sin (u + ), e2v Use chain rule to find az/0x when x = 0, y = 0. u=e¹ - sin (y…

A:

Q: 2 a do (x + 2)²0 Using Simpson's method proper rounding off, no spaces) -dx for n=4 is equal to…

A:

Q: 1. Given: parametric curve H defined by r(t) = tan-¹ t and y(t) = e¹, where t € R (a) Find the slope…

A: Solved below.

Q: Which of the following is not true? Ⓒ √ 4dx √x(x+6) c lim dx ⒸS₁² 25² + x² ² m 25-x2 B dx c-5-0…

A:

Q: Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: Find the equation of tangent line and normal line to the curve y=2x-1 at x = 5.

Q: x6 cos(x³) (A) True (B) False |dx=0

A: We will solve the problem

Q: A B C d Using integration by parts, Then k is? (a)-1.5136 5²x² ²x³ cos (x²) dx = k - S²x - [*x…

A:

Q: The length of the hypotenuse is 11. a is the length of the side opposite the 10° angle and b is the…

A: Solution is here

Q: Find the area bounded by y=e*, y=lnx, x=e, the x-axis and the y-axis. (A) 13.1543 B) 13.1435 C)…

A: Given problem:- Find the area bounded by y=ex , y=ln(x) , x=e, the x-axis and the y-axis.

Q: Using Trapezoidal method √√x dx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: We need to use here, the trapezoidal rule.  ∫ydx = h/2 [ y0 + y4 + 2 ( y1 + y2 + y3 ) ]  For this…

Q: vy B. Find the derivative of function f(x, y, z) = 3e* cosxy + ex² + Inzx at point P(1,0,) in the…

A:

Q: Calculate the integral approximation S12 for Si ²1 dx. +1 S12 =

A:

Q: Find the area of the region bounded by the curves y=x4 andy=2x-x²

A:

Q: 7. Find the points on the curve y=-x where the tangent line is parallel to the line y= 3x

A: The points on the curve y=x33-x where the tangent line is parallel to the line y=3x

Q: 2dx E, is same as evaluating lim cos-¹(f(x)). Determine the value of f(x) if x=0.68 x√√x²-4 c-2+ In…

A: Given problem:-

Q: r 1 1 sing at Ø 元-6

A:

Q: Find the intercepts and the vertical asymptote of x²-2x-3 4 Enter the intercepts as points. (a, b),…

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. sin (2x - 6) sin(4x12)…

A:

Q: S x³ e ³x dx

A:

Q: All continuous functions are integrable. A) True B) False

A: Solution:

Q: For the function f(x)=4(2)^x -6, stars it's domain, range, and asymptote and then graph the…

A: We have to find the domain range and asymptote of the function.

Q: sin (8x) sin(x) dx

A:

Q: 2. Evaluate the following double integral by first reversing the order of integration. (6x-y) dx dy.

A:

Q: What is the domain of each part of the piecewise-defined function? (Enter your answers using…

A: Given that fx=-1.95x+25.90.535x2-1.58x+6.2Solution :Intersection point of piecewise-defined function…

Q: For the function y =f(x), it was found out that f(c) = 0. What can be said that x=c? O critical…

A:

Q: dx x+y cos x 1tsinx Ans: (1 + sin x)y + x² = c

A:

Q: A ladder 20 ft long rests against a vertical wall. If the bottom of the ladder slides away from the…

A:

Q: Problem 4. A rectangle is constructed with its base on the diameter of a semicircle with radius 5…

A: Given problem:- A rectangle is constructed with its base on the diameter of a semicircle with radius…

Q: True or false If cosh x = then sinh x=

A: We have cheek the statement

Q: 8. Find the point on the graph y = x³ where the tangent line is perpendicular to the line 3x +9y = 4

A: We have to find the point where tangent line is perpendicular to the line 3x+9y=4.

Q: sin(x) L²₁(x² - 4x² + 3x)2 Jax-0 |dx=0 1 (1+x²)² (A) True B) False

A: We have to find the integral

Q: 2. Given f(x, y) = 12x2x³ + 3y² + 6xy. (i) Find critical points of f. (ii) Use the second derivative…

A: To find out the critical points of f.

Q: Find the derivative of sin In x O sin(Inx)/x O cos(Inx)/x O cos(1/x) O sin (1/x)

A:

Q: 5. Find the limit, if it exists. If the limit does not exist, explain why. sin x- cos x (a) lim x/4…

A: According to the company rule we can answer only first question and rest can be reposted.

Q: Using Trapezoidal method Blank 1 0.34 2 So dx for n=4 is equal to 0.34 (use 2 decimal places with…

A: Given ∫012(x+2)2 dx To evaluate integral using Trapezoidal Rule:

Q: If you evaluate the integral expression 12x+1|dx the result is Blank 1 (use fraction or decimal in 2…

A:

Q: 5. fx √x + 1dx

A:

Q: Solve for x. O-1,-4 O -1,4 O 1,4 O 1,-4 x-1 3 2 x-2 =0

A: Given,      x-132x-2=0

Q: Assuming that a 380-foot tall giant redwood grows vertically, if I walk a certain distance from the…

A: I am about 286.3505 feet away from the base of the tree.

Q: Q2: Find Maclaurin series for the function f(x) = (4x) (four terms only), then find the error…

A:

Q: Find the complete solution of ds dt = 5t* √√s.

A: Given problem:- Find the complete solution of dsdt = 5t4√s

Q: Why did you take f'(x)=0 and from them I didn't understand, can you explain it a bit, its really…

A: We have to explain the term f'(x)=0.

Q: Suppose that ƒ is continuous and F(x) = g> 0, g'>0 and integrable on [a, b) and that lim g(x) = I-b-…

A:

Q: View Policies Current Attempt in Progress The vector (-1, 1, -2) is a solution of the linear system:…

A: We have determine the vector solution

Q: I the slope of the tangent line to the parametric curve X = 3 cos (t) y = 2 sin(t) ㅠ R 4 at the…

A: Given query is to find the slope of the tangent.