Set up an integral which calculates the total distance traveled by the drone between t=1 and t=2? (Do not evaluate the integral.)

Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: dr Find de dr ӨР r=2-04 sin 0 C

A:

Q: f(x) = (2x³ + 8), (1, 100)

A:

Q: Work of 1 Joules is done in stretching a spring from its natural length to 11 cm beyond its natural…

A: Given: Work done, W = 1 Joule Strech of the spring, x=11 cm = 0.11m   Now, The spring constant is…

Q: •24-x2 신 0 0 -4-y 0 x dzdydx

A:

Q: Prove that for any positive integer n, 4 evenly divides 32 -1.

A: Let's prove that 4 evenly divides 3^(2n) - 1.

Q: 17. f(t) is the graph shown below and g(x) = f f(t)dt. Find g(0), g(1) and g(4). D 2 3

A: Let's find value of g(0),g(1) and g(4).

Q: Evaluate each of the following expressions using the given table of values. 3 4 5 7 6 5 3 4 7 6 5 5…

A: we need to find out the values of the composite functions.

Q: Find the Binomial series for 1 (1+x)²

A:

Q: What is the Remainder R, when ƒ(x) = is divided by (x + 1)? 20 16 22 30 30 4x³ + x² - 3x + 2 3 =…

A: To find the remainder

Q: Suppose that an automobile's velocity starting from rest is v(t) = lecimal place. O 3.3 ft/sec2 O…

A: Acceleration

Q: Differentiate the function. f'(x) = f(x) = sin(7 In(x))

A: Given,           fx=sin7 lnxTo find : Differentiate the function.

Q: Find the standard form of the equation of the ellipse satisfying the given conditions. Endpoints of…

A:

Q: Integrate using u-substitution or 2 guys in Jail. fx sin(2x²) dx 5. (4x³-2)7 (24x²)dx

A: (4)   I=∫xsin(2x2)dx∫sinxdx=-cosx+cdxndx=nxn-1

Q: -t g(x) = f* e²²-¹ dt Sx

A:

Q: A) O B) i C of 4) Given g@=2, g'(3)=3, * P(x) = [90] 2, then P'(3) equals; A) 4 B) 6 c) 9 D) 12 E)…

A: Given; g(3)=2, g'(3)=3, p(x)=[g(x)]2.

Q: Consider the function f(x) = 6x2−4x+ 5 and the interval 1 ≤x ≤6. Find the number c that satisfies…

A:

Q: Which of the following statements are true by the comparison test? A. The integral 5 da diverges…

A:

Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

A:

Q: Find the Equation for the Graph of a Logarithmic Function (-4,3) (2,4)

A:

Q: Find the slope of the tangent line to the curve x=t+ 1, y=2t² + t -1 at t= 1.

A:

Q: Differentiate. f'(t) = f(t) = 8t t³t-1

A:

Q: 11 . (870), they y equals; c) 3 mx 7) + y = x² lux, (X>0), they q) 3+hX D) 3+3nX B) 3+2nX E) 2+X+X

A:

Q: Solve the initial value problem dy € + ² = 5x√ỹ, _y(1) = 2.

A: standard form is dydx+p(x)y=q(x)given  dydx+yx=5xydivide by y  both sides 1ydydx+1x×yy=5xwe know…

Q: Find the general solution of the homogeneous differential equation (D³+2D²+D+2)y=0

A:

Q: So Lov (x + y) dy dx to polar coordinates. a. Convert the integral b. Evaluate this integral. Hint:…

A:

Q: A particle that started at the origin and is moving along the x-axis has a velocity function given…

A: We need to find out the position of the particle after 39 seconds.

Q: (c) sin 13л 15 COS Зл 15 COS 13п 15 sin 3п 15 Answer: sin 10п 15 = sin (2) 3 2п √√3 =

A:

Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.

Q: Express the following limit as a definite integral. n 1 lim Σ -Ax where P is a partition of [2,4]…

A:

Q: Find dy dx by implicit differentiation. x²+2x+11xy-y²= 16

A: We have to find dy/dx.

Q: 28-30) Given f(x) = 2x + 3 and g(x) = 3x + 5 28. If P(x) = f g then P' (2) = 29. If D(x) = then…

A:

Q: a. b. C. 1 2 3 456789 Find the domain. Find the range. Find the values of x such that f(x) = 6. *=*

A:

Q: Consider the following matrix. 3 0 19-3 62 13 44 1 8 8 30 12 0 0 00 (a) Find the dimensions of the…

A:

Q: Consider each function to be in the form y = kx, and identify k or p as requested. Answer with the…

A: Given function:- y=2x

Q: $5,000 is invested for 5 years at 8% compounded quarterly, how much interest (in $) will be earned?…

A: Given query is to find the interest earned.

Q: Find the exact value of cos( O 1 V2 O √3 2 0 -13 O 12 2 큼 -9 4

A: We can find the exact value in the below steps.

Q: O A. No, since we have only shown that Sk+ 1 satisfies the statement. OB. No, since we must show…

A:

Q: Use the graph of f(x) - 1 below to find a number & such that f(z) - 0.5| < 0.2 whenever 0 << |z2|<…

A: Graph

Q: Let f(x)=2 ta(a), Find f'(z). f'(z) -

A: Given query is to find derivative.

Q: Identify the following equation without completing the square. 6y² - 4x + 2y +21=0 The graph of the…

A:

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: we will find the required.

Q: d) xy' + (1+x)y=e* sin(2x)

A:

Q: (a) Show that helpful). (b) Evaluate lim x-0 coth x dx = log sinh x| + c. (Hint: you may find the…

A: Integration using substitution

Q: Use the chain rule to find the derivative of 3 10√/2r³ + 10x¹0

A:

Q: Differentiate the function. F(t) = (3t - 5)² F'(t) =

A: Let's differentiate given function.

Q: 9. Use the comparison theorem to show that So L'√T- 10. Find √1 + x² dx ≤ Also show that ²√1 + x dx…

A:

Q: The farmer knows that the area of the rectangular enclosure must be at least 400 square meters. This…

A:

Q: Find the particular solution of the D.E. y "+ 3y + 2y = 4e° = 4e* ON =e* 2 Oy₁ = / = Ae* + B

A:

Q: -X 17) y=e^· cos(2x); dy = ? -X A) -ex (cos 2x + 2sın 2x) B) e (sin 2x- ccs 2x) c) 2ex Sin (2x) -X…

A: Given:- y=e-xcos2x