Given vectors = (-1,4) and = (-5,-2); find the dot product .. 06 O-13 O 13 O-3 0-6 O None of the above.

Q: Find the indicated partial derivative. R(s, t) = test; R(0, 4) R₁₂(0, 4) =

A: Final answer: Hence we getRt​(0,4)=1 The partial derivative Rt​(0,4) of R(s,t) with respect to t at…

Q: A tank contains 200 liters of fluid in which 30 grams ofsalt is dissolved. Brine containing 1 gram…

A: See solution in image Explanation:The rate of salt means the rate at which the amount of salt is…

Q: Consider the infinite geometric series Σ 1 -4 23 n-1

A:

Q: for y=4 root x find the differential dy when x=2 and dx=0.3

A: The objective of the question is to find the differential dy for the function y=4√x when x=2 and…

Q: ax For what values of a does the does the function ye satisfy the differential equation 3y"+5y=2y?…

A: To find the values of 'a' for which the function  satisfy thefollowing differential equation.

Q: How do I find the smallest possible value of the sum of their squares?

A: The answer is given below Explanation:

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A: since you have posted multiple questions in this question which are not interlinked so i have solved…

Q: ABC is a triangle with ZA = 60°, ZB = 45°, and BC = 8 cm. Find AC == 16 0 3 04√6 8√6 о 3 064 0 12 O…

A: we need to find out the value of side AC.

Q: Evaluate the indefinite integral. (Use symbolic notation and fractions where needed. Use C for the…

A: 8x4−15x2+cExplanation:

Q: Can you please answer this question using trig substitution

A: Exact answer: 1/3 [2sqrt(2 ) -1] Approximate answer:0.6095Explanation:

Q: Determine whether the series is convergent or divergent. If it is convergent, find its sum. (If the…

A:

Q: help solve please

A: The objective of the question is to find the absolute maximum and minimum of the function 7x^2 on…

Q: Let A = [7 -2 10 4 5 - -9 -2 , Then AB = and BA = 미 The determinant of AB is The determinant of BA…

A: Given:two matricesTo find:matrices AB and BA

Q: 3 In the study of a nonlinear spring with periodic forcing, the equation y" + ky + ry³ = A cos ot…

A: The objective of this question is to find the first three nonzero terms in the Taylor polynomial…

Q: A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt…

A: a) The initial concentration of the solution in the tank is 0.025kg/Lb) The amount of salt in the…

Q: Find the surface area of the solid of revolution obtained by rotating the curve from y 1 to y=4…

A:

Q: Homework

A: written solution provided.Explanation:Step 1: Step 2: Step 3: Step 4:

Q: (BC Topic) (Technology Permitted) The area enclosed by the polar curve = 5-3cos O is Select one: a.…

A:

Q: Find the surface area of the solid of revolution obtained by rotating the curve x = √2y- y² 25 from…

A:

Q: Sketch the region of integration determined by the limits of integration and then switch the order…

A: for region graph is given below changing the order dxdy to dydxnew limits are…

Q: show the work and prove the answer

A: Option C = 1.571Explanation:Refer to the attached image for the step-by-step solution:

Q: Find the directional derivative of the function at the given point in the direction of the vector v.…

A:

Q: existence of lim

A:

Q: Calculate the integral, assuming that 12 g(x) dx = 10. (Give your answer as a whole or exact…

A:

Q: 4 g'(x)=- +9x2, P(1.4)

A: Given that the expression

Q: Provided that f(x, y) is continuous and the region R is given by a < x <b, cyd. Select all of the…

A: Option A and B are correct.Explanation:Step 1: Given that, a continuous function f(x, y) over a…

Q: A plasic bead has the shape of a sphere with a hole drilled through the center. The bead has a…

A:

Q: Find the interval of convergence of the power series is a finite set of values, enter your answers…

A: The given series

Q: Use Green's theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: I=∫CF⋅drI=∫C(3+ex2)dx+(tan−1⁡(y)+3x2)dy

Q: x1 x2 x3 x4 x5 x6 (Note that this is a graph of f', not a graph of f.) At which of the marked values…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find the acceleration of the specified object. (Hint: Recall that if a variable is changing at a…

A: Since the winch pulls the rope at a constant rate, so

Q: 14. cot4 2x dx

A:

Q: Evaluate the integrals that converge, enter 'DNC' if integral Does Not Converge.\int_(-\infty )^7…

A: The given integral is converges.  ∫−∞7​x2+91​dx=31​tan−1(37​)+6π​ Explanation:

Q: A calculator may be used on the following questi The position vector of particle moving in the…

A:

Q: Suppose that the Wronskian of two functions f1(t) and f2(t) is given by W(t) = t² - 4 = det f1(t)…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

A:

Q: Write an equation for the 4th degree polynomial graphed below. Use k if your leading coefficient is…

A: Roots are that point at which the value of the y equals to 0.So,Roots from the graph = -2 , 1 , 3The…

Q: f(x)= x + 1, 0, x²+1, Can also be displayed as: *0 x+1 when x < 0, 0 when x = 0, x² + 1 when x ƒ(2)…

A:

Q: Use complex numbers

A: Final answer:The expression 81a2+5b2 factors into (9a+5​bi)(9a−5​bi).Explanation:Step 1:To factor…

Q: Help

A: ​y=498x2​+3​Explanation:Step 1:​x(t)=7t​ (i)y(t)=8t+3 (ii)​Step 2:​From (ii)t=8y−3​Substitute value…

Q: The first derivative of a continuous function y = f(x) is given. Find y" and then sketch the general…

A: If f(x) is a differentiable function then the critical points of f(x) are the values of x for which…

Q: 1. Find the directional derivative of ƒ at the given point in the direction indicated by the angle…

A:

Q: Let y=sin(4x). If Δx=0.4 at x=0, Find the percentage errorerror =  %

A: The objective of this question is to find the percentage error in the value of y = sin(4x) when Δx =…

Q: Suppose that f(x, y) = x+5y on the domain D= {(x, y) | 1≤ x ≤ 2, x² ≤ y ≤ 4}. D Then the double…

A:

Q: economists interested in price stability have established that the function p(t) = (p0 - pe)e^(k(a…

A: We are given the function for the price of the commodity:p(t) = (p₀ - pₑ)e^(k(a - A)t) +…

Q: 00 Write an equivalent series with the index of summation beginning at n = 1. 03 M n = 0 n!

A: The equivalent series is given by: ∑n=0∞​(n−1)!xn−1​=0!x0​+1!x1​+2!x2​+3!x3​+......Explanation:Step…

Q: A lamina with constant density p(x, y) = 2p occupies the given region. Find the moments of inertia…

A: Given:A lamina with constant density  occupies the given region. the triangle with vertices (0, 0),…

Q: Use the given information to find the exact value of a. sin 20, b. cos 20, and c. tan 20. cos 0= 7…

A: Ans:Detailed answers in explanation pleaseAny confusion please ask in clarification will provide…

Q: Convert the integral 6 LLdyde dy dx 0 -x to polar coordinates and evaluate it (use t for ): ☐, b =…

A: The objective of this question is to convert the given integral in Cartesian coordinates to polar…

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

A: Solution is in explanation area.Explanation: