Use the formula к(t): k(t) ||r' (t) x r"(t)|| 3 ||r' (t)||³ r(t) = esti + e¯tj = to find (t). #1

Q: Which of the following Cartesian equations is equivalent to the polar equation T= 4 cos 0? Select…

A: We can convert from polar to cartesian equation as below.

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.

Q: determine maximum/mininum local values and its saddle points for this function  f(x,y) = 3x^4 +…

A:

Q: 1. Suppose a car is travelling on a straight road and s(t) is the distance travelled after For…

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Q: h2 Evaluate the follawingcartesian integrat by changing them inte equivalent Pelar integrals: dy dx…

A:

Q: Solve the differential equation 2xy + y²) dx + (x² + 2xy-y²) dy = 0

A: A homogeneous differential equation is one in which the degree of the function f(x,y) is the same as…

Q: 4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in…

A: We want to find the volume.

Q: 1. JC y = f(x) is transformed to g(x) = 3 f (2x – 6) + 9. The domain and the range of each function…

A: Solving

Q: Solve for n in permutation 9(n²-1Ps) + 9(7²P6) = n²+1 P7 %3D

A: Let's find.

Q: Vx-5 1) Evaluate lim 10. x25 X-25 Show every step.

A:

Q: Given sinα=0.802 and sinβ=0.812 with both angles' terminal rays in Quadrant-I, find the following:…

A:

Q: 13x + 800 The average cost for a company to produce x units of a product is given by the function…

A: We have to solve above question and find the change average cost

Q: Determine the maximum value of f(x)=-x²+2x²+2 on -2 ≤x≤ 3. a) 3.185 b) -7 Od 2 d) 18 2

A: To find the maximum value of the function.

Q: 1 lim (x² –1)sin x+1

A: To find out the limit.

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: A manufacturer needs to make a cylindrical can that will hold 1500cm3 of liquid. Determine the…

A: Let r be the radius and h be the height of the can.

Q: dx = 4x +2y+e'+t dr Write the system in matrix form: dy - 2x - y+ 3e' di 4 A. X'= 1 4 B.X' = 2 -1 3…

A: We have to find the system in matrix form.

Q: F(rn) f(In) for f'(En)] For the function f(r)- tan(z), write Newton's formula as , 1 = In solving…

A:

Q: For the curve with parametric equations x = 4 sin (t) – 1 y= 2 cos (1) + 3 dy find the point dx at…

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Q: Question 1: Find the Laplace transform of the given functions by using the table of Laplace…

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Q: 6. A parallelogram is defined by the vectors (4, 3) and (1, 2). Determine the perimeter of the…

A: The parallelogram is defined by the vectors (4,3) and (1,2)  We have to determine the perimeter of…

Q: Weather condition Sunny Cloudy Rainy Snowy Percentage of days 42% 31% 18% 9% A) 1240 B) 3300 C) 2100…

A: Number of days in 2008 = 366 ( leap year ) Number of sunny days  =42%*366=0.42*366 Number of people…

Q: .3

A: Given: v={ √2,3√2}

Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: Find two positive numbers that satisfy the given requirements. The sum is S and the product is a…

A: Given that the sum of two number is S

Q: Use the properties to evaluate the integrals. 1. S; (1 + ) dx

A:

Q: 8. If F(x)= dt, then F'(x)=

A: Using Leibnitz rule for integral.

Q: r(t) = cos(nt)i – In(t)j+ vt – 16k; to = 17 | -

A: Given :

Q: Select all of the following graphs which represent y as a function of z, 24 REEF

A: Graphs are given, we have to find a graph that represents y as a function of x.

Q: Find dy/dx: 1. у %3D Vu du

A: Given: y=∫0t4udu

Q: Find an equation of the line tangent to the curve r = sin 30 at the point where 0 = klo

A: Polar curve

Q: Find the equation of the final function after all the following transformations have been made on y…

A: The below image has all the steps

Q: determine which statement is true h(x) = (4x – 1)/ (9 – x) (A) not a function (B) function;…

A: h(x) is function and is not defined at x= 9.

Q: 8. Determine if 2n-1 [5 -1 is cont 7n n=1

A: Given

Q: Find the general solution to the differential equation y''+5y'+6y=et

A:

Q: 3. An airplane with an airspeed of 80 meters per second is due east, gaining altitude, and has a…

A:

Q: g expressions a. lim (2z - 1)(2-1)

A: Given : apply chain rule    find limit of about separately

Q: Find fr(r, y) and fy(x, y) given f(r, y) = tan r - cos(r² – y²).

A:

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

A: To solve the given differential equation.

Q: 5. The velocity function of a moving particle on a coordinate line is v (t) = t³ + 6t² + 11t + 6.…

A: Given: v(t)=t3+6t2+11t+6

Q: Given W(-1,5,2), X(6,-2,3) and Y(-2,-7,-3), are points in 3D, then determine the area of…

A: To find the area of the parallelogram formed by two vectors

Q: From a building across the street, the angle of depression of the foot of an edifice is measured as…

A:

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

A:

Q: TOPIC: OPTIMIZATION IN DERIVATIVES Directions: Read and analyze each problem carefully and solve for…

A: Volume

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

A: ∫xndx=xn+1n+1+C ∫1dx=x+c

Q: . Consider the polar curves C1:r= 3 sin20 and C2 :r = 3 cose, and let R be the shaded region as…

A: r=3 sin 2θ and r=3 cos θ R is the shaded region: To Find:a. Find all points of intersection of C1…

Q: Convert the rectangular equation to an equation in cylindrical coordinates and spherical…

A: We have to convert the given equation.

Q: At which point or line is the graph of r = 2 sin 0 + 2 cos 0 symmetric ? Select one: O the pole O…

A:

Q: The particular solution of the following equation by using the method of undetermined coefficients 2…

A: A detailed solution is given below.

Q: 2 Evaluate thefallowing cartesian integrats by - changing theminteequivalent Palar integralse 4- to…

A: Solving