3. Write equation of the tangent line to the graph of the function f(x) = ecosx at one of the values of x where cosx has its maximum value. %3D

Q: Find a unit vector in the direction of the given vector

A: Follow the procedure given below.

Q: Graph the function and find its average value over the given interval. f(x) = x + 2 on [0,2]

A:

Q: Find dy/dx: solution in handwritten 1. y = 5* (** + dx VE х4 3 -x²,

A: Using leibnitz rule for integral.

Q: 22// use the tests indicated in front of each of the series ollowing to determine if the series…

A: 1. Summation of (k+1)/(k2-1) from k=2 to infinity.  2. Summation of 1/(5k+1) from k=1 to infinity.

Q: y" + y" – 4y' – 4 = 8x + 8 + 6e™

A:

Q: Given the equation r In(y) = z Arctan(3*y). Assuming z as a function of variable dz and y, find

A: The given equation is xln(y)=ztan-13zy ........................................ (1)  Here z =…

Q: 1. Find the derivative of the following: (Simplify your final answers.) sech h. j(r) = e (Using…

A:

Q: Vector Calculus Given, A = 2? zi – 2y32j+ x} zk. Find divA at the point (1, –1, 1).

A:

Q: consider the polar equation defined by r = 5 cos(2 sin 8), where s0< 2n. Determine the missing…

A: as points are already find π6,2.70    π3,-0.80    π2,-2.08  3π4,0.77                      π,5…

Q: determine which statement is true

A: Follow the procedure given below.

Q: Find two positive numbers satisfying the given requirements. The sum of the first and twice the…

A:

Q: write the sum in summation notation, using the given lower bound   1/2+2/3+3/4+4/5+5/6=

A: Given:  12+23+34+45+56 If we see the pattern we can say that numerator and denominator of the nth…

Q: 4–x? c1-a²-y² x dz dy dx = -7+x?+y?

A:

Q: Sketch the graph the integrands and use areas to evaluate the integrals. | Ix| dx -2

A: Follow the procedure given below.

Q: Find dy/dx: solution in handwritten 1. y = , Vu du

A: Note:- Here limit of integral 0 to t4  then in your question we need to find dy/dt instead of dy/dx…

Q: The non-homogenous solution of the following equation by using variation of parameter method y" +y =…

A:

Q: The triple integral SLS (x+2y – 2)dxdydz is equal to -8 -1

A: This can be solved as follows:

Q: Find the x-value maximizing the shaded area on the interval 0 < x < 18. One vertex is on the graph…

A: First  I have found the Area of the shaded region region then find the critical point and then find…

Q: Find the differential dy of the given function. (Use "dx" for dx.) x + 1 4x - 7 dy

A:

Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

A: ddtr1(t).r2(t)=r2(t)dr1(t)dt+r1(t)dr2(t)dt ddtr1(t)×r2(t)=r1(t)×dr2(t)dt+dr1(t)dt×r2(t)

Q: An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a line…

A: Let us sketch the situation roughly using these following information: N = North, S = South, E =…

Q: Differentiate the following, and simplify: a) y = x'e* b) f(x) = 2" + 7** evi c) g(1) = 1+ev

A:

Q: Directions: Solve the following using the theorems on differentiation. 1. Evaluate x5dx 2. Evaluate…

A:

Q: Verify Green's Theorem by evaluating both integrals Lv = / an_ aM dA dx + x² dy * ax ay for the…

A: Given problem:-

Q: Given two vectors u and v that form an angle of 60° (when joined tail to tail) and given that | V| =…

A:

Q: Determine the value of 7A+5B if 19x2 + 43x + 14 Cr + B (x+1)2 A (x – 1)(x +1)? Answer:

A:

Q: Graph the function and find its average value over the given interval. g(x) = |x| – 1 on [-1,1]

A: We have to draw the graph and average value.

Q: 2. DETAILS LARAPCALC10 4.R.086. Find the derivative of the function. 8 In

A:

Q: Find the smallest value of x for which the series (x+ 124)" 2in(n) n 2 is conditionally convergent.…

A:

Q: If 0 < 0 < 7, which of the following points DOES NOT coincide with the polar point (-r, 0)? Select…

A:

Q: Conics Find the equation of a parabola that has focus at (-4,0) and directrix x= 2

A: A detailed solution is given below

Q: 1+cosx Show that if f(x) = In| then f'(x) = -cscx. %3D 1-cosx

A:

Q: Evaluate the integral. (y – 2)(2y + 1) dy Jo |

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: 00 n³n² COS 5n³ +3, 1

A: See the answer below

Q: Q1// Find the Area bounded by: x = -y? and x = y- 2

A:

Q: Q1// Find the Area bounded by: x = -y2 and x = y-2

A:

Q: 1. Sketch the graph of r = 6/ (3 + 3 cose).

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: // Find the Area bounded by: x = -y2 and x = y- 2

A:

Q: Let, \(f(x)=4x^2-12x+10\). Find: (a) the X- coordinate of all critical points, b) the open intervals…

A:

Q: What is the probability you draw two cards of the same color from a standard 52 card deck you are…

A: favourable conidtion is  26C1*25C1 = 26*25 total condition is 52C151 C1 = 52*51 probability =…

Q: Vx-5 1) Evaluate lim 10. x+25 X-25 Show every step.

A: We can find the limit as below

Q: . [ID # ending in 4 or 7] a?v if v csch y = e*². dv Determine ( + ду. ax дх ду

A: Here, the given function is: v csch y=ex2⇒v=ex2csch y⇒v=ex2sinh y

Q: Find the curvature and the radius of curvature at the point t = 0. x = e' cos(t), y = e' sin(t), z =…

A:

Q: per ale hey sepalating 4. A line passes thru (5, 11) and cuts a right triangle with the coordinate…

A:

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

A:

Q: Q2// Solve the following differential equation: e²y dx + 2(xe²y – y)dy = 0

A:

Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) dt…

A:

Q: The particular solution of the following equation by using the D Operator y" + 2y' + 3y = -2x + 3

A:

Q: Find the angle between the diagonals of a cube

A:

Q: If the function is continious at x c, then the right limit at x= c is equal to f(c). Select one: O…

A: To verify if the given statement is true or false.