16-X - 13 - 13 10-x x E 10 = 3.66 m

Q: Find equations of both the tangent lines to the ellipse  x2 + 7y2 = 63  that pass through the point...

A: consider (x0 ,y0) be an any point on ellipse 

Q: By direct differentiation, find f(x) where flz) = 3x-2

A:

Q: Use the difference an+1 – an to show that the sequence {n – 4"to0 is strictly increasing or strictly...

A:

Q: In the 2000 U.S. Census, a small city had a population of 55,000. By 2010, the population had reache...

A:

Q: 4. An analyst has found that Granny's Surf Board Company monthly profit function is: P(x)=-0.05x2 +5...

A: Solution: P(x)=-0.05x2+50x-2000

Q: For the function: f(x) = 4x – 1, find f(z) – f(a) a. Preview f(z +h) - f(x) b. Preview %3D

A:

Q: The total cost (in dollars) of producing x food processors is C(x) = 2200 + 40x – 0.5x2. %3D (A) Fin...

A:

Q: Consider the function f(x) = x* – 72x² + 10, – 5 < r < 13. %3D The absolute maximum of f(x) (on the ...

A: topic - functions and application of derivatives

Q: Three edges of a right triangular prism are defined by the vectors à= [1, 3, 2], b=[2, 2, 4), and = ...

A:

Q: 25. Evaluate the following definite integrals. c) Li VIXI – x dx dy d) L (y+2)3 e) L, 3wv4 – w? dw

A: there are 3 separate question but according to bartleby guidelines i am supposed to solve only 1  

Q: Evaluate the integral. 2 dx 5 Vx (3 +2x)

A: We will solve the integral by substitution method. By (3+2√x)=t

Q: dz Use the Chain Rule to find dt for z = x2 + y2 + xy,x = sin t , y = e'.

A: z=x2+y2+xy ; x=sint , y=et

Q: The possition function s(t) = -16t² + 350 Find : (a)average velocity over the time interval 2. %3D [...

A:

Q: How will you know if a function increases and decreases and how will you locate the maximum and mini...

A: Let y = f(x) be any function given   

Q: 1. Find the point on the graph of f(x) = x -8x – 5 where the tan gent line is horizontal. (SLOPE = 0...

A:

Q: 12. Solve the following inequalities. a) -7x + 8 < 4x - 2 b) (3- 4x)(x + 1)(7 – 2x) <0 6x-9 c) 3x-2 ...

A: For (a),     -7x+8≤ 4x-2⇒-7x≤ 4x-10⇒-11x≤ -10⇒x≥1011 For (b),     3-4xx+17-2x≤ 0⇒x≤ -1  or  34≤ x≤72

Q: sec°(x) V cot(x) 6 X dx

A:

Q: Consider the following. T/2 3 cos?(0) de State the half-angle identity that can be used to evaluate ...

A:

Q: I want answer for C onl

A: Given, z5=1

Q: Given soel end price cdemand) functions Cq) 120g 40,200 and p(q) = -2.1q + 890, what is the marginal...

A:

Q: First make a substitution and then use integration by parts to evaluate the integral 6 cos (Vx) dx.

A:

Q: For f(x)= (2x – 3)°, find the equation of the tangent line at x = 0 and x = 2. The tangent line at x...

A:

Q: By direct differentiation, find f(x] where f(x)= lalact!)

A:

Q: 23. Find the point c that satisfies the mean value theorem for integrals on the interval [1,4] for f...

A: The given function is: f(X)=2x2-7x, [1,4]

Q: Calculate the derivative of the following function. y=f(g(6x*)), where f and g are differentiable fo...

A: We have to find out

Q: For f(x, y) = 2x3 + x*y? – 5y? +10, Find fr:

A:

Q: 1. (Based on 7.6.33. from the book) The method of carbon dating makes use of the fact that all livin...

A: For living organisms; C14C12 = constant = 11012   Hence, 14C just before the organism dies; C14 =C12...

Q: Find the derivative of the function. Vi+3 y'(x) = Need Help? Read It

A: Given find derivative of y=4xx2+3

Q: 4. State the domain and range of the following functions. a) у%3D 5х —4 b) y= Vx-x c) ((x,y)ly = vx²...

A:

Q: Problem 2: For the graphs below, write the intervals where the second derivative is a) Positive a) P...

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: The graph of the derivative f'(t) of f(t) is shown. Compute the total change of f(t) over the given ...

A:

Q: Find what value of c does L dx = 1 ? x4 Answer:

A:

Q: Question 14 of 15, Step1 6f The variable a varies directly as the cube of b. If a = 9 when b = 17, w...

A:

Q: 19. Differentiate the following functions. a) y = (3t2 + 2)(3t² – 2t + 1) 12-4t+4 t2-5t+6 b) s=

A:

Q: Find the derivative of y = sech ILe-x)

A: Topic:- derivatives

Q: Given Cost and Price (demand) functions C(q) = 100q + 45000 and p(q) = - 2.8q + 950, what profit can...

A:

Q: Determine the general solution for each given higher order differential equation or particular solut...

A:

Q: Use the Chain Rule to find the indicated partial derivatives. R = ln(u2 + v2 + w2), u = x + 7y,   ...

A: Given that R=lnu2+v2+w2u=x+7y , v=4x-y, w=4xyTo find :∂R∂x,∂R∂yR=lnx+7y 2+4x-y2+4xy2∂R∂x=1x+7y 2+4x-...

Q: az Use the Chain Rule to find az and as for z = x2y3,x = s cos t, y = s sin t. %3D at

A: We will use chain Rule to perform differentiation.

Q: 3. f(x) = 6xi – 3x ; x € [- 2,1 first derivative critical numbers stationary points End Points Absol...

A: Here, the given function is: f(x)=6x53-3x23; x∈-2,14

Q: 36. Adams's Magic Hexagon. In 1957, Clifford W. Adams discovered a magic hexagon in which the sum of...

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly aks ...

Q: 5. Find the Curvature of ř (t) = L", Int,tInt) at the point (1,0.0)

A:

Q: Evaluate the integral. (Use C for the constant of integration.) COS3 sin? dt Need Help? Read It Watc...

A:

Q: Find the component form of the specified vector. The vector PQ , where P = (3, 3) and Q = (-6, -4) O...

A:

Q: Find the derivative of the function. F(e) = (3t + 18)2/3 f "(e) =

A:

Q: 2. Let R = {(1, b) ERX R: there is an integer k such that a – b = 2kn}. Prove that R is an equivalen...

A: us the definition of reflexive , symmetric and transitive property of relation to prove it is equiva...

Q: Question 3 The exponential distribution is a probability distribution that describes the time needed...

A: Given: p(x)=Ce-x11x≥00x&lt;0To find the value of constant  C:

Q: If f(x,y) = e* cos y then fyy (0,) is fyy (0) is

A:

Q: 1. Graph the line using parametric equations from t = 2 tot = 6. x = 10 – 2t, y = 3 – ÷t

A:

Q: Evaluate the integral dx et – e-x

A: