Find the area of Triangle ABC if

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

A:

Q: lim (3a + x) x-3

A:

Q: Prove the statement using the , & definition of a limit. 6 + 4x lim x 1 = 2 Given & > 0, we need…

A:

Q: Consider the vector function r(t) = (t, t¹, t³) Compute r' (t) = (1, 4t³, 8t7 3 T(1) = ( r' (t) = (…

A: Recall:  T(t)=r'(t)r'(t)

Q: Find the differential equations of the following by ELIMINATING ARBITRARY CONSTANTS a. x Asin(wt +…

A:

Q: 3ax²-4b x-0 cx³-2m Evaluate lim where a, b, c and m are constants

A:

Q: The given equation has one real solution. Approximate it by Newton's method. x³-4x-10=0 Use your…

A:

Q: If student 10 is not selected, then student 5 should be selected how can I represent this constrain…

A: Given If student 10 is not selected, then student 5 should be selected

Q: multiply (2×+8y)^2

A:

Q: Calculate r' (t) and T(t), where r(t) = (2t - 7,2 – 5t, 3 + 5t). r' (t) = (2 T(t) = -5 5

A:

Q: Q3: A. Find Zxy if Z = f(u, v), u = x+y₁v=xy

A:

Q: 2. Let A be the following Matrix: [23³] • Compute the matrices A², AAT and A¹. • Find the numbers p…

A: Given matrix A=13-2-8

Q: Let the domain be the set of all positive integers: (1, 2, 3, ...). Are the following expressions…

A:

Q: Rewrite the given pair of functions as one composite function.(p as independent varible) g(x) =…

A:

Q: 7. дги + 0x2 аги ди + дуг т dz2 = 0.

A:

Q: uestion 1 Given: x² dy = 4x² + 7xy + 2y2, Find C if y = 1, x = 1 dx

A:

Q: Q6) Two quantities are measured with uncertainties, as follows: r = 5.6 ± 0.3 S = 2.1 ± 0.6…

A:

Q: Use the shell method to find the volume of the solid generated by revolving the shaded region about…

A:

Q: Solve the first-order differential equations using an appropriate method. Find a general implicit…

A:

Q: A rational function g has derivative -2(x + 3) (x - 1)³ g'(x) = (i) Find the x-coordinate(s) of the…

A: We have to solve given Questions.

Q: 6. f(x) = 3x² secx

A: 6). The given function is: fx=3x2secx   As we know that; The Power law: ddxxn=nxn-1 The Product…

Q: Find a vector equation and parametric equations for the line. (Use the parameter t.) the line…

A:

Q: The points (-3,6), (0,3) and (3,9) lie on the graph of a third degree polynomial function P. If the…

A: The 3rd degree polynomial is  P(x)  Since the points (-3, 6) , (0, 3) and (3, 9) lie on the graph of…

Q: K Evaluate each expression using the following functions. a. f(g(0)) a. f(g(0))= b. g(f(5)) c.…

A:

Q: 1 Dominick graphs the equation y = a|x| where a is a positive integer. If Gina multiplies a by -3,…

A: Given, y= a|x| When we multiply the above equation by -3, The new graph becomes, 1) Narrower and…

Q: Differentiate the function and simplify the result.

A: Finding the derivative of h(x)

Q: Q3: Th volume whose generated by revolving the region enclosed by the curve x = (y-2)² and the line…

A:

Q: Consider the helix r(t) = (cos(-1t), sin(–1t), 3t). Compute, at t= 픔 A. The unit tangent vector T =…

A:

Q: 2 Here is a graph of f(x) = x² and the line tangent to f(x) at (a,f(a)). The equation of the tangent…

A: Topic- Parabola and derivatives Slope of function  f(x) at x= a  is m=f'(a) and equation of tangent…

Q: an = √n² +5-n

A: Given, an=n2+5-n

Q: Q7: The area of the region inside the circle x² + y² = 4 and above the line y = x + 2 is expressed…

A: given curvesx2+y2=4y=x+2

Q: 3t² + 1 →7t² - 5t + 2 6. lim 1-7

A: The limit is given by limt→73t2+1t2-5t+2 To evaluate: The value of the limit.

Q: Find the average rate of change of the function over the given intervals. h(t) = cott a. b. л Зл 4 1…

A:

Q: 5. 6. 4-3/x lim X→+00 2+5/x lim X--∞ 7. lim X-+00 2/x-1/x² +5/x³ 4-1/x³ (3x/√√x²)+(4/√√x²)…

A:

Q: Find the indicated limit. lim (2t² - 5t + 1) t-8

A: We have to find the indicated limit.

Q: The height of a cylinder is increasing at a rate of 4 inches per second, while the radius is…

A: Topic = Volume

Q: (e) lim f(x) = X→4* T (f) lim f(x) = 0 X→4 3 (g) Select the correct choice below and fill in the…

A: As per the company guidelines We can first three parts  only. Please understand. Kindly repost the…

Q: Consider the function f(x) = x2 + 5x x³-25x Determine the number of discontinuities of f(x). x…

A:

Q: M y = e x ( ² ₁ + C ₂ x + C ₂² x ²³). c (3).

A:

Q: Find the DE by eleminating the arbitrary constants y = C1e^x + C2cos(x) + C3sin(x)

A:

Q: Use the Limit Properties to find the following limit, if it exists. +9 6x 7x-9 lim Select the…

A: Topic= Limits

Q: 5.f (x) = 2sinx – cosx + tanx

A: We have to find the step by step solution for the problem 5.

Q: dy Consider the differential equation secy + sin(x - y)=sin(x+y). dx Using separation of variables,…

A:

Q: 7. A plane flies with a velocity of 52 m/s east through a 12 m/s cross wind blowing the plane south.…

A:

Q: Find the average rate of change of the function over the given intervals. h(t) = cott л Зл 4' 4 a.…

A:

Q: Given: x2 O 1.5 O 2.5 dy dx = 4 x² + 7xy + 2y2, Find C if y = 1, x = 1 O 3.5 O 0.5 O None of the…

A: see below the answer and calculation

Q: (a) Find the slope of the curve y=x²-5x-4 at the point P(3.10) by finding the limit of the secant…

A:

Q: Let P(x) = x³ 3x² + 3x - 1 and Q(x) = ((x-3)x+3)x-1. Use three-digit rounding arithmetic to compute…

A:

Q: Find the integral. [e³² sin(62)da

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

A: Given x=2y+1, x=0, y=0 and y=2