cars are initially 1200 miles apart. At the same time Car A starts driving at 35 mph to the east while Car B starts driving at 55 mph to the north. At what rate is the distance between the two cars changing after 40

Q: 4. Find the exact value without the use of a calculator. Show all steps. (a) cos(45') cos(15') –…

A:

Q: cos x + sin² x + 1 dx cos² x (sin² x + 1)

A:

Q: Evaluate the integral (Partial Fraction Decomposition) xdx (x² + 2)(x² + 1)²

A:

Q: The sides of an equilateral triangle are increasing at a rate of 10 cm/min. At what rate is the area…

A: let side of triangle = x    Given

Q: Compute f'(1) where f(x)=1/2 e-2x + ln(x2 + 1)

A:

Q: ||P(t) × r"(t)|| Use the formula «(t) to find x(t). r(t) = t²i + t³j K(t):

A:

Q: 27. In how many ways can each of the following be drawn from a standard deck of 52 cards? three…

A: As per guidelines we can solve only first three sub part of the question. Solution From a standard…

Q: Consider the graph and determine the open intervals on which the function is increasing and on which…

A:

Q: 4. The temperature, T, in "C, of a side of beef t hours after it is put in the freezer is given by…

A: Given

Q: Short Answer dr = Inr+c. a) True or False? Please explain your answer. b) c) = ? dz d) What does…

A: Given problems:-

Q: A firm estimates that it will sell N advertising, where dollars. Use the derivative to find the…

A:

Q: Evaluate the integral cos3 x + sin² x + 1 dx cos² x (sin2 x + 1)

A:

Q: 4. The temperature, T, in C, of a side of beef t hours after it is put in the freezer is given by…

A:

Q: (a) Find the extreme values on [–1,4] of p (x) re-z²/8. = xe

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Determine the indefinite integral 6.xV-5]7 dx by substitution. (It is recommended that you check…

A: We have to solve  ∫6·x3·x43-57 dx.

Q: Evaluate the integral (Partial Fraction Decomposition) xdx J (x2 + 2)(x² + 1)²

A:

Q: Consider the function f(x) whose second derivative is f''(x) = 3x + 7 sin(x). If f(0) = 2 and f'(0)…

A:

Q: x² – 2x – 1 dx (x – 1)2(x² + 1)

A:

Q: 2. Find the area bounded by the curve y = x³ – 3x2 from x = 0 to x = 2. -

A:

Q: Sketch the figure or analysis. Shade the needed region and draw representative vertical or…

A: Follow the procedure given below.

Q: Evaluate the following limits if they exicts, show complete solution.

A:

Q: The graph of f is given. Use the graph to compute the quantities asked for. (If an answer does not…

A: Above asked questions are given below.

Q: Solve using trigo substitution

A:

Q: V. How many different ways can the letters of each word can be arranged? 34. CIRCUIT 8. PARALLEL…

A: Permutation

Q: An equation of the tangent line to a curve at the point (3, 5) is y = x + 2. if at any point (x, y)…

A: To find the equation of curve

Q: 06 00 11. Using cofactor method, prove that det M = abcd 0. 0 0 0 0 0 d 3

A: As per our guidelines we can help you in solving only first problem rest of the problems you have to…

Q: What is the slope of the tangent to the curve y=arctan 4x at x= 1/4 A. -2 B. 0 C. 1/2 D. 2…

A: To find the slope of tangent to the given curve.

Q: Find the area of the region. See Examples 1, 2, 3, and 4. f(x) = 6(x³ - x) g(x) = 0 y 10 f 4 -2 -2…

A:

Q: 00 Σ 2 ni(6x – 1)" n = 1 R = Find the interval, I, of convergence of the series. 1. OI = 1%3{1} O I=…

A: Series

Q: -1 Let f(x) = (3 sin z + 4 cos z)tan f'(x) = %3D

A: Given  f(x)=(3sinx+4cosx)tan-1xTo find f'(x):

Q: find the area bounded Curve y=V+5, line X=-- 6

A:

Q: 6. Since 3 is a constant, use the following property of summation to find the sum 3i- | = 1 E ka; =…

A:

Q: Is 34 = m, m being any real number, possible? Explain. [1C]

A:

Q: Solve the differential equations: (a) = 4x+2x+5 where V(1) = 10 .

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: What is the equation of the circle with centre (,0) and radius 2? (2a- 1)2 + y? = 2 4. (2x-1)2 + y?…

A:

Q: Consider the function below. Use it to evaluate each of the following expressions. (If an expression…

A:

Q: Let f(x) = 4x^2 – 7x. Use the ɛ/8-definition of the derivative to prove that f'(2) = 9.

A:

Q: Let f(x) tan-(cos(32)) f'(x) =

A:

Q: 5. Evaluate the expression without using a calculator. Show all steps. (a) sin (4) (b) cot(-210°)…

A:

Q: Find the volume of the solid that results when the region bounded by y = Vā ,y = 0 and æ = 4 is…

A: Volume

Q: Use the Root Test to determine whether the series is convergent or divergent. 00 n = 3 Identify an…

A:

Q: Find an equation of the circle that satisfies the given conditions. Center (-1, 6); passes through…

A:

Q: 3. 1 1 2 4 1 To find the blue shaded area above, we would calculate: | f(x)dx area а Where: a = b :…

A:

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

A:

Q: Prove the following by Mathematical Induction 1. 1/1(2) + 1/2(3) + 1/3(4) +...

A:

Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A:

Q: eax sin bx dx

A:

Q: 5. Determine the values of x for which the function is continuous. 3r +1 e. f(x)= /x – 3 2- 8 4x d.…

A: The function √(x-a) is continuous iff x>=a The function 1/(x-a) is continuous iff x≠a

Q: sec®3xtan3x dx

A:

Q: Sketch the graph of the following equation 2x + 6y + 3z = 12

A: To sketch the graph of given equation