Question 8 Let a be a real valued constant. Find the derivative with respect to x for the function -1 f (x) = sin(2ax +3). Don't include the restrictions on the domain. O f' (x) = 1-(2ax+3)² -2a O f' (x) = V1-(2aa+3)? O f' (æ) = V1-(2az) O f' (x) = V1-(2az+3)?

Q: f(x) on the 2. Assume that f is twice differentiable. Prove that the curve y = xy-plane has curvatur...

A:

Q: Why do exponential functions and logarithms get such a bad rap? What is there about them that makes ...

A: exponential function is a mathematical function,q mainly used to find the exponential decay or expon...

Q: Find the area of R - region bounded by the curve y = 1/x2 and the lines y = x and y = x/8 O 1

A: Given: The curve y = 1x2 and the lines y = x and y = x8. To find: The area of the region bounded by ...

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

A: As per the company guidelines we can solve first question. I hope that the given solution will help ...

Q: Not yet answered Marked out of 1 P Flag question Find the solution set of 5y-x=2 and x+y=1. О а. (1,...

A:

Q: Find an equation of the plane containing the point P(2,1, –1) and having the normal vector N = -î+3 ...

A:

Q: Find the general solution of the given second-order differential equation. у" - у' — 20у %3D 0 y(x) ...

A: Given that: y''-y'-20y=0

Q: 5) B 57 43° A 12 Y 7) 64° 7 C Solve each triangle. Round

A: Given that:             NOTE: As per our answering guidelines, we can only answer 1 question or 3 su...

Q: Evaluate the integral sec 0 tan e de. Answer:

A:

Q: Given the function f (x) = tan(3x) with the domain -5,5, choose the correct responses to complete th...

A:

Q: Evaluate the definite integral 1.5 5 sec2(x) dæ 0.6

A:

Q: 5. cot Because the terminal side of 4 lies in Quadrant IV, the reference angle e' is 2n -= The cotan...

A:

Q: 1. A parabola with directrix y = -1 and one endpoint of the latus rectum at (-1,3)

A: As per our guidelines we can answer only one question. please repost other seperately.  First of all...

Q: Let us say that you are planning to calculate the volume of the space inside a can that is about 3 i...

A:

Q: Reduce to first order and solve 1> 2xy"= 3y' Cos n ii) xy"+ 2y'+zy = 0, Y, = ニ

A:

Q: Find the general solution of the given higher-order differential equation. d³u d²u 2u = 0 dt3 dt2 u(...

A: Given that: d3udt3+d2udt2-2u=0

Q: (x) dæ + f(x) dæ - f(x) dx 2. can be written as a single integral in the form | f(x) dæ Determine a ...

A:

Q: lim 극 et – 1 x-1

A:

Q: Use the properties of limits to help decide whether the limit exists. If a limit exists, find its va...

A:

Q: P3. Show that all of the following series converge (use the test(s) that you think is most appropria...

A:

Q: Questions: (2 points) Find the tangent plane to the surface of x? + 2² = y? + 9 at (1, – 1,3). 3

A:

Q: want

A: Please refer to the image below

Q: Solve the given initial-value problem. y"' + 4y" + 4y' = 0, y(0) = 0, y'(0) = 1, y"(0) = -6 y(x) = %...

A:

Q: The following statement is TRUE except A. Derivative is the same as slope. B. A function is continuo...

A: Given that: A. Derivative is the same as slope.B. A function is continuous at a number a if limx→a-f...

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x<-2ax+3b,-2≤x≤14x+b,x>1  

Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an answ...

A: We have to find limit Value on the basis of Given graph.

Q: Given that f(x) = x² g(x) = x + 15, find 11x and | (a) ƒ + g = (b) ƒ – g= (c) fg = (d)

A:

Q: 4 Find the arc length of y = (**) + 2(x+3)? over [1,4]. %3D (Use symbolic notation and fractions whe...

A: Here we have to find the arc length of the given function.

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: A patrol car is parked 35 feet from a long warehouse (see figure). The revolving light on top of the...

A:

Q: Consider matrices -1 -2 1 1 -2 1 3 1 2 -1 1 A = В 2 -3 4 -3 4 1 1 1 1 (a) Find the determinant |A| u...

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: y= ex between x= 1 and x = 4

A:

Q: Vx² – 9 lim x→-∞ 2x – 6

A:

Q: Which of the following ordered pairs satisfy the 7x+8y0? а. (1,-5) b. (5,-1) . с. (1,1) • d. (0,0)

A:

Q: The distance of a particle from some fixed point is given by the following function. s(t) =t + 4t-3 ...

A:

Q: Suppose that 4.x2 + 9y2 = 100, where x and y are functions of t. dx 3, find dt dy when x = -4 and y ...

A:

Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

A:

Q: Evaluate the definite integral: 28z* dz

A:

Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) = 1 and f(0) = -3 lim f(x) = -2, X → 2- lim f(x) = 2 and f(...

A:

Q: Given f(x)=−2x^2+4x+13, find f′(−4) using the definition of a derivative.

A: f'(a) = limh→0 f(a+h)-f(a)h.

Q: 4х — 3, 0 < x < 3 - f(x) = 5, х? — 6х + 18, 3 <х x = 3 %3D use algebra to find each of the following...

A: We have to find limit and sketch the graph.

Q: If y = (x? – 4)2 - 2arc sec find y'. 2' Vx² – 4 Vx² – 4 1 Jx² – 4_ 1 4 A. В. C. +- D.

A:

Q: Find values of C1 and C2 so that the given functions will satisfy the prescribed initial conditions ...

A:

Q: E. Find the cartesian equation of the following:

A: Given that: 94sin(2θ)=r2

Q: Find the general solution of the given second-order differential equation. у" — 10y' + 26у %3D 0 y(x...

A:

Q: In this question, we will use the notations A, B, and C to denote the angular measure of the interio...

A:

Q: 4. A student borrowed money from a friend at 5% simple interest to help pay for college tuition. At ...

A: Given, Final amount = $1365 Interest rate = 5% = 0.05

Q: C175 12) Use SPECIAL LIMITS and SQUEEZING THEOREM to find lim f(x) = _ if given X 1 1 (x-1) s f(x) s...

A: Given that: 2x1x-1≤f(x)≤esin(4x-4)(x2-1)      for x≠1

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (cos(x) if...

A: