For the graph of f(x) = x-7x² -6x +5, find the value(s) of x for which the tangent to the curve is parallel to the line x+y+15 = 0 3) %3D

Q: | (1– 2r)dr

A: Given:∫01(1-2x)dx = ∫011dx- ∫012xdx                     ∫fx±gxdx=∫fxdx±∫gxdx…

Q: Suppose a curve is traced by the parametric equations 3(sin(t) + cos(t)) = x у 3 18 — 6 соs"(€) — 12…

A:

Q: Given Rn 2+i- cos ( 2+i , express the limit as n → 0 as a definite integral, that is provide a, b…

A:

Q: A company that produces cell phones has a cost function of C = 6x² – 197x + 1859, where C is the…

A: C= 6x2-197x+1859differentiating w.r.t xC'=12x-197+0C'=012x-197=0x=19712

Q: Solve the initial value problem (b) y^ prime +2xy+xy^ 4 =0 ; y(0) = 1

A:

Q: You remove your pecan pie from the oven and place it on the counter for an hour before serving it.…

A: The temperature T in degrees Fahrenheit of pecan pie is modeled by T=f(t) where t is the time in…

Q: 19. inside * = 5sin O and outside " =2+sin0

A:

Q: 5. show that the equaution sin X-3x+1=0 has only one real root

A:

Q: 16. Given: f(x) = (x+2)² ’ (x+2)' (x+2)* x-intercept(s) y-intercept Vertical Asymptote(s) Other…

A: Solution is here

Q: A business determines P(40) = 3000, %3D P'(x)0 where P(x) is the profit in thousands of dollars at a…

A:

Q: 2. Find the absolute minimum and the absolute maximum of the function f(x) = x - 4r +5 on the…

A: Steps to find the absolute maximum and minimum of a function f(x) on [a,b].  : Find the critical…

Q: * Your answer is incorrect. Use Green's Theorem to find the work done by the force field F(x, y) =…

A:

Q: Let T be a linear transformation from M, , into M, , such that 2,2 1 -1 0 2 0 0 1 1 Find

A: T be a linear transformation from M2,2 inti M2,2 such that,T1000=1-102, T0100=0211, T0010=1201,…

Q: Evaluate the double integral over the rectangular region R.R. ∬R7xy3dA;∬R7xy3d⁢A⁢; R={(x,y):…

A:

Q: F(4) = [, * G&+2) dt (3t +2) dt

A: Consider  F(x)=∫2x+2(3t+2)dt

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: In the given question first, we will form a figure using the given information   And we will use the…

Q: Use the graph to answer these questions a Find lim 1(x) and lim 1(x). x-4 b. Find lim f(x) c Find…

A: a) limx→4+f(x)  is the value that the function approaches to from the right sideFrom graph f(x)…

Q: Write the vector equation 2 3 1 3. + x2 -2|+ x3 1 -3 (a) Write as a system of linear equations. (b)…

A:

Q: sinex) sintpx) x

A:

Q: Use linear approximation, i.e. the tangent line, to approximate V16.2 as follows: Let f(x) = Va.…

A:

Q: Consider the change of variable u = xy and v = 3y + 2x and the integral 2.r + 3y – 6 =0 - ||. (2r²y…

A:

Q: Consider the points below. P(3, 0, 3), Q(-2, 1, 4), R(7, 2, 5) (a) Find a nonzero vector orthogonal…

A: calculation of above requirement are as follows

Q: 20 . Using the definition of derivative at a point, f'(9) f(x) – f(9) x – 9 Let f(x) lim enter %3D…

A: Given: fx=20x It is given that definition of derivative at a point x =9 is defined as…

Q: 3. Suppose that the revenue in selling x tables is equal to 200x – 0.25x2 dollars, and producing a…

A: Suppose that the revenue in selling x tables is equal to 200x-0.25x2 dollars, and producing a table…

Q: Find the derivative of y(x) = In (8(In(x))'). (Use symbolic notation and fractions where needed.) dy…

A:

Q: Find the domain of the vector function. (Enter your answer using interval notation.) r(t) = (v 36 –…

A:

Q: Evaluate the integral of sec^5 (x) tan^3 (x) dx * 1/7 sec^7 (x) - 1/5 sec^5 (x) + C 1/3 tan*3 (x) +…

A: Given: I=∫sec5xtan3xdx   As we know that; The trigonometric identity; sec2x=tan2x+1 The Power rule;…

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A:

Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

A:

Q: Suppose that z = f(a, y) is differentiable at the point (1024, 1024) with, (1024, 1024) = 5…

A:

Q: Kuya Bill is selling 'Bill phones'. If the cost for selling r phones is given by 10000 C(r) = 120x +…

A: Given, Cost function, C(x) = 120x + 10000/x - 2000 Price Dand function, p(x) = 1000 - 2000/x2 + 200x

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 5

A:

Q: 1 Let F be a vector field in IR whose components have continuous partial derivatives. Consider the…

A:

Q: Mark the critical points on the following graph. | 20- 16- 12- -5 -4 -3 -2 -1 2 3 -4 --8- -12- 16

A:

Q: Find an equation for the line that is tangent to the caurve y= 3x-3x at the point (-1,0). The…

A:

Q: 31 + 98.6, where Tis the temperature, in degrees Fahrenheit, at time t, in hours. R+1 The…

A: The temperature T of a person during illness is given by Tt = 3tt2+1+98.6°F…

Q: Use the function to find the image of v and the preimage of w. T(v,, v v,) = (4v, - v,, 4v, + 5v,),…

A:

Q: Verify the formula LF a ds = S cdiv F dV in the Divergence Theorem by evaluating the surface…

A:

Q: 4. A COHunu Iunctio JU), laS a uoma -6 <x<-2 x=-2 -2 <x<0 x=0 0< x<6 f' does not exist f" does not…

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

Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x, x = 2, x = 5 and y =…

A:

Q: Solve the following differential equations of (x' +y')dx + (2xy + cos y)dy

A:

Q: A region Rxy, in the XY plane, is shown below: A) 1- JJRa 2r + 3y – 6 = 0 2r +3y+1 0 Rry %3D…

A:

Q: The solution to the indefinite integral 3. + 7x 1)dx is given by which of the following? Note: C is…

A:

Q: Determine the area to the left of g(y) = 3-y2 and to the right of x = -1

A: Area

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x312 from (0, 0) to (4, 8)

A:

Q: Use the principle of mathematical induction to show that the given statement is true for all natural…

A: Question number 6 has been solved as per the requirement of the student.   This question can be…

Q: Use Stokes' Theorem to evaluate curl F. ds. F(x, y, z) = ze'i + x cos(y)j + xz sin(y)k, S is the…

A:

Q: Assume the annual rate of change in the national debt of a country (in billions of dollars per year)…

A: Solve for debt equation by integrating the given equation.

Q: Differentiability of f(r, y) at point (a, b) Let f: R R be a function given by if (r. y) (0.0). f(r,…

A: Given

Q: The function f is given by f(x)=9.x^2/3+3x-6 has a relative minimum at x=? A. -8 B.-1 C.-1/8 D.0

A: