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Differential Equations and Linear Algebra (4th Edition)
- Determine whether the following are linear transformationsfrom P2 to P3. L (p(x)) = xp(x)arrow_forward3. Describe each of the following transformations on y = x2. а. у%3D2x2 b. у%3 (x/3)2 С. у %3D 0.5х2 d. y = (4x)2 %Darrow_forwardWhich of the following transformations are linear? Check all that apply. Note you only have 5 attempts. (E]). [4x - 5y + 2z 9y - 7z = -10x - 3y -2x 5x 8x [6x] A. T B. T C. T OD. T ([]) ¹ ([₁]) = x E. T ([]) F. T = = (1) (1) = = [7x + -X 7 30 10 [y²] N X '5arrow_forward
- State whether the following functions can be graphed in either 2d and/or3d coordinate systems. State your reason why. You do not need to graph to find your answer.arrow_forwardFor Nos. 1 and 2, determine the following. (No need to write any solution.) a. dependent variable(s) b. independent variable(s) c. type d. linearity e. order f. degreearrow_forwardDetermine whether the following transformation is linear. Justify you answer. 2x2 T([^])) = [2²²] - 12 T: R² → R², Tarrow_forward
- The point (-9,-2446) is on the transformed function f(x)=7[1/2(x-5)]^3-45 use the transformation formula (x,y = x/k+d, ay+c) to find the original point of the parent function.arrow_forwardREAD THE FOLLOWING INSTRUCTIONS FIRST: Can you please solve the problem on the picture, Show all of your work and explain each step. PLEASE POST PICTURES OF YOUR WORK AND DO NOT TYPE IT, IT IS HARDER TO UNDERSTAND WHEN YOU TYPE IT! THANK YOU.arrow_forward5. For the transformed function y = 1(1)-x-2 + 1: а. State the parent function. b. Describe all the transformations applied to the parent function. C. Use the mapping rule to sketch the transformed function only. d. Determine a second equation that can represent this transformed function.arrow_forward
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