R(t) = (2 ln|sec t], sin 2t, cos 2t) Find the distance travelled by a particle along the curve defined by R from t = 0 tot = 3.

Q: If f is continuous on [a,b], then f(x)dx= π + A) True B) False f(x) dx

A: We will find the solution.

Q: 37 Find the length of the arc of a circle of diameter 8 meters subtended by a central angle of…

A:

Q: Trapezoidal method Quar x³dx for n=6 is equal to Blank 1 ("

A: Please refer to the image below

Q: If f is continuous on [a,b], th then (A) True B False [Ttf(x) dx = π * f(x) dx

A: The solution is given in the next step.

Q: In evaluating x=3.98. dx x²-9 is same as evaluating lim (In(f(x))). Determine the value of f(x) if…

A: First we evaluate f(x) using substitution

Q: Find the intercepts and the vertical asymptote of Enter the intercepts as points, (a, b). The…

A: To find the intercepts and the vertical asymptote of the following rational function.fx=x2-2x-3x-4

Q: To integrate x3 exdx, we apply integration by parts and in the form u dv, dv is set as: O ex dx O…

A: We have to find the dv

Q: 7. fcsc (3x) • cot (3x) dx csc(3x) A. + C B. -csc(3x) 3 + C C. -3 csc(3x) + C

A: As per guidelines we can answer only one question at a time, so if you need more answers kindly…

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: 5. Given that W 8.25 √y The value of x,y and z are measured with maximum percentage error of 1%, 2%…

A: Let's find maximum percentage error in w.

Q: State the domain, vertical asymptote, and end behavior of the function. g(x) = ln (6x + 12) + 1.3…

A: Domain of a function:-  Set of all values of independent variable such that function at that point…

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: 1. J x + 2)* dx A. (x + 2)6 + C О А о B о B. 6(x + 2)6 + C (x+2)6 6 + C

A: As per guidelines we can answer only one question at a time, so the first question can be solved as…

Q: Which of the following is not true? A None of the given choices .3 dx dx S₁ in (x²) B lim S c+1+³c…

A: Let's solve.

Q: A particle is moving along a line in such a way that v centimeters per second is the velocity of the…

A:

Q: 2 -dx for n=4 is equal to Blank 1 (use 2 decimal places with (x+2)² Using Trapezoidal method S…

A:

Q: Using Simpson's method 1 √xdx for n = 4 is equal to Blank 1 (use 2 decimal places with proper…

A: using the simpson's method ∫01xdx for n=4.

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.

Q: C. Find the volume of the solid obtained by rotating the region bounded by y = -10 + 6x-x², x = 1…

A:

Q: If you evaluate the integral expression S 4x +3|dx the result is Blank 1 (use fraction or decimal in…

A: The integration of the integral is |4x+3| limit from -1 to 1.

Q: Find the area enclosed by r = = √2 sin 0 and r2 = cos 20.

A:

Q: 9. y(y² + 1)dx + x(y²-1)dy = 0 Ans: + xy = c

A:

Q: 4. f(x) = 4x cosh 3x x² ; f'(2.7)

A:

Q: Iff is continuous on [a,b], then [xf(x) dx = x = xf²f(x) A True B) False f(x) dx

A: We will solve the problem

Q: Show

A: Please refer to the image below

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

A: We have to integration

Q: Find a particular solution of ds 1 dt =cos-t determined by s=3 when t == 2 3 wha

A: Given ,    dsdt=cos(t/2)

Q: I want to know how to find the value of t ( ۱ - له ره + X \ = (2 + ) ه .. -۱۱- ۱ (۱۰) اهره + + t

A:

Q: en fr f(x) dx = √² Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b], then A True…

A:

Q: Given: parametric curve H defined by x(t) = tan¯¹t and y(t) = e¹t, where t € R (a) Find the slope of…

A: Given that parametric curve H defined by x(t) = tan-1t       and    y(t) = e4t , t ∈R           we…

Q: 5 dx In evaluating 1 is same as evaluating lim (In(f(x))). Determine the value of f(x) if x=5.91.…

A: ∫ 351x2-9dx

Q: Using Simpson's method 2 x³dx for n=4 is equal to Blank 1 (use 2 decimal places with proper rounding…

A: The Simpson's 1/3 rule for integration is given by, ∫ab f(x)dx≈Δx3f(x0)+4f(x1)+2f(x2)+4f(x3)+2f(x4)+…

Q: 1. f(x + 2) ³dx A. (x + 2) + C A О в O 2. fe²x+1dx A. ²x+1+C O A. B. O C. B. 6(x + 2) + C B. e2x+1+C…

A: Here is the solution:

Q: I z2+ 8z + 12 f(z) = a) Give the domain of f (in interval notation) b) Find the critical numbers of…

A: Disclaimer: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 4. Find the equation of the tangent lines to the curve y = √x and perpendicular to the line 14x +…

A: We have to find the tangent

Q: x4 +1 x³+9x -dx

A:

Q: Find f. f(t) = 5e¹ - 6 sin(t) — 5 f"(t) = 5et + 6 sin t, f(0) = 0, f(π) = X 0

A:

Q: Area of the Region and Volume of the Solid of Revolution Given: The region is bounded by the curves…

A:

Q: A company produces computers. The demand equation for this computer is given by p(q) = -5q + 6500.…

A:

Q: 7. Find the limit, if it exists. If the limit does not exist, explain why. (a) lim sin (2x6) sin(4x…

A: Explanation of the answer is as follows

Q: ND THE AREA BOUNDED BY THE = x(x-1)², y-AXIS, AND THE =12

A:

Q: True or false 1. √2 If cosh x = V, then sinh x = 2. It is possible for a function to have an…

A: Here we have to determine whether the statement is true or false.

Q: Find Vector A and B such that A is parallel to , B is perpendicular to and A + B =

A:

Q: Find the average value of f(x, y) = sin(x + y) over a. The rectangle 0≤x≤ 1,0 ≤ y ≤ n b. The…

A:

Q: | dx= - 3 J A) True B) False m|m

A: Topic = Integration FALSE

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: Let x = 11t², y = 9t6 - 2t². d²y Determine as a function of t, then find the concavity to the…

A:

Q: A projectile is fired vertically upward with an initial velocity of 210 m/sec from a point 2 m above…

A: topic- algebra

Q: Find the surface area if C = {(x, y): 1 ≤ x ≤ 2,y = about the x-axis.

A:

Q: 11 lim 348 n=0 tan ²¹ (-1) + tan²¹²¹ (1) - tan¹ (2n+1) - tan²¹ (2n + 3)] ??

A: To explain the circled part.