The equation 2k² - 3k 10 = 0 has solutions of the form k N± √D M (A) Solve this equation and find the appropriate values of N,M,and D. Do not worry about simplifying the VD portion of the solution. N ; D = M (B) Now use a calculator to approximate the value of both solutions. Round each answer to two decimal places. Enter your answers as a list of numbers, separated with commas. Example: 3.25,4.16 k=

Q: Prove the identity. (secx + 1) (secx-1)= tan ²x Note that each Statement must be based on a Rule…

A:

Q: . The voltage,V, in a circuit is slowly dropping at a rate of -0.01 volt/sec as the battery wears…

A: I have appended the formula used in the solution part.

Q: Calculate the derivative. y = x4 - 4 x² 5 (Give an exact answer. Use symbolic notation and fractions…

A:

Q: 3. Determine the equation of the tangent plane and normal line to 2xz + y²z³ = x + 5 at (1,0,3)

A:

Q: Find the inverse of f(x) f-¹(z) = . ✓ 3z + 1 -3x+4

A:

Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A:

Q: Let 0 = tan-¹ (-3), then tan0 = and is in quadrant Now use trig identities to find the other 5…

A: Given problem:-

Q: X A b B a C) C D d is solved by trigonometric substitution, which of the following (b) x = √5 sec8…

A: We can solve as follows

Q: quotient (Express numbers in exact form. Use symbolic notation and fractions where needed.)…

A: Given query is to find the derivative of the expression.

Q: 21. Given the integral [ cot³x csc ³x dx. If u = cscx, then the integral can be re - written as:

A:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. (1+tan ²x) cotx =…

A: The given identity,     1+tan2xcotx=secx cscx

Q: 1. f (5x¹8x³ 2. f (4x + 2) de +6x² - 4x + 7) dx

A: Topic:- integration

Q: Use the formula k(t) k(t) = = ||r' (t) x r"(t)|| ||r' (t) ||³ = 10t. r(t) = e¹0ti + e-tj to find…

A: We have to find k(t)

Q: a) lim f(x) 2-0- c) lim f(x) e) lim f(x) 4 3 2 1- 0 + -1- Š 4 b) lim f(x) 2-0+ d) f(0) f) lim f(x)

A: a) limx→0-f(x)=-∞b)  limx→0+f(x)=2c) limx→0f(x)=Does not existd) f(0)=2

Q: a's father is planning to open a savings account to pay for Amelia's college education. He has found…

A: Given query is to find the value of deposited amount.

Q: The velocity of a particle moving in a straight line is given by v(t) = t² + 4. (a) Find an…

A:

Q: Find the area of the region bounded by the graphs of the equations. y = 2+√√x, x = 0, x = 8, y = 0

A:

Q: 11. Given: √√√-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms…

A: The given integral is: I=∫-x2+4x+5dx That can be written as:…

Q: Fill in each blank so that the resulting statement is true. The change-of-base property for…

A: Given problem:-

Q: Find the area of the region that lies inside the first curve and outside the second curve. r = 6 - 6…

A:

Q: Calculate the derivative. ƒ(x) = (6e* − 7x²) (x³ + 1) (Use symbolic notation and fractions where…

A:

Q: A b B d a The integral 15x²x³43x - 19 (x + 1)²(x² - 6x +13) can be rewritten as Ax + B D C + ax² +…

A:

Q: How many times will you perform integration by parts to evaluate sin (Inx) dx? A 4 (B 2 1 3

A:

Q: Question 3 This question is not about solving the stated problem, but about understanding it. A…

A:

Q: Calculate the derivative. f(x) = 6 - 9x¹/3 +9ex (Use symbolic notation and fractions where needed.)

A:

Q: 16. Using integration by parts to solve 2√4x²+k A. -√4-x² + k √4x²+k -2√4x²+k B. C. x³ dx √4-x² and…

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

Q: Find the average value of the function over the given interval and all values of x in the interval…

A:

Q: x1

A: answer is in next step

Q: Describe the graph of the equation. r = 6 cos ti - 10 sin tj + k major axis of length 6 parallel to…

A: The graph of the given parametric curve is:

Q: domain of the function: A = 8 B = and C= 8 For each of the following intervals, tell whether f'(x)…

A:

Q: 5. Evaluate 4 1+√√/5x J -dx

A:

Q: Fill in each blank so that the resulting statement is true. = The quotient rule for logarithms…

A:

Q: 2b. Explain the difference between a partial derivative and a directional derivative.

A: Dear learner, as per our guidelines we can provide the solution for one part only. Kindly post other…

Q: Find T(t) and N(t) at the given point. x = T(0) N(0) = = = e cost, yet sint, z = e; t = 0

A:

Q: (A) = and B D = . Find the vector projection of A onto 2AD- BO O O O none of the above

A:

Q: Q1: Find partial derivatives of the function with respect with each variable 2) f(x, y) =…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: Use the ratio test to determine whether n3n (n + 2)! n=29 converges or diverges. (a) Find the ratio…

A:

Q: Fill in the blank so that the resulting statement is true. 7x-23 If In = In (x-3), then =x-3. x + 2

A: ln7x-23x+2=lnx-3⇒7x-23x+2=x-3

Q: 2x+1 x²-7x+12 S -dx

A: At first, we will do partial fraction then we will do integration

Q: 22-12x To solve S; x²(3x²-10x-8) form of the partial fractions for this integral? A(2x) + B C D (A)…

A: ∫22-12xx23x2-10x-8dx

Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

A:

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: lim ²+2x+4 2-1 31²-2+8 LIMIT VALUE: lim 2-0 LIMIT VALUE: lim x-1 LIMIT VALUE: +6-√6 z ²+81-5 3x+7

A:

Q: y=x√1 + x²

A:

Q: Find the average value of the function over the given interval and all values of x in the interval…

A: Let's find.

Q: 3) f(x, y, z) = x² + y² -2=²+ = ln(x), (1,1,1)

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Use the method of Lagrange multipliers to maximize the function subject to the given constraint.…

A: we have to find the point (x, y)

Q: given: W = x² + 2y² + 2² x = cos (st) : y - 2s int 35² √+ chain role, find 3 × 502 8 using dw Ət

A: To solve the following problem

Q: +3x²+7x+28 18. Using partial fraction in evaluating x³+x²+7x 1/2(2x + 1) - 17/7/2 6-2x -…

A:

Q: sin(x)cos(2x)sin(3x) dx A B D sin(3x) cos(3x) sin(2x)cos(2x) sin(2x) + + 12 8 sin(3x)cos(3x) 12 +…

A: We have to find integration of given trigonometric term.